Representation of Bessel functions by the Maslov canonical operator

被引：4

作者：

Dobrokhotov, S. Yu ^{[1
]}

Minenkov, D. S. ^{[1
]}

Nazaikinskii, V. E. ^{[1
]}

机构：

[1] Russian Acad Sci, Ishlinsky Inst Problems Mech, Moscow, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2021年 / 208卷 / 02期

关键词：

semiclassical asymptotics; WKB approximation; canonical operator; Bessel function; LAGRANGIAN MANIFOLDS; WAVE-EQUATION; ASYMPTOTICS; NEIGHBORHOOD;

D O I：

10.1134/S0040577921080031

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We illustrate the construction and application of the Maslov canonical operator with examples of Bessel functions. For real values of the argument, we derive representations of these functions in terms of a canonical operator and, as a consequence, obtain the well-known asymptotics.

引用

页码：1018 / 1037

页数：20

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