Home >

Professor in Mathematics

PhD (Mathematics) (University of Pune)

Specialization: Integral Transforms and Special functions

PhD (Mathematics) (University of Pune)

Specialization: Integral Transforms and Special functions

Education

·PhD in Mathematics

Academic Experience

·Working at Mukesh Patel School of Technology Management & Engineering as Professor in Basic Science and Humanities Department since November 2006 till date.

·Worked under Mumbai University for 12 years before November 2006.

Present Research work

(a) Integral Transforms and operational calculus (AMS classification: 44,42)

(b) Wavelet Transforms (33C05)

(c) Functional Analysis Generalized functions (distributions): (AMS-classification: 46 F12)

(d) Mixed Radix System

(e) Transforms to Kekre's function

(f) Discrete transforms, Interdisciplinary Research.

(g) Fractional Calculus and generalizations. (AMS classification: 26, 26A33)

(h) Fractional Transforms and generalizations.

(i) Ridgelet transforms and curvelet transforms.

Certification or Professional Registrations

·Machine Learning Using Python, MPSTME in association with IET from 3rd to 7th December, 2018.

·Technical committee, 3rd On-line International Conference on Ancient Mathematics and Science for Computing (AMSCO2K18); (World’s First Series of On-line International Conference on Ancient Mathematics and Science), 23-24 November 2018.

·NPTEL (National Programme on Technology Enhanced Learning) Elite-Certificate, received on 18 November 2018 for the 8-weeks online course "Introduction to Machine Learning" held between 27 August 2018 to 26 October 2018 .

·Resource person for Student Development Program (SDP) 3^{rd}July and 4^{th} July 2018, "Mechanical Application Using
MATLAB" held at Thakur College of Engineering.

Current Membership or Professional Organizations

·Indian Academy of Industrial and Applicable Mathematics, IAIAM

·Indian Society for Technical Education, ISTE

·Indian Nuclear Society, INS

·International association for the engineers and the computer scientists, IAENG

·Indian Mathematical Society, IMS

·Indian Academy of Mathematics, IAM

·Society for Special Functions and their Applications, SSFA

·Indian Science Congress Association, ISCA.

Honors and Awards

- Recipient of Bharat Jyoti Award, Certificate of Excellence is awarded by India International Friendship Society on 15 April 2015 at New Delhi.
- Awarded Outstanding Scientist Award in December 2015, by VIFRA 2015 at Chennai.
- Received an Open Arms travel grant in 2018, International Congress of Mathematicians (ICM 2018) in the Rio-Centro convention center, Brazil, Rio de Janeiro.
- Invited for "The International Mathematical Union Committee for Women in Mathematics (CWM)" offered free registration at the World Meeting for Women in Mathematics at (WM)² on July 31, 2018 in Rio de Janeiro.
- Invited as an Organizing Committee Member and keynote speaker at the International Conference on Quantum Physics, Optics and Laser Technologies, May 9-10, 2018 Tokyo, Japan.
- Accenture felicitated as a women achiever on March 8, 2018 for the contributions and achievements in academic, co-curricular and other activities.
- Best Scientist/
Researcher Award: IMRF Academic Excellence Award under the category of subject
Mathematics in 2017 in support of UNESCO’s 70
^{th}Anniversary Celebrations, at Pajifond, Margao, Goa, India. - Nominated for Research Excellence Award: ICJMSNTSFA-2016:
The 29
^{th}International Conference of "The Jangjeon Mathematical Society on Number Theory and Special Functions and its Applications”, at Pondicherry, India.

Service Activities

- Department level responsibilities – course design, course curriculum, BOS, workshops design, pedagogy and implementation techniques etc.
- School level responsibilities / initiatives - Head of the department for Basic Sciences and Humanities and first year (all branches) B. Tech and MBA Tech for 5 years from July 2012 till October 2017.
- Member of Anti Ragging Committee.
- Member of Woman Grievance Cell.
- Chairperson for Convocation (Discipline and member allocation).
- Criterion responsibility NBA and NAAC.
- Member Board of Studies.
- University level responsibilities - Criterion VII representative, during Visit of NAAC team MPSTME, from 20 August 2017 to 22 August 2017.

