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Extended Riemann-Liouville type fractional derivative operator with applications

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Agarwal P., Nieto J. J., Luo M.-J.

Open Mathematics

2017

tom 15

nr 1

1667-1681

The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind. Some typical generating relations for these extended hypergeometric functions are obtained by defining the extension of the Riemann-Liouville fractional derivative operator. Their connections with elementary functions and Fox’s H-function are also presented.

Ograniczanie wyników

1 Open Mathematics

1 Agarwal P.

1 Luo M.-J.

1 Nieto J. J.

1 2017

Wyniki wyszukiwania

Extended Riemann-Liouville type fractional derivative operator with applications