A Note on Extended Saigo Operators and Their q-analogues

Megumi Saigo derived generalized fractional operators, involving Gauss hypergeometric function, having four special cases: Riemann-Liouville, Weyl, Erd´elyKober left and right sided fractional operators. Mridula Garg and Lata Chanchalani established q-analogues of Saigo fractional integral operators...

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Bibliographic Details
Published in:Известия Иркутского государственного университета: Серия "Математика"
Main Authors: K. K. Chaudhary, S. B. Rao
Format: Article
Language:English
Published: Irkutsk State University 2025-03-01
Subjects:
integral operators
generalized hypergeometric series
q-gamma functions
q-beta functions and integrals
q-calculus and related topics
Online Access:http://mathizv.isu.ru/en/article/file?id=1522
Description
Summary:Megumi Saigo derived generalized fractional operators, involving Gauss hypergeometric function, having four special cases: Riemann-Liouville, Weyl, Erd´elyKober left and right sided fractional operators. Mridula Garg and Lata Chanchalani established q-analogues of Saigo fractional integral operators. Building upon this base, the current article aims to generalize Saigo integral operators as well their q-analogues. In addition, we obtain some new results involving extended Saigo integral operators and their q-extensions.
ISSN:1997-7670
2541-8785

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