UNIFORM ASYMPTOTIC EXPANSIONS FOR WEBER PARABOLIC CYLINDER FUNCTIONS OF LARGE ORDERS

被引：125

作者：

OLVER, FWJ

机构：

来源：

JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS SECTION B-MATHEMATICAL SCIENCES | 1959年 / 63卷 / 02期

关键词：

D O I：

10.6028/jres.063B.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：131 / 169

页数：39

共 15 条

[1] ON WEBER FUNCTION
DARWIN, CG
[J]. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1949, 2 (03) : 311 - 320
[2] ERDELYI A, 1954, J RATION MECH ANAL, V3, P459
[3] ASYMPTOTIC THEORY OF 2ND ORDER DIFFERENTIAL EQUATIONS WITH 2 SIMPLE TURNING POINTS
KAZARINOFF, ND
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1958, 2 (02) : 129 - 150
[4] MILLER JCP, 1955, TABLES WEBER PARABOL
[5] MILLER JCP, 1946, BRIT ASS MATH TABLES, VB
[6] Milne-Thomson LM., 1933, CALCULUS FINITE DIFF, V2
[7] Olver F.W.J., 1954, PHIL T ROY SOC LON A, V247, P328
[8] Olver F. W. J., 1954, PHIL T ROY SOC LON A, V247, P307
[9] OLVER FWJ, 1950, P CAMB PHILOS SOC, V46, P570
[10] UNIFORM ASYMPTOTIC EXPANSIONS OF SOLUTIONS OF LINEAR 2ND-ORDER DIFFERENTIAL EQUATIONS FOR LARGE VALUES OF A PARAMETER
OLVER, FWJ
[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1958, 250 (984) : 479 - 517