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Some integral transforms and fractional integral formulas for the extended hypergeometric functions

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Integral transforms and fractional integral formulas involving well-known special functions are interesting in themselves and play important roles in their diverse applications. A large number of integral transforms and fractional integral formulas have been established by many authors. In this paper, we aim at establishing some (presumably) new integral transforms and fractional integral formulas for the generalized hypergeometric type function which has recently been introduced by Luo \emph{et al.} \cite{Lu-Mi-Ag}. Some interesting special cases of our main results are also considered.

Abstract

Integral transforms and fractional integral formulas involving well-known special functions are interesting in themselves and play important roles in their diverse applications. A large number of integral transforms and fractional integral formulas have been established by many authors. In this paper, we aim at establishing some (presumably) new integral transforms and fractional integral formulas for the generalized hypergeometric type function which has recently been introduced by Luo \emph{et al.} \cite{Lu-Mi-Ag}. Some interesting special cases of our main results are also considered.

참고문헌 (17)

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  8. 이동명, "GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS", 호남수학학술지, 33(2), pp.187~206 (2011), 호남수학회
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