English

Generalized fractional operator representations of Jacobi type orthogonal polynomials

Classical Analysis and ODEs 2017-09-26 v1

Abstract

The aim of this paper is to apply generalized operators of fractional integration and differentiation involving Appell's function F3(:)F_{3}(:) due to Marichev-Saigo-Maeda (MSM), to the Jacobi type orthogonal polynomials. The results are expressed in terms of generalized hypergeometric function. Some of the interesting special cases of the main results also established.

Keywords

Cite

@article{arxiv.1709.08324,
  title  = {Generalized fractional operator representations of Jacobi type orthogonal polynomials},
  author = {K. S. Nisar},
  journal= {arXiv preprint arXiv:1709.08324},
  year   = {2017}
}
R2 v1 2026-06-22T21:53:23.467Z