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Unified Fractional Integral Formulae Involving Generalized Multiindex Bessel Function

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4th International Conference on Computational Mathematics and Engineering Sciences (CMES-2019) (CMES 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1111))

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Abstract

The aim of the present paper is to establish generalized fractional integral formulae involving generalized multiindex Bessel function \(J_{(\nu _j)_m, q}^{(\lambda _j)_m, \gamma }(z)\). Then their image formulae (Beta transform, Laplace transform and Whittaker transform) are also established. The results obtained here are quite general in nature and capable of yielding a very large number of known and (presumably) new results.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Baba Farid College, Bathinda, 151001, India

    Mehar Chand

  2. Department of Mathematics, Faculty of Sciences and Techniques, Moulay Ismail University of Meknes, 52000, Errachidia, Morocco

    Zakia Hammouch

Authors
  1. Mehar Chand
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  2. Zakia Hammouch
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Corresponding author

Correspondence to Zakia Hammouch .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Gauhati University, Guwahati, India

    Hemen Dutta

  2. FSTE, Moulay Ismail University, Meknes, Morocco

    Zakia Hammouch

  3. Department of Mathematics, Fırat University, Elâzığ Merkez, Turkey

    Hasan Bulut

  4. Faculty of Education, Department of Mathematics and Science Education, Harran University, Sanliurfa, Turkey

    Haci Mehmet Baskonus

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Chand, M., Hammouch, Z. (2020). Unified Fractional Integral Formulae Involving Generalized Multiindex Bessel Function. In: Dutta, H., Hammouch, Z., Bulut, H., Baskonus, H. (eds) 4th International Conference on Computational Mathematics and Engineering Sciences (CMES-2019). CMES 2019. Advances in Intelligent Systems and Computing, vol 1111. Springer, Cham. https://doi.org/10.1007/978-3-030-39112-6_22

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  • DOI: https://doi.org/10.1007/978-3-030-39112-6_22

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-39111-9

  • Online ISBN: 978-3-030-39112-6

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