Dr. V.R. Lakshmi Gorty

• Nitu Gupta: awarded Ph.D. on 5th April 2022.  
• Khinal Kamlesh Parmar: awarded Ph.D. on 6th May 2022.  

• Shabnam Jahan Ansari: Integral transforms awarded Ph.D. on 22nd April 2025. 

• Shilpa D’Cunha: Integral transforms awarded Ph.D. on 22nd April 2025. 

• Yashonanda Maurya: Integral transforms (2020 RRC (Topic approval)) 

• Pratibha Sharma: Integral Transforms (2024 RRC (Topic approval)) 

• Aayesha Ansari: Integral transforms (Enrolled in 2024-25) 

Awards:

1. Received an Open Arms travel grant to attend ICM 2018, August 1st to 9th 2018, Brazil, Rio de Janeiro, from the host of the International Congress of Mathematicians (ICM 2018), Riocentro convention center.  
2. Invited for “The International Mathematical Union Committee for Women in Mathematics (CWM)”} offered free registration at the World Meeting for Women in Mathematics. For the program of the first World Meeting for Women in Mathematics (WM)² on July 2018, Rio de Janeiro. 
3. Accenture felicitated as a women achiever, March 2018 for the contributions and achievements in academic, curricular and other activities.  
4. NMIMS has appreciated the achievements and motivated with incentives encouraging for future research contributions April 2016-April 2017. 
5. Best Scientist/ Researcher Award: IMRF Academic Excellence Award under the category of subject Mathematics on March 2017 in support of UNESCO 70th Anniversary Celebrations, at Panjifond, Margao, Goa, India.  
6. Awarded Outstanding Scientist Award: in December 2015, VIFRA 2015 Chennai. 
7. Recipient of Bharat Jyoti Award: Certificate of Excellence, awarded by India International Friendship Society April 2015, New Delhi.  

Seminars and workshops:  

• More than 30 organized/ attended Workshops/Seminars/Webinars (International/National) 

Professional Memberships:  

• IAIAM 2001, ISTE LM-52239, INS LM -6172-E-2075, IAENG LM-63171, IMS LM-G-11-106, IAM LM-277, LM-9/2015, ISCA LM-2018- L35467. 

 

FDP-Faculty development Program attended: NPTEL/Coursera/ Udemy courses etc.  

• Completed 33 from 2020-2024.  

FDP-Faculty development Program created and published: NPTEL/ Coursera/ Udemy courses etc. 

• Merge Learning: Matrices to Numerical Methods using Excel, Published October 2021.  

Research funding and achievements:   

1. A generalized Fractional calculus and its applications. Government of India, NBHM (Department of Atomic Energy).  Dec 2013-2016. 
2. Recent advances in integral transforms to Engineering and its applications. SVKM’s NMIMS University, December 2015. 

Consultancy: Calculation of Sessile & Captive Drop-method as well as shape of pendant drops by MATLAB, 2013-14.  

 

Publications:   

2025 (January-December) 

1. Shilpa D’ Cunha and V. R. Lakshmi Gorty, 2025. Non-linear models: Analysis of anomalous drug diffusion, Engineering Letters, vol. 33, no. 2, pp. 236–246, 2025. IAENG International Journal of Applied Mathematics.  

2024 (January-December) 

1. Shabnam Jahan Ansari and V. R. Lakshmi Gorty, 2024. Clifford fractional Mellin Clifford transform in Cl(3,1) with graphical interpretation, vol. 13, no. 4, pp. 873–888, 2024. Palestine Journal of Mathematics.  
2. V. R. Lakshmi Gorty and Nitu Gupta, 2024. Finite continuous Radon transforms with applications, International Journal of Applied Mathematics and Statistics, vol. 62, Year 2023 (Published on 01 August 2024). ISSN 0973-1377 (Print), ISSN 0973-7545 (Online).  
3. Shabnam Jahan Ansari and V. R. Lakshmi Gorty, 2024. Analysis of Clifford-wavelet transform in Cl(3,1), South East Asian Journal of Mathematics and Mathematical Sciences, vol. 20, no. 2, pp. 299–322, August 2024. Ramanujan Society of Mathematics and Mathematical Sciences.  
4. Shilpa D’ Cunha and V. R. Lakshmi Gorty, 2024. Analysis of non-commensurate model of Diclofenac concentration in the plasma to enhance drug delivery system, vol. 11, no. 6, 2024. Mathematical Modelling of Engineering Problems (MMEP).  
5. Khinal Parmar and V. R. Lakshmi Gorty, 2024. Quaternion Hankel Transform and its generalization, Sahand Communications in Mathematical Analysis, vol. 21, no. 1, January 2024, pp. 67–81. Sahand Commun. Math. Anal.  

2023 (January-December) 

1. V. R. Lakshmi Gorty and Khinal Parmar, 2022. Two dimensional quaternionic fractional Mellin transform of a particular order, 16 (4) (2023), pp. 649 – 668. Jordan J. Math & Stat.  
2. Nitu Gupta and V. R. Lakshmi Gorty, 2023. Analysis of generalized finite continuous ridgelet transforms with simply supported rectangular kirchhoff plates, vol.30 (2), pages: 117 – 134. Advances in Differential Equations and Control Processes.  

