SHORT PROOFS OF 3 THEOREMS ON ELLIPTIC INTEGRALS

被引：13

作者：

CARLSON, BC

机构：

[1] IOWA STATE UNIV,DEPT MATH,AMES,IA 50011

[2] IOWA STATE UNIV,DEPT PHYS,AMES,IA 50011

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1978年 / 9卷 / 03期

关键词：

D O I：

10.1137/0509033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：524 / 528

页数：5

共 10 条

[1] ON COMPUTING ELLIPTIC INTEGRALS AND FUNCTIONS [J].

CARLSON, BC .

JOURNAL OF MATHEMATICS AND PHYSICS, 1965, 44 (01) :36-&

[2] ELLIPTIC INTEGRALS OF 1ST KIND [J].

CARLSON, BC .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1977, 8 (02) :231-242

[3] INEQUALITIES FOR A SYMMETRIC ELLIPTIC INTEGRAL [J].

CARLSON, BC .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 25 (03) :698-&

[4] SOME INEQUALITIES FOR HYPERGEOMETRIC FUNCTIONS [J].

CARLSON, BC .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 17 (01) :32-&

[5] NORMAL ELLIPTIC INTEGRALS OF 1ST + 2ND KINDS [J].

CARLSON, BC .

DUKE MATHEMATICAL JOURNAL, 1964, 31 (03) :405-&

[6] HIDDEN SYMMETRIES OF SPECIAL FUNCTIONS [J].

CARLSON, BC .

SIAM REVIEW, 1970, 12 (03) :332-&

[7]

CAYLEY A, 1961, ELLIPTIC FUNCTIONS

[8]

Klein F, 1926, VORLESUNGEN ENTWICKL

[9] REDUCTION AND EVALUATION OF ELLIPTIC INTEGRALS [J].

NELLIS, WJ ;

CARLSON, BC .

MATHEMATICS OF COMPUTATION, 1966, 20 (94) :223-&

[10] SYMMETIC ELLIPTIC INTEGRALS OF THIRD KIND [J].

ZILL, DG ;

CARLSON, BC .

MATHEMATICS OF COMPUTATION, 1970, 24 (109) :199-&

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