Approximations of tangent polynomials, tangent-Bernoulli and tangent-Genocchi polynomials in terms of hyperbolic functions
type: Item
instance of: scholarly article
title: Approximations of tangent polynomials, tangent-Bernoulli and tangent-Genocchi polynomials in terms of hyperbolic functions
zbMATH Open document ID: 1499.11100
DOI: 10.1155/2021/8244000
author: Cristina B. Corcino
author: R. B. Corcino
author: Jay M. Ontolan
published in: Journal of Applied Mathematics
publication date: 2022-01-05T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 11B68
zbMATH DE Number: 7452296
Wikidata QID: Q114069874
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/8244000
OpenAlex ID: W3217571500
cites work: Q5666618
cites work: Derivative polynomials, Euler polynomials, and associated integer sequences
cites work: Euler numbers and polynomials associated with zeta functions
cites work: ON TWISTED GENERALIZED EULER NUMBERS
cites work: Q3021451
cites work: On multiple interpolation functions of the Nörlund-type \(q\)-Euler polynomials
cites work: Q4951551
cites work: POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS
cites work: Poly-Bernoulli numbers
cites work: Some new formulae for Genocchi numbers and polynomials involving Bernoulli and Euler polynomials
cites work: Q3993278
cites work: Uniform Approximations of Bernoulli and Euler Polynomials in Terms of Hyperbolic Functions
description: scientific article; zbMATH DE number 7452296