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Expansion formulas for a class of function related to incomplete Fox–Wright function

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Abstract

Our aim in the present paper is to present some properties involving a new class of function related to the incomplete Fox–Wright function More precisely, we derive some various properties such as differentiation formulas with respect the parameters, and fractional integration formula in terms of a class of function related to the Fox–Wright function. As applications, new summation formula containing the incomplete gamma function in terms of some special functions. In particular, new identities for some class of functions related to the Fox–Wright functions in terms of the complementary error function are established.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Sfax, Tunisia

    Sana Mehrez

  2. Department of Mathematics, IPEIK, Kairouan University, Kairouan, Tunisia

    Mohsen Miraoui

  3. LR/11/ES-53, Sfax University, Sfax, Tunisia

    Sana Mehrez & Mohsen Miraoui

  4. Department of Mathematics, Anand International College of Engineering, Jaipur, 303012, India

    Praveen Agarwal

Authors
  1. Sana Mehrez
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  2. Mohsen Miraoui
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  3. Praveen Agarwal
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Correspondence to Sana Mehrez.

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Mehrez, S., Miraoui, M. & Agarwal, P. Expansion formulas for a class of function related to incomplete Fox–Wright function. Bol. Soc. Mat. Mex. 30, 22 (2024). https://doi.org/10.1007/s40590-024-00596-6

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  • DOI: https://doi.org/10.1007/s40590-024-00596-6

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