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New transformations for hypergeometric functions deducible by fractional calculus

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Recently, many authors have obtained several hypergeometric identities involving hypergeometric functions of one and multi-vari\-ables such as the Appell's functions and Horn's functions. In this paper, we obtain several new transformations suitably by applying the fractional calculus operator to these hypergeometric identities, which was introduced recently by Tremblay.

Abstract

Recently, many authors have obtained several hypergeometric identities involving hypergeometric functions of one and multi-vari\-ables such as the Appell's functions and Horn's functions. In this paper, we obtain several new transformations suitably by applying the fractional calculus operator to these hypergeometric identities, which was introduced recently by Tremblay.

참고문헌 (23)

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  20. R. Tremblay, "Une contribution a la theorie de la derive frationnaire", Ph.D., pp.1974
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