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• W3087989023 abstract "This paper presents a somewhat exhaustive study on the conformable fractional Gauss hypergeometric function (CFGHF). We start by solving the conformable fractional Gauss hypergeometric equation (CFGHE) about the fractional regular singular points $x=1$ and $x=infty$. Next, various generating functions of the CFGHF are established. We also develop some differential forms for the CFGHF. Subsequently, differential operators and the contiguous relations are reported. Furthermore, we introduce the conformable fractional integral representation and the fractional Laplace transform of CFGHF. As an application, and after making a suitable change of the independent variable, we provide general solutions of some known conformable fractional differential equations, which could be written by means of the CFGHF." @default.
• W3087989023 created "2020-10-01" @default.
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• W3087989023 date "2020-09-25" @default.
• W3087989023 modified "2023-09-27" @default.
• W3087989023 title "Further study on the conformable fractional Gauss hypergeometric function" @default.
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• W3087989023 hasPublicationYear "2020" @default.
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