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M-Lauricella hypergeometric functions: integral representations and solutions of fractional differential equations
2023
Journal:  
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Author:  
DOI:  
10.31801/cfsuasmas.1144644
Abstract:

In this paper, using the modified beta function involving the generalized M-series in its kernel, we described new extensions for the Lauricella hypergeometric functions $F_{A}^{(r)}$, $F_{B}^{(r)}$, $F_{C}^{(r)}$ and $F_{D}^{(r)}$. Furthermore, we obtained various integral representations for the newly defined extended Lauricella hypergeometric functions. Then, we obtained solution of fractional differential equations involving new extensions of Lauricella hypergeometric functions, as examples.

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2023
Journal:  
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Author:  
DOI:  
10.31801/cfsuasmas.1144644
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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Journal Type :   Ulusal

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Article : 1.028
Cite : 282
2023 Impact : 0.025
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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics