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

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i2.4703

Keywords:

Approximations, Bernoulli polynomials, Euler polynomials, Genocchi polynomials

Abstract

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.

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Published

2023-04-30

How to Cite

Corcino, C. B., & Corcino, R. . (2023). Asymptotic approximations for Generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials in terms of Hyperbolic Functions. European Journal of Pure and Applied Mathematics, 16(2), 791–805. https://doi.org/10.29020/nybg.ejpam.v16i2.4703

Issue

Vol. 16 No. 2: (April 2023)

Section

Nonlinear Analysis

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Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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