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A Numerical Computation of Zeros of q -Generalized Tangent-Appell Polynomials

Author

Listed:
  • Ghazala Yasmin

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

  • Cheon Seoung Ryoo

    (Department of Mathematics, Hannam University, Daejeon 306-791, Korea)

  • Hibah Islahi

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

Abstract

The intended objective of this study is to define and investigate a new class of q -generalized tangent-based Appell polynomials by combining the families of 2-variable q -generalized tangent polynomials and q -Appell polynomials. The investigation includes derivations of generating functions, series definitions, and several important properties and identities of the hybrid q -special polynomials. Further, the analogous study for the members of this q -hybrid family are illustrated. The graphical representation of its members is shown, and the distributions of zeros are displayed.

Suggested Citation

  • Ghazala Yasmin & Cheon Seoung Ryoo & Hibah Islahi, 2020. "A Numerical Computation of Zeros of q -Generalized Tangent-Appell Polynomials," Mathematics, MDPI, vol. 8(3), pages 1-20, March.
  • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:383-:d:330295
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    References listed on IDEAS

    as
    1. Eini Keleshteri, Marzieh & Mahmudov, Nazim I., 2015. "A study on q-Appell polynomials from determinantal point of view," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 351-369.
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