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Determinant Forms, Difference Equations and Zeros of the q -Hermite-Appell Polynomials

Author

Listed:
  • Subuhi Khan

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202001, India)

  • Tabinda Nahid

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202001, India)

Abstract

The present paper intends to introduce the hybrid form of q -special polynomials, namely q -Hermite-Appell polynomials by means of generating function and series definition. Some significant properties of q -Hermite-Appell polynomials such as determinant definitions, q -recurrence relations and q -difference equations are established. Examples providing the corresponding results for certain members belonging to this q -Hermite-Appell family are considered. In addition, graphs of certain q -special polynomials are demonstrated using computer experiment. Thereafter, distribution of zeros of these q -special polynomials is displayed.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:258-:d:183592
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    Citations

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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. 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.

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