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Determinantal approach to certain mixed special polynomials related to Gould–Hopper polynomials

Author

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  • Khan, Subuhi
  • Riyasat, Mumtaz

Abstract

In this article, the Gould–Hopper–Sheffer polynomials are introduced by means of generating function and determinantal definition. Certain properties of these polynomials are established and operational relations between the Sheffer and Gould–Hopper–Sheffer polynomials are derived. Examples of some members belonging to the Gould–Hopper–Sheffer and Gould–Hopper–Appell polynomials families are considered and the corresponding numbers for certain polynomials are also obtained.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:251:y:2015:i:c:p:599-614
    DOI: 10.1016/j.amc.2014.11.081
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    Cited by:

    1. 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.
    2. 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.
    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.

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