article · Kragujevac Journal of Mathematics · 2026
Fractional Calculus Pertaining to Multivariable I-Function
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Abstract
In this paper, we study and investigate unified and extended fractional integral operator involving the multivariable I-function defined by Prasad, Raizada’s generalized polynomial set and general class of multivariable polynomials. During the present study, we derive five theorems pertaining to Mellin transforms of these operators. Furthermore, on account of the general nature of the functions involved herein, many known and (presumably) new fractional integral operators involved simpler functions can be obtained. We also give the special case concerning the multivariable H-function.
Cite this paper
Kumar, D., & Ayant, F. (2026). Fractional Calculus Pertaining to Multivariable I-Function. Kragujevac Journal of Mathematics, 50(7), 1149. https://doi.org/10.46793/kgjmat2607.1149k
Kumar, Dinesh, and Frédéric Ayant. “Fractional Calculus Pertaining to Multivariable I-Function.” Kragujevac Journal of Mathematics, vol. 50, no. 7, 2026, p. 1149, https://doi.org/10.46793/kgjmat2607.1149k.
Kumar, Dinesh, and Frédéric Ayant. 2026. “Fractional Calculus Pertaining to Multivariable I-Function.” Kragujevac Journal of Mathematics 50 (7): 1149. https://doi.org/10.46793/kgjmat2607.1149k.
Kumar, D. and Ayant, F. (2026) ‘Fractional Calculus Pertaining to Multivariable I-Function’, Kragujevac Journal of Mathematics, 50(7), p. 1149. Available at: https://doi.org/10.46793/kgjmat2607.1149k.
@article{kumar2026fractional,
title = {{Fractional Calculus Pertaining to Multivariable I-Function}},
author = {Kumar, Dinesh and Ayant, Frédéric},
journal = {Kragujevac Journal of Mathematics},
volume = {50},
number = {7},
pages = {1149},
year = {2026},
doi = {10.46793/kgjmat2607.1149k}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.