Geodesic
A note on extended Saigo operators and their q-analogues
The Bulletin of Irkutsk State University. Series Mathematics, Tome 51 (2025), pp. 66-81

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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. 
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K. K. Chaudhary; S. B. Rao. A note on extended Saigo operators and their q-analogues. The Bulletin of Irkutsk State University. Series Mathematics, Tome 51 (2025), pp. 66-81. http://geodesic.mathdoc.fr/item/IIGUM_2025_51_a4/