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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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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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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