On the asymptotic expansion of the entropy of Gegenbauer polynomials

被引：3

作者：

Lara, JFS ^{[1
]}

机构：

[1] Univ Almeria, Dept Estadist & Matemat Aplicada, Almeria 04120, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 142卷 / 02期

关键词：

Gegenbauer polynomials; Shannon entropy; logarithmic potential;

D O I：

10.1016/S0377-0427(01)00418-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the third term in the asymptotic expansion of the entropy for orthonormal Gegenbauer polynomials with fixed integer parameter is obtained as the degree of the polynomials tends to infinity, improving the results of Buyarov et al. (J. Phys. A 33 (2000) 6549), (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：401 / 409

页数：9

共 10 条

[1] [Anonymous], 1975, AM MATH SOC C PUBLIC
[2] ASYMPTOTIC-BEHAVIOR OF THE L(P)-NORMS AND THE ENTROPY FOR GENERAL ORTHOGONAL POLYNOMIALS
APTEKAREV, AI
BUYAROV, VS
DEGEZA, IS
DEHESA, JS
[J]. RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS, 1995, 82 (02) : 373 - 395
[3] UNCERTAINTY RELATIONS FOR INFORMATION ENTROPY IN WAVE MECHANICS
BIALYNICKIBIRULA, I
MYCIELSKI, J
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1975, 44 (02) : 129 - 132
[4] Information entropy of Gegenbauer polynomials
Buyarov, VS
López-Artés, P
Martínez-Finkelshtein, A
Van Assche, W
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (37): : 6549 - 6560
[5] CONWAY JB, 1978, FUNCTIONS ONE COMPLE, V1
[6] Quantum information entropies and orthogonal polynomials
Dehesa, JS
Martínez-Finkelshtein, A
Sánchez-Ruiz, J
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 133 (1-2) : 23 - 46
[7] DEHESA JS, 2000, SEMICLASSICAL ASYMPT
[8] Dehesa JS., 1997, METHODS APPL ANAL, V4, P91, DOI [DOI 10.4310/MAA.1997.V4.N1.A7, 10.4310/MAA.1997.v4.n1.a7, DOI 10.4310/MAA.1997.v4.n1.a7]
[9] DEHESA JS, 2000, UNPUB SHORT WAVE ASY
[10] POSITION AND MOMENTUM INFORMATION ENTROPIES OF THE D-DIMENSIONAL HARMONIC-OSCILLATOR AND HYDROGEN-ATOM
YANEZ, RJ
VANASSCHE, W
DEHESA, JS
[J]. PHYSICAL REVIEW A, 1994, 50 (04): : 3065 - 3079

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