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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
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Pierpaolo Natalini & Paolo Emilio Ricci, 2019. "Appell-Type Functions and Chebyshev Polynomials," Mathematics, MDPI, vol. 7(8), pages 1-8, July.
    4. 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.
    Full references (including those not matched with items on IDEAS)

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