IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i11p1105-d287023.html
   My bibliography  Save this article

Finding Determinant Forms of Certain Hybrid Sheffer Sequences

Author

Listed:
  • Monairah Alansari

    (Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Mumtaz Riyasat

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India)

  • Subuhi Khan

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India)

  • Kaleem Raza Kazmi

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
    Department of Mathematics, Faculty of Science & Arts-Rabigh, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

Abstract

In this article, the integral transform is used to introduce a new family of extended hybrid Sheffer sequences via generating functions and operational rules. The determinant forms and other properties of these sequences are established using a matrix approach. The corresponding results for the extended hybrid Appell sequences are also obtained. Certain examples in terms of the members of the extended hybrid Sheffer and Appell sequences are framed. By employing operational rules, the identities involving the Lah, Stirling and Pascal matrices are derived for the aforementioned sequences.

Suggested Citation

  • Monairah Alansari & Mumtaz Riyasat & Subuhi Khan & Kaleem Raza Kazmi, 2019. "Finding Determinant Forms of Certain Hybrid Sheffer Sequences," Mathematics, MDPI, vol. 7(11), pages 1-16, November.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1105-:d:287023
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/11/1105/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/11/1105/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yuan He & Serkan Araci & Hari M. Srivastava & Mahmoud Abdel-Aty, 2018. "Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials," Mathematics, MDPI, vol. 6(12), pages 1-14, December.
    2. Pierpaolo Natalini & Paolo Emilio Ricci, 2019. "Appell-Type Functions and Chebyshev Polynomials," Mathematics, MDPI, vol. 7(8), pages 1-8, July.
    3. Subuhi Khan & Tabinda Nahid, 2018. "Determinant Forms, Difference Equations and Zeros of the q -Hermite-Appell Polynomials," Mathematics, MDPI, vol. 6(11), pages 1-16, November.
    4. Khan, Subuhi & Riyasat, Mumtaz, 2015. "Determinantal approach to certain mixed special polynomials related to Gould–Hopper polynomials," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 599-614.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Altomare, M. & Costabile, F.A., 2017. "A new determinant form of Bessel polynomials and applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 141(C), pages 16-23.
    2. Paolo Emilio Ricci & Rekha Srivastava & Diego Caratelli, 2024. "Laguerre-Type Bernoulli and Euler Numbers and Related Fractional Polynomials," Mathematics, MDPI, vol. 12(3), pages 1-16, January.
    3. Mumtaz Riyasat & Amal S. Alali & Shahid Ahmad Wani & Subuhi Khan, 2024. "On Convoluted Forms of Multivariate Legendre-Hermite Polynomials with Algebraic Matrix Based Approach," Mathematics, MDPI, vol. 12(17), pages 1-23, August.
    4. Mohammed Fadel & Maryam Salem Alatawi & Waseem Ahmad Khan, 2024. "Two-Variable q -Hermite-Based Appell Polynomials and Their Applications," Mathematics, MDPI, vol. 12(9), pages 1-17, April.

    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:11:p:1105-:d:287023. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.