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EXTENDED HYPERGEOMETRIC LOGARITHMIC FUNCTIONS AND ITS APPLICATION IN GENERALIZED FRACTIONAL KINETIC EQUATIONS
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An extension of the beta function that introduces the logarithmic mean is utilized here to extend hypergeometric functions such as Gauss and Kummer hypergeometric logarithmic functions. These functions encompass various well-known special functions as specific cases. This expansion is expected to be beneficial. The text explains some characteristics of the Gauss and Kummer hypergeometric logarithmic functions. Furthermore, it explores the solution of a generalized fractional kinetic equation using these newly extended functions.
World Scientific Pub Co Pte Ltd
Title: EXTENDED HYPERGEOMETRIC LOGARITHMIC FUNCTIONS AND ITS APPLICATION IN GENERALIZED FRACTIONAL KINETIC EQUATIONS
Description:
An extension of the beta function that introduces the logarithmic mean is utilized here to extend hypergeometric functions such as Gauss and Kummer hypergeometric logarithmic functions.
These functions encompass various well-known special functions as specific cases.
This expansion is expected to be beneficial.
The text explains some characteristics of the Gauss and Kummer hypergeometric logarithmic functions.
Furthermore, it explores the solution of a generalized fractional kinetic equation using these newly extended functions.
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