SOME INTEGRALS INVOLVING BESSEL-FUNCTIONS

被引：1

作者：

MIANO, G ^{[1
]}

VEROLINO, L ^{[1
]}

机构：

[1] UNIV NAPLES FEDERICO II,IST NAZL FIS NUCL,SEZ NAPOLI,I-80125 NAPLES,ITALY

来源：

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS | 1995年 / 110卷 / 04期

关键词：

02.30.Mv; 02.60.Jh; Approximations and expansions; Numerical differentiation and integration;

D O I：

10.1007/BF02741454

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A certain class of integrals involving Bessel functions is considered and the general theory to develop them as a series is discussed. In order to obtain an effective series approximation, it is also shown as the convergence of the expansion can be accelerated. A physical example and a mathematical one are completely developed.

引用

页码：441 / 454

页数：14

共 50 条

[1] SOME INTEGRALS INVOLVING BESSEL-FUNCTIONS
GLASSER, ML
MONTALDI, E
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 183 (03) : 577 - 590
[2] A SHORT NOTE ON SOME INTEGRALS INVOLVING BESSEL-FUNCTIONS
DEMENNA, L
MIANO, G
VEROLINO, L
[J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1994, 109 (07): : 805 - 808
[3] INTEGRALS INVOLVING 3 BESSEL-FUNCTIONS
GERVOIS, A
NAVELET, H
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II, 1985, 301 (11): : 763 - 766
[4] SOME INFINITE INTEGRALS INVOLVING PRODUCTS OF EXPONENTIAL AND BESSEL-FUNCTIONS
TEZER, M
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1989, 28 (1-4) : 207 - 217
[5] HYPERVIRIAL CALCULATION OF INTEGRALS INVOLVING BESSEL-FUNCTIONS
FERNANDEZ, FM
MESON, A
CASTRO, EA
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (02) : 254 - 255
[6] A CLASS OF DISCONTINUOUS INTEGRALS INVOLVING BESSEL-FUNCTIONS
SCHWARTZ, C
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (12) : 2266 - 2267
[7] SOME INTEGRALS INVOLVING 3 MODIFIED BESSEL-FUNCTIONS .2.
GERVOIS, A
NAVELET, H
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1986, 27 (03) : 688 - 695
[8] INFINITE INTEGRALS INVOLVING 3 SPHERICAL BESSEL-FUNCTIONS
GERVOIS, A
NAVELET, H
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1989, 20 (04) : 1006 - 1018
[9] INTEGRALS INVOLVING BESSEL-FUNCTIONS WITH APPLICATIONS TO ELECTROSTATIC POTENTIAL
BOYD, JN
RAYCHOWDHURY, PN
[J]. JOURNAL OF ENGINEERING SCIENCES, 1980, 6 (02): : 175 - 178
[10] ALGORITHMS FOR SOME INTEGRALS OF BESSEL-FUNCTIONS AND MULTIVARIATE GAUSSIAN INTEGRALS
TERRAS, R
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1981, 41 (01) : 192 - 199

← 1 2 3 4 5 →