2021 (January-December) 

1. Khinal Parmar and V. R. Lakshmi Gorty, 2021. Quaternion Stieltjes Transform and Quaternion Laplace-Stieltjes Transform, Communications in Mathematics and Applications. 
2. Khinal Parmar and V. R. Lakshmi Gorty, 2021. Application and graphical interpretation of a new two-dimensional quaternion fractional Fourier transform, International Journal of Analysis and Applications. 
3. V. R. Lakshmi Gorty, Nitu Gupta, 2021. Bending of fully clamped orthotropic rectangular thin plates using finite continuous Ridgelet transform, Elsevier’s Materials Today: Proceedings.  
4. V. R. Lakshmi Gorty, Nitu Gupta, 2021. Vibration of a Rectangular Plate Using Finite Continuous Radon Transform, Elsevier’s Materials Today: Proceedings. 
5. Khinal Parmar and V. R. Lakshmi Gorty, 2021. Generalized two-dimensional quaternionic fractional Mellin transform, International Journal of Applied Mathematics and Statistics. 
6. Khinal Parmar and V. R. Lakshmi Gorty, 2021. One-dimensional quaternion Mellin transforms and its applications, Proceedings of the Jangjeon Mathematical Society. 

2020 (January-December) 

1. V. R. Lakshmi Gorty and Nitu Gupta, 2020. On distributional finite continuous Radon transforms in certain spaces, AIMS Mathematics.  
2. V. R. Lakshmi Gorty and Nitu Gupta, 2020. Finite continuous Ridgelet transforms with applications to telegraph and heat conduction, Advances in Dynamical Systems and Applications.  

Conference Publications: 

2025 (January-December) 

1. Yashonanda Maurya and V. R. Lakshmi Gorty, 2025. Borel-Padé Approximant in Quantum Field Theory using Hankel Transform and Meijer-G Resummation, International Conference on Frontiers of High Energy Physics (ICFHEP), 1st international conference from IIT Bhilai in the field of high-energy physics, 13th February 2025 to 15th February 2025. https://indico.global/event/8303/ (International Conference) 
2. Manthan Singh, Kshitij Rane, Aditi Agarwal and V. R. Lakshmi Gorty, 2025. Comparative Analysis of Decomposition Methods for Multimedia Inputs Compression, IEEE NMIMS MPSTME, Technical Paper Competition, 12 April 2025. (International Conference) 
3. Jash Vakharia, Hitarth Vasa, Jaival Thakkar, Keya Kala, Bhoomi Kothari and V. R. Lakshmi Gorty, 2025. Matrix Compression using DCT, IESES 2025, the 4th IEEE International Conference on Industrial Electronics for Sustainable Energy Systems, accepted to be held 22nd-24th September 2025. https://attend.ieee.org/ieses-2025/ (International Conference) 
4. Aabha Karla, 2025. Applications of Matrix theory in Wireless Communication and Signal Processing, IMSSRS-2025, The 3rd International Mathematics and Statistics Student Research Symposium, 11th April 2025. (International Conference) 

2023 (January-December) 

1. V. R. Lakshmi Gorty, 2023. Inversion theorem of finite generalized Hankel-Clifford transform solving distributional differential equations, AMSCO2K23 (Eighth Online International Conference on Ancient Mathematics and Science for Computing), December 22-23, 2023. 
2. Yashonanda Maurya and V. R. Lakshmi Gorty, 2023. Finite Meijer G-transform for solving steady-state temperature problems, 38th Annual Conference of Ramanujan Mathematical Society, IIT Guwahati, December 22-24, 2023. https://event.iitg.ac.in/rms2023/index.php (International Conference) 
3. Pratibha Sharma and V. R. Lakshmi Gorty, 2023. Perspective of Quaternion Algebra in Quantum Mechanics: Quaternion inverse Gaussian Distribution, International Conference on Applied Mathematics and Mechanics (ICAMM-2023) at IIT Indore, India, October 18-20, 2023. https://icamm.iiti.ac.in/ (International Conference) 
4. Shabnam Ansari and V. R. Lakshmi Gorty, 2023. Clifford wavelet function and Mellin transform in Clifford algebra Cl(3,1) with interpretation in quantum mechanics, International Conference on Applied Mathematics and Mechanics (ICAMM-2023) at IIT Indore, India, October 18-20, 2023. https://icamm.iiti.ac.in/ (International Conference) 
5. V. R. Lakshmi Gorty, Shilpa D’Cunha, 2023. Analysis of ADM solution for non-commensurate model in anomalous drug diffusion, 4th International Conference on Materials, Manufacturing and Modelling (ICMMM2023), March 24-26, 2023. http://icmmm-vit.com/ (International Conference) 
6. V. R. Lakshmi Gorty, Suhani Gandhi, Prajakta Mungekar, Nikita Melam, Dev Mahey, 2023. Image Encryption and Decryption using Conformal Mapping, 4th International Conference on Materials, Manufacturing and Modelling (ICMMM2023), March 24-26, 2023. http://icmmm-vit.com/ (International Conference) 

2022 (January-December) 

1. Shabnam J. Ansari and V. R. Lakshmi Gorty, 2022. Two-sided Clifford wavelet function in Cl(p,q), The 7th International Arab Conference on Mathematics and Computations (IACMC2022), May 11-13, 2022, Zarqa University, Jordan. https://iacmc.zu.edu.jo/ (International Conference) 
2. Shilpa D’Cunha and V. R. Lakshmi Gorty, 2022. Drug level modelling with difference and differential equations, 12th International Conference on Applied Physics and Mathematics (ICAPM 2022), Singapore, February 18-20, 2022. http://www.icapm.org/ (International Conference) 

2021 (January-December) 

1. Nitu Gupta and V. R. Lakshmi Gorty, 2020. Bending of fully clamped orthotropic rectangular thin plates using finite continuous Ridgelet transform, FRESM’21, April 23-24, 2021. https://www.materialstoday.com/electronic-properties/events/international-conference-on-futuristic-fresm21/ (International Conference) 
2. Khinal Parmar and V. R. Lakshmi Gorty, 2020. Numerical computation of finite quaternion Mellin transform using a new algorithm, ICACDS 2021, April 23-24, 2021. https://icacds.com/ (International Conference) 
3. V. R. Lakshmi Gorty, Nitu Gupta, 2020. Vibration of a Rectangular Plate Using Finite Continuous Radon Transform, Elsevier’s Materials Today: Proceedings, ICMMM-2021, March 19-21, 2021. http://www.icmmm-vit.com/ (International Conference) 

2020 (January-December) 

1. Syed Papiya and V. R. Lakshmi Gorty, 2020. Fractional Fourier transforms with the flip operator, 86th Annual Conference of the Indian Mathematical Society (IMS), December 17-20, 2020. https://indianmathsoc.org/ (International Conference) 
2. Collaborated with Khinal Parmar for Prize, 2020. A new two-dimensional quaternion fractional Fourier transform, 86th Annual Conference of the Indian Mathematical Society (IMS), December 17-20, 2020. http://www.indianmathsociety.org.in/ (International Conference) 

 

Books/chapters Published:  

1. Pratibha Sharma and V. R. Lakshmi Gorty, 2025. Perspective of Quaternion Algebra in Quantum Mechanics: Quaternion inverse Gaussian distribution, Springer Nature Proceedings as a book chapter accepted on 13 May 2025. 
2. Dr. Minirani S and Dr. V. R. Lakshmi Gorty, Editors for Mathematics in Action: Exploring Modeling, Transforms, Probability and Data Analysis, April 2024, Published by: Gaurang Publishing Globalize Private Limited, CIN No. U22130MH2016PTC287238, https://upload.nmims.edu/naac/naac%202024/C3/3.4.5/948_3.4.5-Mathematics%20in%20Action-MPSTME%20Book.pdf 
3. Shabnam J. Ansari and V. R. Lakshmi Gorty, 2023. Two-sided Clifford wavelet function in Cl(p,q), Part of the book series: Springer Proceedings in Mathematics & Statistics, Mathematics and Computation, (PROMS, vol. 418), First Online: 30 May 2023, pp 291–302. 
4. V. R. Lakshmi Gorty, Shilpa D’Cunha, 2023. Drug Level Modelling with Difference and Differential Equations, IOP Publishing Ltd, Journal of Physics: Conference Series, vol. 2287, Phys.: Conf. Ser. 2287 012011. https://iopscience.iop.org/article/10.1088/1742-6596/2287/1/012011 
5. Nitu Gupta and V. R. Lakshmi Gorty, 2022. Generalized Finite Continuous Ridgelet Transform; Algebra, Analysis and associated topics, Springer, Trends in Mathematics, https://doi.org/10.1007/978-3-031-19082-7_15, Published: 20 September 2022, Publisher Name: Birkhäuser Cham, Print ISBN: 978-3-031-19081-0, Online ISBN: 978-3-031-19082-7. 
6. Khinal Parmar and V. R. Lakshmi Gorty, 2021. Numerical Computation of Finite Quaternion Mellin Transform Using a New Algorithm; Communications in Computer and Information Science, 24 October 2021. https://link.springer.com/chapter/10.1007/978-3-030-88244-0_17. 
7. Authored (Collaborative with Prof. Satish Barot) book through Mobile app ‘SEAM Tool’ for Mathematics II of SVKM’s NMIMS University, MPSTME in February 2020. 
8. 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.  
9. Compiled in collaboration with IEEE X-plore digital library, 2013. 
10. Compiled as an editor of Springer-Verlag, Communications in Computer and Information Science, volume 145, TSM, 2011, ISBN: 978-3-642-20209-4. 
11. Author of Advanced Engineering Mathematics, Ane Books, Vol. I, ISBN-8180522431, 2009.