Information entropy of Gegenbauer polynomials of integer parameter

DOI10.1088/1751-8113/40/29/010zbMath1120.33011arXiv0707.0667OpenAlexW3102878874MaRDI QIDQ3594678

Silvia Gandy, Julio I. de Vicente, Jorge Sánchez-Ruiz

Publication date: 9 August 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.0667

zbMATH Keywords

information entropyclosed analytic formulaGegenbauer polnomials

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) General mathematical topics and methods in quantum theory (81Q99) Measures of information, entropy (94A17) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Exponential and trigonometric functions (33B10)

Related Items (5)

Complexity-like properties and parameter asymptotics of Lq -norms of Laguerre and Gegenbauer polynomials ⋮ Spreading lengths of Hermite polynomials ⋮ Some identities involving Gegenbauer polynomials ⋮ Generalized Mixed Type Bernoulli-Gegenbauer Polynomials ⋮ Some identities involving generalized Gegenbauer polynomials

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