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Composition Formulas of Bessel-Struve Kernel Function

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

Abstract

The object of this paper is to study and develop the generalized fractional calculus operators involving Appell’s function due to Marichev-Saigo-Maeda. Here, we establish the generalized fractional calculus formulas involving Bessel-Struve kernel function 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.

Suggested Citation

  • K. S. Nisar & S. R. Mondal & P. Agarwal, 2016. "Composition Formulas of Bessel-Struve Kernel Function," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-8, May.
    • Handle: RePEc:hin:jnlmpe:9560346
    DOI: 10.1155/2016/9560346
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    Cited by:

    1. Kiryakova, Virginia, 2017. "Fractional calculus operators of special functions? The result is well predictable!," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 2-15.
    2. Virginia Kiryakova, 2020. "Unified Approach to Fractional Calculus Images of Special Functions—A Survey," Mathematics, MDPI, vol. 8(12), pages 1-35, December.

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