ON BESSEL-FUNCTIONS AND RATE OF CONVERGENCE OF ZEROS OF LOMMEL POLYNOMIALS

被引：0

作者：

FEINSILVER, P ^{[1
]}

SCHOTT, R ^{[1
]}

机构：

[1] UNIV NANCY 1,INRIA LORRAINE,CTR RECH INFORMAT NANCY,F-54506 VANDOEUVRE NANCY,FRANCE

来源：

MATHEMATICS OF COMPUTATION | 1992年 / 59卷 / 199期

关键词：

D O I：

10.2307/2152986

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we solve an open problem of Flajolet and Schott concerning the rate of convergence of the zeros of Lommel polynomials to the zeros of a Bessel function (considered as a function of the order). The average case analysis of dynamic data structures was the initial motivation for this investigation. The Maple program, whose results are reported at the end, illustrates that our result is quite good.

引用

页码：153 / 156

页数：4

共 50 条

[1] INEQUALITIES FOR THE ZEROS OF ULTRASPHERICAL POLYNOMIALS AND BESSEL-FUNCTIONS
FORSTER, KJ
PETRAS, K
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1993, 73 (09): : 232 - 236
[2] ON AN INTEGRAL OF LOMMEL AND BESSEL-FUNCTIONS
CHAUDHRY, MA
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1994, 35 : 439 - 444
[3] MONOTONICITY PROPERTIES FOR THE ZEROS OF ORTHOGONAL POLYNOMIALS AND BESSEL-FUNCTIONS
LAFORGIA, A
[J]. LECTURE NOTES IN MATHEMATICS, 1985, 1171 : 267 - 277
[4] AN APPROXIMATION FOR THE ZEROS OF BESSEL-FUNCTIONS
ELBERT, A
[J]. NUMERISCHE MATHEMATIK, 1991, 59 (07) : 647 - 657
[5] ON THE CONVEXITY OF THE ZEROS OF BESSEL-FUNCTIONS
ELBERT, A
LAFORGIA, A
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1985, 16 (03) : 614 - 619
[6] ON THE SQUARE OF THE ZEROS OF BESSEL-FUNCTIONS
ELBERT, A
LAFORGIA, A
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1984, 15 (01) : 206 - 212
[7] ON THE CONCAVITY OF ZEROS OF BESSEL-FUNCTIONS
ELBERT, A
GATTESCHI, L
LAFORGIA, A
[J]. APPLICABLE ANALYSIS, 1983, 16 (04) : 261 - 278
[8] ON THE ZEROS OF DERIVATIVES OF BESSEL-FUNCTIONS
LORCH, L
SZEGO, P
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1988, 19 (06) : 1450 - 1454
[9] MORE ON THE ZEROS OF BESSEL-FUNCTIONS
AHMED, S
[J]. LETTERE AL NUOVO CIMENTO, 1980, 27 (07): : 222 - 224
[10] ON THE ZEROS OF DERIVATIVES OF BESSEL-FUNCTIONS
ELBERT, A
LAFORGIA, A
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1983, 34 (06): : 774 - 786

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