Symmetric q-extension of $$\lambda $$ λ -Apostol–Euler polynomials via umbral calculus

Hedi Elmonser ()
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Hedi Elmonser: Majmaah University

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 2, 583-594

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

Keywords: Umbral calculus; Euler numbers and polynomials; q-theory; 05A30; 05A40; 11B68 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00277-y

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