On integral representations of q-difference operators and their applications

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Authors: Antonio Cáceres, Alberto Lastra, Sławomir Michalik, Maria Suwińska
Cited by: 0
References: 33

Abstract

Abstract Integral representations of two q -difference operators are provided in terms of special functions arising in the theory of asymptotic solutions to q -difference equations in the complex domain. Both representations are unified through the so-called ( p , q )-differential operator, for which a kernel-like function is provided, generating the sequence of ( p , q )-factorials.

Fields of Study & Subjects

Approximation Theory and Sequence Spaces Holomorphic and Operator Theory graph theory and CDMA systems

Publication details

Journal / source
Mathematische Annalen
Volume
394
Issue
1
Publication date
1 January 2026
Language
EN