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Certain Composition Formulae for the Fractional Integral Operators

机译:分数整体算子的某些组成式

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In this paper we establish some (presumably new) interesting expressions for the composition of some well known fractional integral operators {formula} and also derive an integral operator {formula} whose kernel involves the Fox's H- function. By suitably specializing the coefficients and the parameters in these functions we can get a large number of (new and known) interesting expressions for the composition formulae which occur rather frequently in many problems of engineering and mathematical analysis but here we can mention only those which follow as particular cases of the Srivastava et al.
机译:在本文中,我们为某些众所周知的分数积分运算符{公式}的组成建立了一些(概述新的)有趣的表达式,并且还导出了一个积分运算符{公式},其内核涉及FOX的H-Function。通过适当地专业化这些功能中的系数和参数,我们可以获得大量的(新的和已知的)有趣的表达式,用于组合式公式,其在工程和数学分析中的许多问题中发生,但在这里我们只能提到那些遵循的那些作为Srivastava等人的特殊情况。

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