On integral representations of $q$-difference operators and their applications
Complex Variables
2026-03-27 v1 Analysis of PDEs
Classical Analysis and ODEs
Abstract
Integral representations of two -difference operators are provided in terms of special functions arising in the theory of asymptotic solutions to -difference equations in the complex domain. Both representations are unified through the so-called -differential operator, for which a kernel-like function is provided, generating the sequence of -factorials.
Cite
@article{arxiv.2412.10938,
title = {On integral representations of $q$-difference operators and their applications},
author = {Antonio Cáceres and Alberto Lastra and Sławomir Michalik and Maria Suwińska},
journal= {arXiv preprint arXiv:2412.10938},
year = {2026}
}
Comments
21 pages