On Some Properties of Legendre Polynomial, Using Fractional Calculus


Abstract views: 104 / PDF downloads: 35

Authors

  • Pankaj Kumar Shukla Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya, Uttar Pradesh, India
  • S. K. Raizada Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya, Uttar Pradesh, India

Keywords:

Gamma function, Beta function, Riemann - Liouville fractional derivative, hypergeometric functions, Fox H- function, generating functions, Legendre polynomial.

Abstract

The main aim of the present paper is to apply the extended Riemann Liouville fractional derivative operator for finding some linear generating relations for Legendre polynomial. Four main results are obtained, which are presented in the form of four theorems.

Downloads

Published

14-07-2025

How to Cite

Pankaj Kumar Shukla, & S. K. Raizada. (2025). On Some Properties of Legendre Polynomial, Using Fractional Calculus. International Journal of Mathematics And Its Applications, 13(2), 183–191. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1559

Issue

Vol. 13 No. 2 (2025)

Section

Research Article

License

Copyright (c) 2025 International Journal of Mathematics And its Applications

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.