Positions Held:

- Editor: Springer-Verlag Communications in Computer and Information Science, volume 145, TSM.
- Chair: ICATE 2013 IEEE collaboration on IEEE X-plore digital library.
- Editorial Member: World Research Journal of Mathematics (WRJOM), International Journal Publisher: Bioinfo Publications DOI: 10.9735/.
- Reviewer: Horizon Research Publishing is an open access publisher, http://www.hrpub.org/journals/journal-subject.php.
- Editorial Board member of American Journal of Mathematical Analysis http://www.sciepub.com/journal/AJMA/editorialboard.
- Editor of the Special Issue: Science and Education Publishing (SciEP), USA, http://www.sciepub.com/.
- Reviewer: Elixir journals, Reviewed paper in Applied Mathematics.
- Reviewer: Advances in Operator Theory (AOT) http://www.aot-math.org/ Name visible on the website, Invited to join as a reviewer on 9/18/2016.

Books and chapters published:

·Author of Advanced Engineering Mathematics, Ane Books, Vol. I, ISBN- 8180522431. 2009

·Compiled as an editor of Springer-Verlag Communications in Computer and Information Science, volume 145, TSM 2011, ISBN: 978-3-642-20209-4.

·Compiled in collaboration with IEEE X-plore digital library 2013

·Author of Chapter of the Book Advanced Mathematics: Theory and Applications Continuous Hankel-Clifford Wavelet Transformation, Research India Publications, Chapter 16, pp. 175-187, Published in January 2017.

Publication in Last Five Years:

List of Journal publications:

Finite Generalized Hankel Transformation on Different Spaces Extended to Class of Generalized Functions, IAENGInternational Journal of Applied Mathematics, vol. 49, no. 3, pp289-298, 2019.

Representation of finite transforms and its relations, International journal of research and analytical reviews, UGCJournal No. 43602, Volume 6 Special Issue, pp: 243-251. http://doi.one/10.1729/Journal.20927.

The generalized HCT with compact support on certain range, Bulletin of Mathematical Analysis and application, communicated.

Lakshmi Gorty, V. R., 2018, Application of $k$-Laplace transform to estimate the time value of money in quantitative finance NMIMS (Special issue), Journal of Economics and Public Policy,January 2018, pp: 26-30.

Distributional Finite-Generalized-Laplace Hankel-Clifford-Transformation, Journal of Global Research in Mathematical Archives, Vol. 4, (11), (November 2017), pp: 5-20.

Lakshmi Gorty and Khinal Parmar; Finite Laplace transform of spherical Bessel Functions, Indus publishers, International journal of research in IT, Management & Engineering (ISSN: 2249-1619), Vol. 7, No. 10, October 2017, pp: 33-37.:- IJREISS scopusid: 13FFDB7E6B249066. $ http://www.indusedu.org/pdfs/IJREISS/IJREISS_1380_34575.pdf.$

The finite generalized Hankel-Clifford transformation of certain spaces of Ultradistributions with applications to heat equations, Journal of Mechanical and Civil Engineering (IOSR-JMCE) with e-ISSN: 2278-5728, p-ISSN: 2319-765X, Vol. 13, (5), Ver. III, pp. 73-77, September-October 2017.

The generalized Hankel-Clifford transformation of certain spaces for a class of ultradistributions, International Journal of Current Advanced Research (ISSN:-No.: 2319-6475 P: 2319-6505), IJCAR, Vol. 6; (10); October 2017; pp: 6588-6597.

DOI:http://dx.doi.org/10.24327/ijcar.2017.6597.0974

Lakshmi Gorty and Nitu Gupta; A review article: The continuous ridgelet transform and its Application, Journal of Computer and Mathematical Sciences, Vol. 8, Issue 10, October 2017, pp: 533-547. http://compmath-journal.org/dnload/V-R-Lakshmi-Gorty-and-Nitu-Gupta/CMJV08I10P0533.pdf.

