2021 Approximations of Tangent Polynomials, Tangent –Bernoulli and Tangent – Genocchi Polynomials in terms of Hyperbolic Functions
Cristina B. Corcino, Roberto B. Corcino, Jay M. Ontolan
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J. Appl. Math. 2021: 1-10 (2021). DOI: 10.1155/2021/8244000

Abstract

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.

Acknowledgments

This research is funded by Cebu Normal University through its Research Institute for Computational Mathematics and Physics (RICMP). The authors would like to thank the anonymous referee for reviewing the paper thoroughly.

Citation

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Cristina B. Corcino. Roberto B. Corcino. Jay M. Ontolan. "Approximations of Tangent Polynomials, Tangent –Bernoulli and Tangent – Genocchi Polynomials in terms of Hyperbolic Functions." J. Appl. Math. 2021 1 - 10, 2021. https://doi.org/10.1155/2021/8244000

Information

Received: 30 September 2021; Revised: 13 November 2021; Accepted: 15 November 2021; Published: 2021
First available in Project Euclid: 28 July 2021

Digital Object Identifier: 10.1155/2021/8244000

Rights: Copyright © 2021 Hindawi

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