Fourier Expansion, Integral Representation and Explicit Formula at Rational Arguments of the Tangent Polynomials of Higher-Order

Cristina Bordaje Corcino, Roberto Bagsarsa Corcino, Jeremar Casquejo

Abstract

In this paper, Fourier series expansion of Tangent polynomials are derived and the integral representation and explicit formula at rational arguments of these polynomials are established.

Keywords

Genocchi polynomials, Tangent polynomials, Bernoulli polynomials, Euler polynomials, Genocchi polynomials, generating functions, Fourier series, integral representation

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