DERIVATION OF GREEN-TYPE TRANSITIONAL + UNIFORM ASYMPTOTIC EXPANSIONS FROM DIFFERENTIAL EQUATIONS .1. GENERAL THEORY + APPLICATION TO MODIFIED BESSEL FUNCTIONS OF LARGE ORDER

被引:11
作者
JORNA, S
机构
关键词
D O I
10.1098/rspa.1964.0171
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
引用
收藏
页码:99 / +
相关论文
共 37 条
[1]   Remarks on undulatory mechanics [J].
Brillouin, L .
JOURNAL DE PHYSIQUE ET LE RADIUM, 1926, 7 :353-368
[2]  
CHERRY TM, 1950, T AM MATH SOC, V68, P224
[3]  
Dingle R.B., 1956, APPL SCI RES B, V5, P345
[4]   ASYMPTOTIC EXPANSIONS AND CONVERGING FACTORS .4. CONFLUENT HYPERGEOMETRIC, PARABOLIC CYLINDER, MODIFIED BESSEL, AND ORDINARY BESSEL FUNCTIONS [J].
DINGLE, RB .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1959, 249 (1257) :270-283
[5]  
DINGLE RB, 1955, APPL SCI RES, VB4, P401
[6]  
Doetsch, 1955, ANWENDUNGEN LAPLACE
[7]  
DOETSCH G, 1950, THEORIE LAPLACETRANS
[8]  
Erdelyi A, 1953, HIGHER TRANSCENDENTA
[9]  
Gans R, 1915, ANN PHYS-BERLIN, V47, P709
[10]  
Green G., 1838, T CAMBRIDGE PHILOS S, V6, P457