English

On fractional $q$-extensions of some $q$-orthogonal polynomials

Classical Analysis and ODEs 2016-12-28 v1

Abstract

Fractional qq-extensions of some classical qq-orthogonal polynomials are introduced and some of the main properties of the new defined functions are given. Next, a fractional qq-difference equation of Gauss type is introduced and solved by means of power series method.

Keywords

Cite

@article{arxiv.1612.08597,
  title  = {On fractional $q$-extensions of some $q$-orthogonal polynomials},
  author = {P. Njionou Sadjang and S. Mboutngam},
  journal= {arXiv preprint arXiv:1612.08597},
  year   = {2016}
}