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Symmetric q-extension of \(\lambda \)-Apostol–Euler polynomials via umbral calculus

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Abstract

In this paper, we introduce a new q-generalization of the Apostol–Euler polynomials, symmetric under the interchange \(q\longleftrightarrow q^{-1}\), using the symmetric q-exponential function. Several properties arising from the q-umbral calculus are derived from.

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Authors and Affiliations

  1. Department of Mathematics, College of Sciences-Zulfi, Majmaah University, Majmaah, 11952, Saudi Arabia

    Hedi Elmonser

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  1. Hedi Elmonser
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Correspondence to Hedi Elmonser.

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Communicated by Arvind Ayyer.

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Elmonser, H. Symmetric q-extension of \(\lambda \)-Apostol–Euler polynomials via umbral calculus. Indian J Pure Appl Math 54, 583–594 (2023). https://doi.org/10.1007/s13226-022-00277-y

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  • DOI: https://doi.org/10.1007/s13226-022-00277-y

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