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On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions

机译:广义分数阶积分算子和广义高斯超几何函数

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摘要

A remarkably large number of fractional integral formulas involving the number of special functions, have been investigated by many authors. Very recently, Agarwal (National Academy Science Letters) gave some integral transform and fractional integral formulas involving theFpα,β·. In this sequel, here, we aim to establish some image formulas by applying generalized operators of the fractional integration involving Appell’s functionF3(·)due to Marichev-Saigo-Maeda. Some interesting special cases of our main results are also considered.
机译:许多作者已经研究了大量涉及特殊功能的分数阶积分公式。最近,Agarwal(美国国家科学院院刊)给出了一些涉及Fpα,β·的积分变换和分数积分公式。在本系列的续篇中,我们旨在通过应用涉及Marichev-Saigo-Maeda的涉及Appell函数F3(·)的分数积分的广义算符来建立一些图像公式。还考虑了一些主要结果有趣的特殊情况。

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