Generalized Hankel-Clifford transformation for a class of tempered ultradistributions, International Journal of Emerging Trends & Technology in Computer Science (IJETTCS), Vol. 6, (5), September-October 2017, pp: 109-113. http://www.ijettcs.org/Volume6Issue5/IJETTCS-2017-10-05-50.pdf.

The distributional continuous fractional generalized Hankel-Clifford transformation, Forum D'Analystes: The Journal of Analysis, ISSN 0971-3611, J Anal, DOI 10.1007/s41478-017-0026-9, published on 2017-02-20, Springer.

The Fourier-Bessel Series Representation of the Pseudo-Differential Operator for generalized Hankel-Clifford transforms and finite generalized Hankel-Clifford transformation, The Journal of the Indian Academy of Mathematics, JIAM Vol. 38, No. 2, Nov. 2016, pp: 211-223.

Fractional power theory for eigenfunctions of Hankeltransforms, Bulletin of Mathematical Analysis and Applications, December 2016, Vol. 8, issue 4, pp: 56-66.

The properties of Bessel-type fractional derivatives and integrals, Journal of Advances in Physics, May 2016, Vol. 11, No. 9, pp: 3973-3982.

Finite-Generalized-Laplace-Hankel-CliffordTransformation, Recent and Innovation Trends in Computing and Communication (IJRITCC) in April 2016, Vol. 4, No. 4; Scientific Journal; pp: 82 - 89.

Two complex variants of fractional powers of generalized Hankel-Clifford transformation of generalized functions, April 2016, IEEE-Xplore 978-1-4673-9939-5/16/2016 IEEE.

http://iceeot.org/papers/OR1072.pdf ; pp: 3385-3390.

Radiation-type of problems using generalized Hankeltype integral transformation, Journal of Chemical, Biological and physical sciences. Review E-3 Journal of Sciences, JCBPS; Section C; February 2016 - April 2016, Vol. 6, No.2; pp: 498-504.

Lakshmi Gorty, V. R., Shashank Prabhu,Shaila Parekh, Dhwani Shah, Sachin Mistry, MayankTolia, 2016, Random variables and probability in cricket game management, Journal of Computer Science & Computational Mathematics, Vol. 6, No. 1, March 2016, pp: 11-16, DOI: 10.20967/jcscm.2016.01.002 .

On Generalized Hankel-Clifford transformation of Hilbert spaces of distributions, J$ddot{o$ kull Journal, Vol. 65, No.12; Dec 2015, http://www.jokulljournal.com/coredoux/index.php/pdf/stream/SR4sI/1449243148, pp: 364-376.

The Generalized Hankel-Type Wavelet Transform on certain distribution spaces, HFSP Journal, Vol. 9, No. 10, Oct. 2015; pp: 9-19.

A relation between Laplace and generalized Hankel-Clifford transformation, Communications on Applied Electronics, Vol.2, No.8, Sept. 2015, pp: 17-19.

Continuous Generalized Hankel-type integral wavelet transformation, Journal of Advances in Mathematics, Vol.11, No.3, Aug. 2015; pp: 5050-5058.

On the distributional finite generalized Hankel-Clifford transformation of Second kind, International Journal on Mathematical Sciences and Applications, Vol.5, No.1, Jan. 2015, pp: 35-45.

Continuous fractional generalized Hankel-Clifford transformation, Journal of Science and Arts, Vol.1, No.30, March 2015, pp: 1-18.

A study of continuous fractional generalized Hankel-Clifford wavelet transforms, Konuralp Journal of Mathematics, Vol. 2, No.2, October 2015, pp: 29-38.

A perspective on fractional Laplace transforms and fractional generalized Hankel-Clifford transformation, Tbilisi Mathematical Journal, Vol.8, No.2, Feb. 2015, pp: 23-33.

