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Bulletin of Irkutsk State University. Series Mathematics, 2025, Volume 51, Pages 66–81
DOI: https://doi.org/10.26516/1997-7670.2025.51.66 (Mi iigum597) 		 
Integro-differential equations and functional analysis

A note on extended Saigo operators and their q-analogues

K. K. Chaudhary, S. B. Rao

The Maharaja Sayajirao University of Baroda, Vadodara, Gujarat, India
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DOI: https://doi.org/10.26516/1997-7670.2025.51.66
Abstract: Megumi Saigo derived generalized fractional operators, involving Gauss hypergeometric function, having four special cases: Riemann-Liouville, Weyl, Erdély-Kober 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.
Keywords: integral operators, generalized hypergeometric series, q-gamma functions, q-beta functions and integrals, q-calculus and related topics.
Funding agency Grant number
Department of Science and Technology, India DST/INSPIRE Fellowship/2022/IF220147
Kuldipkumar K. Chaudhary is highly appreciative to the Government of India, Ministry of Science and Technology, Department of Science and Technology (DST) for the INSPIRE Fellowship Award (DST/INSPIRE Fellowship/2022/IF220147).
Received: 02.06.2024
Revised: 20.08.2024
Accepted: 21.08.2024
Document Type: Article
UDC: 517.43
MSC: 45P05, 33C20, 33D05, 05A30
Language: English
Citation: K. K. Chaudhary, S. B. Rao, “A note on extended Saigo operators and their q-analogues”, Bulletin of Irkutsk State University. Series Mathematics, 51 (2025), 66–81
Citation in format AMSBIB
\Bibitem{ChaRao25}
\by K.~K.~Chaudhary, S.~B.~Rao
\paper A note on extended Saigo operators and their q-analogues
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2025
\vol 51
\pages 66--81
\mathnet{http://mi.mathnet.ru/iigum597}
\crossref{https://doi.org/10.26516/1997-7670.2025.51.66}
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