Affiliation:
1. KIRSEHIR AHI EVRAN UNIVERSITY
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.
Publisher
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Reference33 articles.
1. Abubakar, U. M., A study of extended beta and associated functions connected to Fox-Wright function, J. Frac. Calc. Appl., 12(3)(13) (2021), 1-23.
2. Agarwal, R. P., Luo, M. J., Agarwal, P., On the extended Appell-Lauricella hypergeometric functions and their applications, Filomat, 31(12) (2017), 3693-3713. https://doi.org/10.2298/FIL1712693A
3. Agarwal, P., Agarwal, R. P., Ruzhansky, M., Special Functions and Analysis of Differential Equations, Chapman and Hall/CRC, New York, 2020.
4. Andrews, G. E., Askey, R., Roy, R., Special Functions, Cambridge Univ. Press, Cambridge, 1999. https://doi.org/10.1017/CBO9781107325937
5. Ata, E., Kıymaz, İ. O., Generalized gamma, beta and hypergeometric functions defined by Wright function and applications to fractional differential equations, Cumhuriyet Sci. J., 43(4) (2022), 684-695. https://doi.org/10.17776/csj.1005486
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