Dr. Khinal Parmar

Awards:

1. Awarded UGC-CSIR NET in the subject Mathematical Sciences for successful completing the examination held on 19/6/2016 with AIR-48.

Achievements:

• Dr. Khinal Parmar has established himself as a preeminent figure in academia, consistently pushing the boundaries of mathematical knowledge and innovation. Dr. Parmar has authored and co-authored a multitude of groundbreaking research papers, which have been published in prestigious national and international journals. His work not only demonstrates exceptional depth and rigor but also addresses critical challenges and opens new avenues for exploration within the mathematical community. In addition to his scholarly publications, Dr. Parmar has showcased his expertise on numerous occasions by presenting his findings at esteemed international conferences and symposiums. Dr. Parmar’s dedication to advancing mathematical research and his unwavering commitment to academic excellence serve as an inspiration to colleagues and students alike.

Publications:

1. Parmar and V. R. Lakshmi Gorty, “Quaternion Hankel Transform and its Generalization”, Sahand Communications in Mathematical Analysis, vol. 21, no. 1, pp.67-81, 2024.
2. Parmar and V. R. Lakshmi Gorty, “Two-DimensionalQuaternionic Fractional Mellin Transform of a Particular Order”, Jordan Journal of Mathematics and Statistics, vol. 16, no. 4, pp. 649-668, 2023.
3. Parmar and V. R. Lakshmi Gorty, “Quaternion Stieltjes Transform and Quaternion Laplace-Stieltjes Transform”, Communications in Mathematics and Applications, vol. 12, no. 3, pp. 633-643, 2021.
4. Parmar and V. R. Lakshmi Gorty, “Application and graphical interpretation of a new two-dimensional quaternion fractional Fourier transform”, International Journal of Analysis and Applications, vol. 19, no. 4, pp. 561-575, 2021.
5. Parmar and V. R. Lakshmi Gorty, “Generalized two-dimensional quaternionic fractional Mellin transform”, International Journal of Applied Mathematics and Statistics, vol. 60, no. 2, pp. 59-69, 2021.
6. Parmar and V. R. Lakshmi Gorty, “One-Dimensional Quaternion Mellin Transform and its applications”, Proceedings of the Jangjeon Mathematical Society, vol. 24, no. 1, pp. 99-112, 2021.
7. R. Lakshmi Gorty and K. Parmar, “Finite Laplace Transform of spherical Bessel Function”, International Journal of Research in Engineering, IT and Social Sciences, vol. 7, no. 10, pp. 33-37, 2017.
8. H. Siddiqi, K. Alam, K. Parmar, P. M. Deshpande, “Applications Of Data Mining Techniques For Fraud Detection In Credit-Debit Card Transactions”, International Journal for Scientific Research & Development, NCTAA, 2016, pp. 339-34.
9. Parmar, “Study of Henstock-Kurzweil integral”, International Journal of Mathematics Trends and Technology, vol. 19, no. 2, pp. 130-135, 2015.

Conferences:

1. Khinal Parmar, V. R. Lakshmi Gorty, A New Two-dimensional Quaternion Fractional Fourier Transform, 86^thAnnual Conference of The Indian Mathematical Society: An International Meet (IMS 2020) held on December 17-20, 2020 at School of Advanced Science, Vellore Institute of Technology, Vellore.
2. Khinal Parmar, V. R. Lakshmi Gorty, Numerical computation of finite quaternion Mellin transform using a new algorithm, 5^thInternational Conference on Advances in Computing and Data Sciences (ICACDS-2021) held on April 23-24, 2021 at MVPS’S Karmaveer Adv. Baburao Ganpatrao Thakare College of Engineering, Nashik, Maharashtra, India.

Chapters:

1. Book Chapter – Parmar and V. R. Lakshmi Gorty, “Numerical Computation of Finite Quaternion Mellin Transform Using a New Algorithm”, Advances in Computing and Data Sciences.ICACDS 2021.Edited by Mayank Singh, Vipin Tyagi, P. K. Gupta, Jan Flusser, Tuncer Ören, V. R. Sonawane (Communications in Computer and Information Science), vol. 1441, Germany : Springer, 2021, pp. 172-182. Indexing: S COPUS, Publisher: Springer.