The finite generalized Laplace Hankel-Clifford transformation, Journal of Advanced Mathematics and Applications, American Scientific Publishers; Vol. 4, issue 2, 1-7, 2015.

doi:10.1166/jama.2015.1078.

Lakshmi Gorty, V. R., and Kekre, H. B., 2014, Integration technique method using Kekre transforms, Advances in Computer Science, Vol.3, No.4, July 2014, pp: 59-67.

Continuous generalized Hankel-Clifford wavelet transformation on certain distribution spaces, Investigations in Mathematical Sciences, Vol.4, No.2, Dec. 2014, pp: 115-123.

Computation of discrete generalized Hankel-Clifford transform, ELIXIR Journal, http://www.elixirpublishers.com/articles, Vol.71, July 2014, pp: 24990-24998.

Continuous Hankel-Clifford wavelet transformation on certain distribution spaces, International Journal of Engineering Sciences Paradigms and Researches, Vol.11, No.01, Feb. 2014, pp: 1-10.

Lakshmi Gorty, V. R. and Kekre, H. B., 2014, Fourier Transforms to Kekre'sfunction, International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering, Vol.3, No.2, Feb. 2014, pp: 7067-7076.

List of Conference publications:

Lakshmi Gorty, V. R., 2019,

Optical propagation using continuous finite Hankel-clifford transformation in 2-dimension

Speaker to the International Conference on Physics November, 2019 at Tokyo, Japan. The theme of the conference is ‘Exploring the Latest Frontiers in Physics’.

Lakshmi Gorty, V. R., 2019,

The ``Conference on functional analysis @ IIT Bombay'' at IIT Bombay during October 17- October 20, 2019. The conference is fully supported by the National Board of Higher Mathematics (NBHM) and IIT Bombay.

Lakshmi Gorty, V. R., 2019,

Representation theory for finite Hankel-Clifford transforms using complex inversion operator, "8th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2019)” in Baku, AZERBAIJAN, August 27-30, 2019.

Lakshmi Gorty, V. R., 2019,

Vibrations of membranes with generalized finite Hankel transformation, International conference on numerical optimization in engineering and sciences (NOIEAS-2019), organised by department of Mathematics, National Institute of Technology Warangal, 19 -21 June, 2019 India.

Lakshmi Gorty, V. R., 2019,

Application of finite fractional Hankel-type transformation in Dirichlet’s problem,International Conference on Differential Equations and Control Problems-Modeling, Analysis and Computations, (ICDECP19) held between 17-19 June, 2019, IIT Mandi, H. P. India.

Lakshmi Gorty, V. R., 2019, Plancherel formula for finite generalized Hankel transform of third kind, International Conference on "Emergent Research in Mathematics and Engineering - (ICERME-2019)”, during $May 17^{th & 18^{th$, 2019, organized by Department of Mathematics, NIT Agartala.

Lakshmi Gorty, V. R., Amartya Mannava, 2019, Python analyzing delayed payments in time-dependent deteriorating items, keynote speaker on "Recent Trends in Applied Mathematics" RTM'19 in Conjugation with DISP Conference from 29-30 April, 2019, in St Hugh's College, University of Oxford, United Kingdom in Oxford City, United Kingdom, ISBN: 978-1-912532-09-4. %(Ref: 142). Paper reference: Investigations in Mathemtical sciences, vol.1, september 2011, 117-126.

Lakshmi Gorty, V. R., 2019, Representation of finite transforms and its relations, International conference on efficacy of software tools for mathematical modeling (ICESTMM 2019) in association with University of Mumbai & Indian Society for Technical Education (ISTE) held between $19^{th$ to $20^{th$ April, 2019, organized by Thadomal Shahani engineering college.

Lakshmi Gorty, V. R., 2019,

An outlook of Women in Mathematics in this era

Theme of the Panel: Women in Technical Education, Panel talk, A two -day national conference on "Role of Women in Technical Education: Entrepreneurship, Research and Consultancy" (RWTE-2019), 8-9 March 2019, organized by NIT, Warangal.

