Composition Formulas of Bessel-Struve Kernel Function

Nisar K. S.; Mondal S. R.; Agarwal P.

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Composition Formulas of Bessel-Struve Kernel Function

机译：Bessel-Struve核函数的组成公式

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The object of this paper is to study and develop the generalized fractional calculus operators involving Appell's function 3 (center dot) due to Marichev-Saigo-Maeda. Here, we establish the generalized fractional calculus formulas involving Bessel-Struve kernel function S-alpha(lambda z), lambda,z is an element of C to obtain the results in terms of generalized Wright functions. The representations of Bessel-Struve kernel function in terms of exponential function and its relation with Bessel and Struve function are also discussed. The pathway integral representations of Bessel-Struve kernel function are also given in this study.

机译：本文的目的是研究和开发归因于Marichev-Saigo-Maeda的涉及Appell函数3（中心点）的广义分数阶算术运算符。在这里，我们建立了涉及贝塞尔-斯特鲁夫核函数S-alpha（lambda z）的广义分数阶计算公式，lambda，z是C的元素，可以根据广义Wright函数获得结果。还讨论了Bessel-Struve核函数的指数函数表示形式及其与Bessel和Struve函数的关系。本研究还给出了Bessel-Struve核函数的路径积分表示。

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《Mathematical Problems in Engineering》 |2016年第4期|9560346.1-9560346.8|共8页
作者
Nisar K. S.; Mondal S. R.; Agarwal P.;
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Prince Sattam Bin Abdulaziz Univ, Dept Math, Coll Arts & Sci, POB 54, Wadi Al Dawasir 11991, Saudi Arabia;

King Faisal Univ, Dept Math & Stat, Coll Sci, POB 400, Al Hufuf 31982, Al Ahsa, Saudi Arabia;

Anand Int Coll Engn, Dept Math, Jaipur, Rajasthan, India;

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Composition Formulas of Bessel-Struve Kernel Function

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