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SOME RESULTS ON FRACTIONAL CALCULUS OPERATORS ASSOCIATED WITH THE M-FUNCTION

机译:与M函数相关的分数阶运算符的一些结果

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The aim of this paper is to study some properties of generalized M-function introduced by Sharma and Jain [Pract. Calc. Appl. Anal. 12 (4) (2009), 449-452]. Here we establish two theorems which provides the images of this function under the generalized fractional integral operators involving Fox's H-function as kernel. Corresponding assertions in terms of Saigo, Erdelyi-Kober, Riemann-Liouville and Weyl type of fractional integrals are also presented. Some known special cases have also been mentioned in the concluding section.
机译:本文的目的是研究由Sharma和Jain引入的广义M函数的一些性质。计算应用肛门12(4)(2009),449-452]。在这里,我们建立了两个定理,这些定理在涉及Fox H函数作为核的广义分数积分算子下提供了该函数的图像。还介绍了Saigo,Erdelyi-Kober,Riemann-Liouville和Weyl型分数积分的相应断言。结论部分中还提到了一些已知的特殊情况。

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