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

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, Tang...

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Bibliographic Details
Main Authors: Corcino, C.B (Author), Corcino, R.B (Author)
Format: Article
Language:English
Published: MDPI 2022
Subjects:
Online Access:View Fulltext in Publisher
LEADER 01171nam a2200193Ia 4500
001 10.3390-axioms11030086
008 220425s2022 CNT 000 0 und d
020 |a 20751680 (ISSN) 
245 1 0 |a Fourier Series for the Tangent Polynomials, Tangent–Bernoulli and Tangent–Genocchi Polynomials of Higher Order 
260 0 |b MDPI  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.3390/axioms11030086 
520 3 |a 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. © 2022 by the authors. Licensee MDPI, Basel, Switzerland. 
650 0 4 |a Bernoulli polynomials 
650 0 4 |a generating functions 
650 0 4 |a Genocchi polynomials 
650 0 4 |a tangent polynomials 
700 1 |a Corcino, C.B.  |e author 
700 1 |a Corcino, R.B.  |e author 
773 |t Axioms