Asymptotic approximations for Generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials in terms of Hyperbolic Functions

Asymptotic approximation formulas for polynomials of the type Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi with integer order and real parameters are obtained via hyperbolic functions. The derivation of the formulas is done using the principle of saddle point and expansion of appropriate hy...

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Bibliographic Details
Published inEuropean journal of pure and applied mathematics Vol. 16; no. 2; pp. 791 - 805
Main Authors Corcino, Cristina Bordaje, Corcino, Roberto
Format Journal Article
LanguageEnglish
Published 01.04.2023
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Summary:Asymptotic approximation formulas for polynomials of the type Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi with integer order and real parameters are obtained via hyperbolic functions. The derivation of the formulas is done using the principle of saddle point and expansion of appropriate hyperbolic function about a saddle point.
ISSN:1307-5543
1307-5543
DOI:10.29020/nybg.ejpam.v16i2.4703