IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i2p206-d208543.html
   My bibliography  Save this article

Generalized Fractional Integral Operators Pertaining to the Product of Srivastava’s Polynomials and Generalized Mathieu Series

Author

Listed:
  • K.S. Nisar

    (Department of Mathematics, College of Arts & Science-Wadi Al-Dawaser, Prince Sattam Bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia)

  • D.L. Suthar

    (Department of Mathematics, Wollo University, Dessie 1145, Ethiopia)

  • M. Bohra

    (Department of Mathematics, Govt. Mahila Engg. College, Ajmer 305001, India)

  • S.D. Purohit

    (Department of HEAS (Mathematics), Rajasthan Technical University, Kota 324010, India)

Abstract

Fractional calculus image formulas involving various special functions are important for evaluation of generalized integrals and to obtain the solution of differential and integral equations. In this paper, the Saigo’s fractional integral operators involving hypergeometric function in the kernel are applied to the product of Srivastava’s polynomials and the generalized Mathieu series, containing the factor x λ ( x k + c k ) − ρ in its argument. The results are expressed in terms of the generalized hypergeometric function and Hadamard product of the generalized Mathieu series. Corresponding special cases related to the Riemann–Liouville and Erdélyi–Kober fractional integral operators are also considered.

Suggested Citation

  • K.S. Nisar & D.L. Suthar & M. Bohra & S.D. Purohit, 2019. "Generalized Fractional Integral Operators Pertaining to the Product of Srivastava’s Polynomials and Generalized Mathieu Series," Mathematics, MDPI, vol. 7(2), pages 1-8, February.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:206-:d:208543
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/2/206/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/2/206/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:206-:d:208543. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.