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- W4313251635 abstract "AbstractIn this manuscript, we present a new definition of (k,τ)-Gauss hypergeometric matrix function and study its analytical properties, like derivative formulas and integral representations. Furthermore, as an application we establish k-fractional calculus operators for the novel matrix function. We also give some new and known results as special cases of our proposed generalization of the Wright hypergeometric matrix function.Keywords: Generalized τ−Gauss matrix functionderivative formulasintegral representationsk-Fractional calculus2020 Mathematics subject classifications: 15A1533C0533E2034A05 Disclosure statementNo potential conflict of interest was reported by the author(s).Data availability statementNo data were used to support the study.Additional informationFundingThe third author extends their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through Larg Groups [grant number R.G.P.2/144/43]." @default.
- W4313251635 created "2023-01-06" @default.
- W4313251635 creator A5010643224 @default.
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- W4313251635 date "2022-12-26" @default.
- W4313251635 modified "2023-10-06" @default.
- W4313251635 title "Investigation for the <i>k</i>-analogue of <i>τ</i>-Gauss hypergeometric matrix functions and associated fractional calculus" @default.
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- W4313251635 doi "https://doi.org/10.1080/03081087.2022.2161459" @default.
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