English

On a class of Rainville type generating functions for classical orthogonal polynomials

Classical Analysis and ODEs 2024-12-02 v2 Functional Analysis

Abstract

The aim of this work is to characterize all generating functions of the form A(t)F(xtA(t)R(t))A(t)F(xtA(t)-R(t)) for the classical orthogonal polynomials. Further generating functions are also provided by derivation.

Cite

@article{arxiv.2409.16034,
  title  = {On a class of Rainville type generating functions for classical orthogonal polynomials},
  author = {Mohammed Brahim Zahaf and Mohammed Mesk},
  journal= {arXiv preprint arXiv:2409.16034},
  year   = {2024}
}
R2 v1 2026-06-28T18:55:15.361Z