Fractional generalization of Rodrigues-type Formulas for Certain Class of Special Functions

Authors

  • Maged Gumman Bin-Saad Aden University, Aden, Department of Math Yemen

Keywords:

RiemannLiouville fractional differentiation and integration operators, Rodrigues formula, Laguerre, Hermite and Bessel polynomials .

Abstract

This paper refers to some generalizations of certain classical Rodrigues formulas.By means of the Riemann - Liouville operator of fractional calculus Rodrigues-typerepresentation formulas of fractional order are derived and some of their properties aregiven and compared with the corresponding properties of known cases

Author Biography

  • Maged Gumman Bin-Saad, Aden University, Aden, Department of Math Yemen
    Department of Mathematics, Special functions

Downloads

Published

2015-04-30

Issue

Vol. 8 No. 2: (April 2015)

Section

Mathematical Analysis

License

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Fractional generalization of Rodrigues-type Formulas for Certain Class of Special Functions. (2015). European Journal of Pure and Applied Mathematics, 8(2), 271-282. https://www.ejpam.com/index.php/ejpam/article/view/2293