APPROXIMATE LINEAR RELATIONS FOR BESSEL FUNCTIONS

被引：7

作者：

Pang, Gang ^{[1
]}

Tang, Shaoqiang ^{[2
,3
]}

机构：

[1] Peking Univ, Coll Engn, Dept Mech, Beijing 100871, Peoples R China

[2] Peking Univ, CAPT, HEDPS, Beijing 100871, Peoples R China

[3] Peking Univ, Coll Engn, LTCS, Beijing 100871, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2017年 / 15卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Bessel function; asymptotic analysis; approximate linear relation; ALEX boundary condition; SIMULATIONS; EQUATION;

D O I：

10.4310/CMS.2017.v15.n7.a9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we reveal an approximate linear relation for Bessel functions of the first kind, based on asymptotic analyses. A set of coefficients are calculated from a linear algebraic system. For any given error tolerance, a Bessel function of an order big enough is approximated by a linear combination of those with neighboring orders using these coefficients. This naturally leads to a class of ALmost EXact (ALEX) boundary conditions in atomic and multiscale simulations.

引用

页码：1967 / 1986

页数：20

共 50 条

[1] LINEAR RELATIONS BETWEEN E-FUNCTIONS AND BESSEL FUNCTIONS
RAGAB, FM
ACTA MATHEMATICA, 1954, 92 (01) : 1 - 11
[2] ON FUNCTIONS THAT APPROXIMATE RELATIONS
BEER, G
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 88 (04) : 643 - 647
[3] APPROXIMATE EXPRESSIONS FOR THE BESSEL-FUNCTIONS AND THEIR ZEROS
ROSSETTI, C
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1987, 100 (04): : 515 - 536
[4] INTEGRAL RELATIONS AMONG BESSEL FUNCTIONS
SCHULZDUBOIS, EO
MATHEMATICS OF COMPUTATION, 1969, 23 (108) : 845 - +
[5] On some index relations for Bessel functions
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INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2001, 11 (04) : 397 - 402
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RIANDE, E
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[7] LINEAR RELATIONS BETWEEN BESSEL POLYNOMIALS
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[8] APPROXIMATE DISTRIBUTION DENSITY OF ZEROS OF BESSEL-FUNCTIONS
MULDOON, ME
EUROPHYSICS LETTERS, 1992, 20 (01): : 1 - 5
[9] The approximate calculation of Bessel functions of imaginary argument.
Nicholson, J. W.
PHILOSOPHICAL MAGAZINE, 1910, 20 (115-20) : 938 - 943
[10] On some relations between Bessel's functions
Kapteyn, W
PROCEEDINGS OF THE KONINKLIJKE AKADEMIE VAN WETENSCHAPPEN TE AMSTERDAM, 1912, 14 : 962 - 969

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