Special functions in academician AA Dorodnicyn's scientific legacy: Special functions arising in the solution of boundary value problems for second-order singular ordinary differential equations by asymptotic methods

被引：0

作者：

Kerimov, M. K. ^{[1
]}

机构：

[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119333, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2011年 / 51卷 / 11期

基金：

俄罗斯基础研究基金会;

关键词：

Academician AA Dorodnicyn's scientific legacy; singular ordinary differential equations; asymptotic methods; special functions;

D O I：

10.1134/S096554251111011X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

On the occasion of the centenary of Academician A.A. Dorodnicyn's birth, his main results concerning asymptotic methods for solving second-order singular ordinary differential equations and special functions related to these equations are presented (with certain corrections and additions).

引用

页码：1878 / 1914

页数：37

共 9 条

[1]

Dorodnicyn A.A., 1947, PRIKL MAT MECH J, V11, P313

[2]

Dorodnicyn AA., 1952, USP MAT NAUK, V7, P3

[3]

Fedoryuk M.V., 1983, ASYMPTOTIC METHODS L

[4]

HORN J, 1899, MATH ANN, V52, P271

[5] Special functions in Academician AA Dorodnicyn's scientific legacy: Special functions associated with the van der Pol equation [J].

Kerimov, M. K. .

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2011, 51 (05) :781-802

[6]

Kerimov MK, 1996, COMP MATH MATH PHYS+, V36, P1547

[7]

LANGER R, 1949, T AM MATH SOC, V67, P197

[8]

Olver F.W.J., 1974, ASYMPTOTIC SPECIAL F

[9]

PETRASHEN MI, 1949, UCH ZAP LGU ZHDAN FN, P59

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