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Fourier transform and distributional representation of the gamma function leading to some new identities

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  • M. Aslam Chaudhry
  • Asghar Qadir

Abstract

We present a Fourier transform representation of the gamma functions, which leads naturally to a distributional representation for them. Both of these representations lead to new identities for the integrals of gamma functions multiplied by other functions, which are also presented here.

Suggested Citation

  • M. Aslam Chaudhry & Asghar Qadir, 2004. "Fourier transform and distributional representation of the gamma function leading to some new identities," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:912542
    DOI: 10.1155/S016117120430743X
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    Cited by:

    1. Asifa Tassaddiq, 2019. "A New Representation of the k-Gamma Functions," Mathematics, MDPI, vol. 7(2), pages 1-13, February.
    2. 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.
    3. Asifa Tassaddiq, 2020. "A New Representation of the Generalized Krätzel Function," Mathematics, MDPI, vol. 8(11), pages 1-17, November.
    4. Asifa Tassaddiq & Rekha Srivastava & Ruhaila Md Kasmani & Dalal Khalid Almutairi, 2023. "Distributional Representation of a Special Fox–Wright Function with an Application," Mathematics, MDPI, vol. 11(15), pages 1-20, August.

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