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«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2025. Vol 51

A Note on Extended Saigo Operators and Their q-analogues

Author(s)
Kuldipkumar K. Chaudhary1, Snehal B. Rao1

1The Maharaja Sayajirao University of Baroda, Vadodara, Gujarat, India

Abstract
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.
About the Authors

Kuldipkumar K. Chaudhary, Research Scholar, The Maharaja Sayajirao University of Baroda, Vadodara, 390001, Gujarat, India, kuldip.cappmathphd@msubaroda.ac.in

Snehal B. Rao, Asst. Prof., The Maharaja Sayajirao University of Baroda, Vadodara, 390001, Gujarat, India, snehal.b.raoappmath@msubaroda.ac.in

For citation

Chaudhary K. K., Rao S. B. A Note on Extended Saigo Operators and Their q-analogues. The Bulletin of Irkutsk State University. Series Mathematics, 2025, vol. 51, pp. 66–81.

https://doi.org/10.26516/1997-7670.2025.51.66

Keywords
integral operators, generalized hypergeometric series, q-gamma functions, q-beta functions and integrals, q-calculus and related topics
UDC
517.43
MSC
45P05, 33C20, 33D05, 05A30
DOI
https://doi.org/10.26516/1997-7670.2025.51.66
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