English

Recursion formulas of q-Appell functions

Combinatorics 2018-05-09 v1

Abstract

Recently, Opps, Saad and Srivastava gave the recursion formulas of Appell's function F2. The first author of this paper then established the recursion formulas for Appell functions F1, F2, F3 and F4 by the contiguous relations of hypergeometric series. In this paper, the authors will present the recursion formulas for q-Appell functions Φ(1),Φ(2),Φ(3)\Phi^{(1)}, \Phi^{(2)}, \Phi^{(3)} and Φ(4)\Phi^{(4)} as the q-analogies of F1, F2, F3 and F4's relations.

Keywords

Cite

@article{arxiv.1805.02864,
  title  = {Recursion formulas of q-Appell functions},
  author = {Xiaoxia Wang and Wei Chuanan},
  journal= {arXiv preprint arXiv:1805.02864},
  year   = {2018}
}
R2 v1 2026-06-23T01:48:02.153Z