Hermite Polynomials in Asymptotic Representations of Generalized Bernoulli,211 Euler, Bessel and Buchholz Polynomials. Modelling, Analysis and Simulation (MAS)

摘要

This is the second paper on finite exact representations of certain polynomials211u001ein terms of Hermite polynomials. The resentations have asymptotic properties and 211u001einclude new limits of the polynomials, again in terms of Hermite polynomials. 211u001eThis time we consider the generalized Bernoulli, Euler, Bessel and Buchholz 211u001epolynomials. The asymptotic approximations of these polynomials are valid for 211u001elarge values of a certain parameter. The representations and limits include 211u001einformation on the zero distribution of the polynomials. Graphs are given that 211u001eindicate the accuracy of the first term approximations.