On the Properties of Special Functions on the linear-type lattices
Classical Analysis and ODEs
2014-02-06 v1
Abstract
We present a general theory for studying the difference analogues of special functions of hypergeometric type on the linear-type lattices, i.e., the solutions of the second order linear difference equation of hypergeometric type on a special kind of lattices: the linear type lattices. In particular, using the integral representation of the solutions we obtain several difference-recurrence relations for such functions. Finally, applications to -classical polynomials are given.
Keywords
Cite
@article{arxiv.1107.5898,
title = {On the Properties of Special Functions on the linear-type lattices},
author = {R. Alvarez-Nodarse and J. L. Cardoso},
journal= {arXiv preprint arXiv:1107.5898},
year = {2014}
}