Lakshmi Gorty, V. R., 2018,

Wavelet transforms and pseudo operators to the relation between Fourier and continuous Hankel-Clifford transform for radially symmetric functions, National Conference on Mathematical Analysis and Mathematical Modelling (NCMAMM-2018),during 07-08 December- 2018 organized by Calcutta Mathematical Society.

Lakshmi Gorty, V. R., 2018, Parseval's continuous Hankel ridgelet transformation is defined using reconstruction formula, Registration number: 913, International Congress of Mathematicians 2018 (ICM 2018), from August 1st to 9th, 2018, Rio de Janeiro, International Congress of Mathematicians (ICM) in its largest and most traditional convention center: Riocentro, in the Barra da Tijuca neighborhood.

Lakshmi Gorty, V. R., 2018, The generalized Hankel-Clifford and extended generalized Hankel-Clifford transforms with compact support on certain range, as a keynote speaker at the International Conference on Quantum Physics, Optics and Laser Technologies, May 9-10, 2018 Tokyo, Japan. Theme: "A New Era in Modern Physics and Laser Optics for the Next Generation".

Lakshmi Gorty, V. R., 2017, The use of finite Hankel-Clifford transforms of first kind of arbitrary order in statistics, TOPAS 2017, a National Conference on engineering mathematics organized by Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur -721302, West Bengal, India, between 16-17 December, 2017.

Lakshmi Gorty, V. R., and Nitu Gupta, 2017, Representation of continuous ridgelet transform with applications, 83rd Annual Conference of IMS- an International meet by Department of Mathematics, Sri Venkateswara University, Tirupati (Andhra Pradesh), December 12-15, 2017.

Lakshmi Gorty, V. R., 2017, A Parseval's equation and finite generalized Hankel-type transformation, 83rd Annual Conference of IMS- an International meet by Department of Mathematics, Sri Venkateswara University, Tirupati (Andhra Pradesh), December 12-15, 2017.

Lakshmi Gorty, V. R., 2017, Reconstruction formula for continuous Bessel ridgelet transforms, International Conference on Analysis and its Applications, ICAA 2017, November 20 - 22, 2017, Aligarh Muslim University, Aligarh, India.

Lakshmi Gorty, V. R., 2017, Study of continuous Bessel ridgelet transforms using theory of convolution, International Conference on Special Functions & Applications (ICSFA-2017), (XVIth Annual Conference of Society for Special Functions and their Applications) & Symposium on Application of Mathematical Sciences in Engineering Problems, November 2-4, 2017, Organized by Department of Mathematics, College of Engineering and Technology, Bikaner-334004, Rajasthan, India & Society for Special Functions & their Applications, India.

Lakshmi Gorty, V. R., 2017, The generalized Hankel-Clifford transformation on certain spaces for a class of tempered ultradistributions, for planery talk, 11th ISAAC congress, ISAAC-2017, The International Society for Analysis, its Applications and Computation during 14-18 August 2017 at Linnaeus University, Sweden.

Lakshmi Gorty, V. R., 2017, Generalized Hankel-Clifford wavelet transformation on Sobolev spaces, International Conference on Mathematics-2017, ICM 2017, between: August 3-5, 2017, Ooty, India.

Lakshmi Gorty, V. R., 2017, Generalized Hankel-Clifford transformation for a class of ultradifferential functions, National Conference on Pure and Applied Mathematics-2017, NCPAM-2017, held at COEP, Pune, India, 17-19 May, 2017.

Lakshmi Gorty, V. R., 2017, Finite generalized Hankel-Clifford transformation for a class of ultradifferential functions, ICMES 2017, IMRF's 52nd international conference, International Conference on Advances in Mathematics & Engineering Sciences-2017, communicated and accepted to be presented at Chandigarh, India, 27-29 April 2017.

