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Fourier Series for the Tangent Polynomials, Tangent-Bernoulli and Tangent-Genocchi Polynomials of Higher Order

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In this paper, the Fourier series expansion of Tangent polynomials of higher order is derived using the Cauchy residue theorem. Moreover, some variations of higher-order Tangent polynomials are defined by… Click to show full abstract

In this paper, the Fourier series expansion of Tangent polynomials of higher order is derived using the Cauchy residue theorem. Moreover, some variations of higher-order Tangent polynomials are defined by mixing the concept of Tangent polynomials with that of Bernoulli and Genocchi polynomials, Tangent–Bernoulli and Tangent–Genocchi polynomials. Furthermore, Fourier series expansions of these variations are also derived using the Cauchy residue theorem.

Keywords: tangent; higher order; genocchi polynomials; fourier series; tangent polynomials

Journal Title: Axioms
Year Published: 2022

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