Role of Hermite Polynomials in Asymptotic Analysis. Modelling, Analysis and211 Simulation

摘要

Hermite polynomials are considered as approximants in asymptotic representations211u001eof certain other polynomials. Examples are given for polynomials from the Askey 211u001escheme of hypergeometric orthogonal polynomials. We also mention that Hermite 211u001epolynomials can be used as main approximants in uniform asymptotic 211u001erepresentations of certain types of integrals and differential equations.