Approximation of Mathieu Functions by Parabolic Cylinder Functions-Reference-Cited by-同舟云学术

Approximation of Mathieu Functions by Parabolic Cylinder Functions

Published:2023 Issue:3 Volume:114 Page:347-352
ISSN:0025-567X
Container-title:Matematicheskie Zametki
language:ru
Short-container-title:Matematicheskie Zametki

Author:

Zlobina Ekaterina Andreevna¹

Affiliation:

1. Saint Petersburg State University

Abstract

Рассматривается классическое уравнение Матье с комплексными коэффициентами специального вида. Строятся простые неравномерные асимптотики его решений в терминах функций параболического цилиндра. Библиография: 11 названий.

Funder

Ministry of Science and Higher Education of the Russian Federation

Publisher

Steklov Mathematical Institute

Subject

General Medicine

Reference11 articles.

1. The solutions of the Mathieu equation with a complex variable and at least one parameter large

2. The solutions of second order linear ordinary differential equations about a turning point of order two

3. UNIFORM ASYMPTOTIC FORMS OF MODIFIED MATHIEU FUNCTIONS

4. Uniform asypmptotic expansions of modified Mathieu functions.

5. Mathieu functions of general order: connection formulae, base functions and asymptotic formulae. I. Introduction

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