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Gottlieb Polynomials and Their q -Extensions

Author

Listed:
  • Esra ErkuŞ-Duman

    (Department of Mathematics, Faculty of Science, Gazi University, Teknikokullar, TR-06500 Ankara, Turkey)

  • Junesang Choi

    (Department of Mathematics, Dongguk University, Gyeongju 38066, Korea)

Abstract

Since Gottlieb introduced and investigated the so-called Gottlieb polynomials in 1938, which are discrete orthogonal polynomials, many researchers have investigated these polynomials from diverse angles. In this paper, we aimed to investigate the q -extensions of these polynomials to provide certain q -generating functions for three sequences associated with a finite power series whose coefficients are products of the known q -extended multivariable and multiparameter Gottlieb polynomials and another non-vanishing multivariable function. Furthermore, numerous possible particular cases of our main identities are considered. Finally, we return to Khan and Asif’s q -Gottlieb polynomials to highlight certain connections with several other known q -polynomials, and provide its q -integral representation. Furthermore, we conclude this paper by disclosing our future investigation plan.

Suggested Citation

  • Esra ErkuŞ-Duman & Junesang Choi, 2021. "Gottlieb Polynomials and Their q -Extensions," Mathematics, MDPI, vol. 9(13), pages 1-15, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:13:p:1499-:d:582698
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    Cited by:

    1. Hari Mohan Srivastava, 2022. "Higher Transcendental Functions and Their Multi-Disciplinary Applications," Mathematics, MDPI, vol. 10(24), pages 1-3, December.

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