EFFICIENT EVALUATION OF INCOMPLETE ELLIPTIC INTEGRALS AND FUNCTIONS

被引:10
作者
LEMCZYK, TF
YOVANOVICH, MM
机构
关键词
D O I
10.1016/0898-1221(88)90010-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
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页码:747 / 757
页数:11
相关论文
共 16 条
[1]  
Abramowitz M., 1970, HDB MATH FNCTIONS
[2]  
BYRD PF, 1954, HDB ELLIPTIC INTEGRA
[3]   COMPUTING ELLIPTIC INTEGRALS BY DUPLICATION [J].
CARLSON, BC .
NUMERISCHE MATHEMATIK, 1979, 33 (01) :1-16
[4]   ALGORITHM 577 - ALGORITHMS FOR INCOMPLETE ELLIPTIC INTEGRALS [S21] [J].
CARLSON, BC ;
NOTIS, EM .
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1981, 7 (03) :398-403
[5]   ON CERTAIN INTEGRALS OF LIPSCHITZ-HANKEL TYPE INVOLVING PRODUCTS OF BESSEL FUNCTIONS [J].
EASON, G ;
NOBLE, B ;
SNEDDON, IN .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1955, 247 (935) :529-551
[6]   RAPIDLY-CONVERGENT METHODS FOR EVALUATING ELLIPTIC INTEGRALS AND THETA AND ELLIPTIC FUNCTIONS [J].
FENTON, JD ;
GARDINERGARDEN, RS .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1982, 24 (JUL) :47-58
[7]  
Gonzalez MO., 1954, P GLASGOW MATH ASS, V2, P97, DOI [10.1017/S2040618500033104, DOI 10.1017/S2040618500033104]
[8]  
JAHNKE E, 1945, TABLES FUNCTIONS
[9]  
Legendre A M, 1825, TRAITE FONCTIONS ELL, V1
[10]  
LEMCZYK TF, IN PRESS INT J HEAT