English

Summation formula for generalized discrete $q$-Hermite II polynomials

Mathematical Physics 2019-05-14 v1 Classical Analysis and ODEs math.MP

Abstract

In this paper, we provide a family of generalized discrete qq-Hermite II polynomials denoted by h~n,α(x,yq)\tilde{h}_{n,\alpha}(x,y|q). An explicit relations connecting them with the qq-Laguerre and Stieltjes-Wigert polynomials are obtained. Summation formula is derived by using different analytical means on their generating functions.

Cite

@article{arxiv.1902.09994,
  title  = {Summation formula for generalized discrete $q$-Hermite II polynomials},
  author = {Sama Arjika},
  journal= {arXiv preprint arXiv:1902.09994},
  year   = {2019}
}

Comments

12 pages

R2 v1 2026-06-23T07:51:50.486Z