Lakshmi Gorty, V. R., 2016, The Fourier-Bessel Series Representation of the Pseudo-Differential Operator for Generalized Hankel-Clifford transforms and finite generalized Hankel-Clifford transformation, International webinar as aKey Note Speaker 2016, href{http://www.amsco2k16.in www.amsco2k16.in, Conducted by World's First On-line International Conference on ANCIENT MATHEMATICS & SCIENCE FOR COMPUTING ( AMSCO2K16) 21ST-22ND October, 2016.

Lakshmi Gorty, V. R., 2016, The distributional continuous fractional generalized Hankel-Clifford transformation, International Conference on Mathematical Analysis {& its Applications, ICMAA 2016, Department of Mathematics, Indian Institute of Technology Roorkee, India to be held between November 28 - December 02, 2016, submitted on 29 Jun 2016.

Lakshmi Gorty, V. R., 2016, Composition of operators associated with fractional generalized Hankel-Clifford transformations, ICJMSNTSFA-2016, The 29th International Conference of"The Jangjeon Mathematical Society on Number Theory and Special Functions and its Applications", Pondicherry University, Pondicherry, India, 08-10 August 2016.

Lakshmi Gorty, V. R., 2016, A study of finite generalized Hankel-Clifford transformation of fourth kind with their applications in Partial differential equations, Third International Conference on Electrical, Electronics, Engineering Trends, Communication, Optimization and Sciences -2016, EEECOS-2016, June 1-2, 2016, Publishers: IET-IEEE X-plore.

Lakshmi Gorty, V. R., 2016, Two Variants of fractional powers of generalized Hankel-Clifford transformations of arbitrary order, International Conference on recent trends in engineering and Material Sciences, ICEMS-2016, Jaipur National University, Jaipur, India between March 17-19, 2016, Publishers: Elsevier.

Lakshmi Gorty, V. R., 2016, Two complex variants of fractional powers of generalized Hankel-Clifford transformation of generalized functions, International Conference on Electrical, Electronics, and Optimization Techniques, ICEEOT-2016, held betweenMarch 3-5, 2016, paper published inIEEE X-plore.

Lakshmi Gorty, V. R., 2016, Radiation-type of problems using generalized Hankel type integral transformation, National Workshop On Analysis, Differential Equations & Applications (Sponsored UGC, DST*, INSA*, NBHM*), NWADA-2016, 25-27, Feb 2016.

Lakshmi Gorty, V. R., 2015, The finite generalized Hankel-Clifford Transformation of fifth kind, 35th Southeastern Atlantic Regional Conference on Differential Equations Conference, SEARCDE 2015, 10 October-11 October, 2015.

Lakshmi Gorty, V. R., 2015,The two-sided Laplace generalized Hankel-Clifford transform of generalized functions, International Conference on Special Functions {& Applications, ICSFA-2015, Amity University Noida, 10 September-12 September 2015.

Lakshmi Gorty, V. R., 2014, The Finite fractional Hankel transformation, ISM Dhanbad, IMS 2014, 27 December-30 December, 2014.

Lakshmi Gorty, V. R., 2014, On the distributional finite generalized Hankel-Clifford transformation of Second kind, ICMSA 2014, New Delhi, 3rd International Conference on Mathematical Sciences and Applications, 20 December-21 December, 2014.

Lakshmi Gorty, V. R., 2014, The generalized Hankel-type wavelet transforms on certain distribution spaces, International conference on Mathematical Sciences, ICMS 2014, Tamil Nadu, Paper published online in Elsevier proceedings, 17 July-19 July 2014.

Research Projects:

1. A generalized Fractional calculus and its applications. INR 3.5 Lakhs Government of India, NATIONAL BOARD FOR HIGHER MATHEMATICS (Department of Atomic Energy). Got sanctioned in Dec 2013. Ref No. 2. Completed in Dec 2016 and report submitted in 2017.

48(11)2013/NBHM/(R.P.)/ R & D /II /979.

2. Recent advances in integral transforms to Engineering and its applications. INR 40000 SVKM's NMIMS University/Dated 3 December 2015.