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A Note on Pathway Fractional Integral Formulas Associated with the Incomplete H-Functions

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Abstract

Very recently Srivastava et al. (Russ J Math Phys 25(1):116–138, 2018) have introduced the incomplete H-functions and investigated their several interesting properties, for example, decomposition and reduction formulas, derivative formulas, and various integral transforms. They also pointed out potential applications of many of those incomplete special functions, which are specialized from the incomplete H-functions, involving (for example) probability theory. In this paper, we aim to establish two pathway fractional integral formulas involving the incomplete H-functions. Also our main results are indicated to reduce to yield some known identities. Further, among numerous special cases of our main results, some of them are explicitly demonstrated.

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Acknowledgements

The authors would like to express their deep-felt thanks for the reviewers’ valuable comments to improve this paper as it stands. The present investigation was supported, in part, by the TEQIP-III under CRS Grant 1-5730065311.

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Authors and Affiliations

  1. Department of Applied Sciences, Government Engineering College, Banswara, Rajasthan, 327001, India

    Manish Kumar Bansal

  2. Department of Mathematics, Dongguk University, Gyeongju, 38066, Republic of Korea

    Junesang Choi

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  1. Manish Kumar Bansal
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  2. Junesang Choi
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Correspondence to Manish Kumar Bansal.

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Bansal, M.K., Choi, J. A Note on Pathway Fractional Integral Formulas Associated with the Incomplete H-Functions. Int. J. Appl. Comput. Math 5, 133 (2019). https://doi.org/10.1007/s40819-019-0718-8

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  • DOI: https://doi.org/10.1007/s40819-019-0718-8

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