Information entropy of Gegenbauer polynomials

S. V. Buyarov; P. López-Artés; A. Martínez-Finkelshtein; W. Van Assche

doi:10.1088/0305-4470/33/37/307

Information entropy of Gegenbauer polynomials

S. V. Buyarov, P. López-Artés, A. Martínez-Finkelshtein, W. Van Assche

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

The information entropy of Gegenbauer polynomials is relevant since this is related to the angular part of the information entropies of certain quantum mechanical systems such as the harmonic oscillator and the hydrogen atom in D dimensions. We give an effective method to compute the entropy for Gegenbauer polynomials with an integer parameter and obtain the first few terms in the asymptotic expansion as the degree of the polynomial tends to infinity.

Original language	English
Pages (from-to)	6549-6560
Number of pages	12
Journal	Journal of Physics A: Mathematical and General
Volume	33
Issue number	37
DOIs	https://doi.org/10.1088/0305-4470/33/37/307
State	Published - 22 Sep 2000
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

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10.1088/0305-4470/33/37/307

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abstract = "The information entropy of Gegenbauer polynomials is relevant since this is related to the angular part of the information entropies of certain quantum mechanical systems such as the harmonic oscillator and the hydrogen atom in D dimensions. We give an effective method to compute the entropy for Gegenbauer polynomials with an integer parameter and obtain the first few terms in the asymptotic expansion as the degree of the polynomial tends to infinity.",

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AU - Buyarov, S. V.

AU - López-Artés, P.

AU - Martínez-Finkelshtein, A.

AU - Van Assche, W.

PY - 2000/9/22

Y1 - 2000/9/22

N2 - The information entropy of Gegenbauer polynomials is relevant since this is related to the angular part of the information entropies of certain quantum mechanical systems such as the harmonic oscillator and the hydrogen atom in D dimensions. We give an effective method to compute the entropy for Gegenbauer polynomials with an integer parameter and obtain the first few terms in the asymptotic expansion as the degree of the polynomial tends to infinity.

AB - The information entropy of Gegenbauer polynomials is relevant since this is related to the angular part of the information entropies of certain quantum mechanical systems such as the harmonic oscillator and the hydrogen atom in D dimensions. We give an effective method to compute the entropy for Gegenbauer polynomials with an integer parameter and obtain the first few terms in the asymptotic expansion as the degree of the polynomial tends to infinity.

UR - https://www.scopus.com/pages/publications/0040194108

U2 - 10.1088/0305-4470/33/37/307

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EP - 6560

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

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ER -

Information entropy of Gegenbauer polynomials

Abstract

ASJC Scopus subject areas

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