Approximations of Tangent Polynomials, Tangent –Bernoulli and Tangent – Genocchi Polynomials in terms of Hyperbolic Functions

Asymptotic approximations of Tangent polynomials, Tangent-Bernoulli, and Tangent-Genocchi polynomials are derived using saddle point method and the approximations are expressed in terms of hyperbolic functions. For each polynomial there are two approximations derived with one having enlarged region...

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Main Authors: Cristina B. Corcino, Roberto B. Corcino, Jay M. Ontolan
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2021/8244000
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author Cristina B. Corcino
Roberto B. Corcino
Jay M. Ontolan
author_facet Cristina B. Corcino
Roberto B. Corcino
Jay M. Ontolan
author_sort Cristina B. Corcino
collection DOAJ
description Asymptotic approximations of Tangent polynomials, Tangent-Bernoulli, and Tangent-Genocchi polynomials are derived using saddle point method and the approximations are expressed in terms of hyperbolic functions. For each polynomial there are two approximations derived with one having enlarged region of validity.
format Article
id doaj-art-7f3e6c28bdcb499fac1046590113e72d
institution Kabale University
issn 1687-0042
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-7f3e6c28bdcb499fac1046590113e72d2025-02-03T01:07:07ZengWileyJournal of Applied Mathematics1687-00422021-01-01202110.1155/2021/8244000Approximations of Tangent Polynomials, Tangent –Bernoulli and Tangent – Genocchi Polynomials in terms of Hyperbolic FunctionsCristina B. Corcino0Roberto B. Corcino1Jay M. Ontolan2Research Institute for Computational Mathematics and PhysicsResearch Institute for Computational Mathematics and PhysicsResearch Institute for Computational Mathematics and PhysicsAsymptotic approximations of Tangent polynomials, Tangent-Bernoulli, and Tangent-Genocchi polynomials are derived using saddle point method and the approximations are expressed in terms of hyperbolic functions. For each polynomial there are two approximations derived with one having enlarged region of validity.http://dx.doi.org/10.1155/2021/8244000
spellingShingle Cristina B. Corcino
Roberto B. Corcino
Jay M. Ontolan
Approximations of Tangent Polynomials, Tangent –Bernoulli and Tangent – Genocchi Polynomials in terms of Hyperbolic Functions
Journal of Applied Mathematics
title Approximations of Tangent Polynomials, Tangent –Bernoulli and Tangent – Genocchi Polynomials in terms of Hyperbolic Functions
title_full Approximations of Tangent Polynomials, Tangent –Bernoulli and Tangent – Genocchi Polynomials in terms of Hyperbolic Functions
title_fullStr Approximations of Tangent Polynomials, Tangent –Bernoulli and Tangent – Genocchi Polynomials in terms of Hyperbolic Functions
title_full_unstemmed Approximations of Tangent Polynomials, Tangent –Bernoulli and Tangent – Genocchi Polynomials in terms of Hyperbolic Functions
title_short Approximations of Tangent Polynomials, Tangent –Bernoulli and Tangent – Genocchi Polynomials in terms of Hyperbolic Functions
title_sort approximations of tangent polynomials tangent bernoulli and tangent genocchi polynomials in terms of hyperbolic functions
url http://dx.doi.org/10.1155/2021/8244000
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AT jaymontolan approximationsoftangentpolynomialstangentbernoulliandtangentgenocchipolynomialsintermsofhyperbolicfunctions