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Fourier transform representation of the generalized hypergeometric functions with applications to the confluent and Gauss hypergeometric functions

Author

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  • Al-Lail, Mohammed H.
  • Qadir, Asghar

Abstract

We present a Fourier transform representation of the generalized hypergeometric functions. We then use this representation to evaluate integrals of products of two generalized hypergeometric functions. A number of integral identities for confluent and Gauss hypergeometric functions are presented. The results for Euler’s gamma function are deduced as special cases.

Suggested Citation

  • Al-Lail, Mohammed H. & Qadir, Asghar, 2015. "Fourier transform representation of the generalized hypergeometric functions with applications to the confluent and Gauss hypergeometric functions," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 392-397.
    • Handle: RePEc:eee:apmaco:v:263:y:2015:i:c:p:392-397
    DOI: 10.1016/j.amc.2015.04.083
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    Cited by:

    1. Asifa Tassaddiq & Rekha Srivastava, 2023. "New Results Involving the Generalized Krätzel Function with Application to the Fractional Kinetic Equations," Mathematics, MDPI, vol. 11(4), pages 1-17, February.
    2. Asifa Tassaddiq, 2020. "A New Representation of the Generalized Krätzel Function," Mathematics, MDPI, vol. 8(11), pages 1-17, November.
    3. Asifa Tassaddiq, 2019. "A New Representation of the k-Gamma Functions," Mathematics, MDPI, vol. 7(2), pages 1-13, February.

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