A DIFFERENTIAL INEQUALITY FOR THE POSITIVE ZEROS OF BESSEL-FUNCTIONS

被引：8

作者：

IFANTIS, EK ^{[1
]}

SIAFARIKAS, PD ^{[1
]}

机构：

[1] UNIV PATRAS,DEPT MATH,PATRAS,GREECE

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1992年 / 44卷 / 01期

关键词：

DIFFERENTIAL INEQUALITIES; BOUNDS OF ZEROS OF BESSEL FUNCTIONS;

D O I：

10.1016/0377-0427(92)90055-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that the positive zeros j(nu,k), k = 1, 2,..., of the Bessel function J(nu)(x) of the first kind and order nu > -1, satisfy the differential inequality j(nu,k) dj(nu,k)/dnu > 1 + (1 + j(nu,k)2)1/2, nu > -1. This inequality improves the well-known inequality dj(nu,k)/dnu > 1, nu > -1, which is the source of a large number of lower and upper bounds for the zeros j(nu,k), k = 1, 2,... .

引用

页码：115 / 120

页数：6

共 50 条

[1] DIFFERENTIAL-INEQUALITIES FOR THE POSITIVE ZEROS OF BESSEL-FUNCTIONS
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[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1990, 30 (02) : 139 - 143
[2] A DIFFERENTIAL-EQUATION FOR THE ZEROS OF BESSEL-FUNCTIONS
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[3] AN INEQUALITY RELATED THE ZEROS OF 2 ORDINARY BESSEL-FUNCTIONS
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[4] AN APPROXIMATION FOR THE ZEROS OF BESSEL-FUNCTIONS
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[5] ON THE SQUARE OF THE ZEROS OF BESSEL-FUNCTIONS
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[6] ON THE CONVEXITY OF THE ZEROS OF BESSEL-FUNCTIONS
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[7] ON THE CONCAVITY OF ZEROS OF BESSEL-FUNCTIONS
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[8] ON THE ZEROS OF DERIVATIVES OF BESSEL-FUNCTIONS
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[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1988, 19 (06) : 1450 - 1454
[9] MORE ON THE ZEROS OF BESSEL-FUNCTIONS
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[J]. LETTERE AL NUOVO CIMENTO, 1980, 27 (07): : 222 - 224
[10] ON THE ZEROS OF DERIVATIVES OF BESSEL-FUNCTIONS
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