On the asymptotic expansion of the entropy of Gegenbauer polynomials

Authors:
Joaquin F. Sánchez Lara
Affiliations:
Departamento de Estadística y Matemática Aplicada, Universidad de Almería, La Cañada, 04120 Almería, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2002

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Cited 1

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Abstract

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).