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A New Version of the Generalized Krätzel–Fox Integral Operators

Author

Listed:
  • Shrideh K. Q. Al-Omari

    (Department of Physics and Basic Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman 11134, Jordan)

  • Ghalib Jumah

    (Department of Physics and Basic Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman 11134, Jordan)

  • Jafar Al-Omari

    (Department of Physics and Basic Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman 11134, Jordan)

  • Deepali Saxena

    (Department of Mathematics, University of Jizan, Jizan 45142, Saudi Arabia)

Abstract

This article deals with some variants of Krätzel integral operators involving Fox’s H -function and their extension to classes of distributions and spaces of Boehmians. For real numbers a and b > 0 , the Fréchet space H a , b of testing functions has been identified as a subspace of certain Boehmian spaces. To establish the Boehmian spaces, two convolution products and some related axioms are established. The generalized variant of the cited Krätzel-Fox integral operator is well defined and is the operator between the Boehmian spaces. A generalized convolution theorem has also been given.

Suggested Citation

  • Shrideh K. Q. Al-Omari & Ghalib Jumah & Jafar Al-Omari & Deepali Saxena, 2018. "A New Version of the Generalized Krätzel–Fox Integral Operators," Mathematics, MDPI, vol. 6(11), pages 1-8, October.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:222-:d:178848
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    References listed on IDEAS

    as
    1. G. L. N. Rao & L. Debnath, 1985. "A generalized Meijer transformation," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 8, pages 1-7, January.
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