Asymptotic formulas for generalized elliptic-type integrals

被引：14

作者：

Kalla, SL ^{[1
]}

Tuan, VK ^{[1
]}

机构：

[1] UNIV ZULIA,CIMA,MARACAIBO,VENEZUELA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1996年 / 32卷 / 04期

关键词：

elliptic-type integrals; hypergeometric functions; Asymptotic formulas;

D O I：

10.1016/0898-1221(96)00124-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Epstein-Hubbell [1] elliptic-type integrals occur in radiation field problems. The object of the present paper is to consider a unified form of different elliptic-type integrals, defined and developed recently by several authors. We obtain asymptotic formulas for the generalized elliptic-type integrals.

引用

页码：49 / 55

页数：7

共 50 条

[41] ASYMPTOTIC APPROXIMATIONS FOR SYMMETRICAL ELLIPTIC INTEGRALS
CARLSON, BC
GUSTAFSON, JL
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1994, 25 (02) : 288 - 303
[42] ELLIPTIC-TYPE ILL-POSED SYSTEMS
NAKOULIMA, O
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1994, 73 (05): : 441 - 453
[43] Generalized resolvents of linear relations generated by a nonnegative operator function and a differential elliptic-type expression
V. M. Bruk
Russian Mathematics, 2008, 52 (11) : 10 - 22
[44] PADE APPROXIMANTS TO CERTAIN ELLIPTIC-TYPE FUNCTIONS
Baratchart, Laurent
Yattselev, Maxim L.
JOURNAL D ANALYSE MATHEMATIQUE, 2013, 121 : 31 - 86
[45] Asymptotic and summation formulas related to the Lebedev integrals
Yakubovich, Semyon B.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2008, 19 (3-4) : 293 - 304
[46] DIRICHLET PROBLEM FOR STRONGLY CONNECTED ELLIPTIC-TYPE SYSTEMS
KHOP, NT
DOKLADY AKADEMII NAUK SSSR, 1966, 171 (02): : 292 - &
[47] Generalized Resolvents of Linear Relations Generated by a Nonnegative Operator Function and a Differential Elliptic-Type Expression
Bruk, V. M.
RUSSIAN MATHEMATICS, 2008, 52 (11) : 10 - 22
[48] Differential operators defining a solution of an elliptic-type equation
Aleksandrovich I.M.
Sidorov M.V.
Journal of Mathematical Sciences, 2000, 102 (1) : 3719 - 3726
[49] Calculation of generalized elliptic type integrals using the binomial expansion theorem
Mamedov, BA
Tapramaz, R
Merdan, Z
APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (01) : 333 - 341
[50] Elliptic-type soliton combs in optical ring microresonators
Bitha, Rodrigues D. Dikande
Dikande, Alain M.
PHYSICAL REVIEW A, 2018, 97 (03)

← 1 2 3 4 5 →