Asymptotic normality of the coefficients of polynomials associated with the Gegenbauer ones

DOI10.1016/S0377-0427(00)00667-1zbMath0997.33001MaRDI QIDQ5946617

Malvina G. Vamvakari, Andreas George Kyriakoussis

Publication date: 27 February 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsGegenbauer polynomialscentral and local limit theoremsmatching polynomialpath polynomial

Mathematics Subject Classification ID

Related Items (2)

A unified treatment for the asymptotic normality of the coefficients of polynomials related to orthogonal ones ⋮ Limit theorems for numbers satisfying a class of triangular arrays

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gaussian limiting distributions for the number of components in combinatorial structures
• General combinatorial schemas: Gaussian limit distributions and exponential tails
• A central limit theorem for numbers satisfying a class of triangular arrays
• Hermite polynomials and a duality relation for matchings polynomials
• Central and local limit theorems for the coefficients of polynomials of binomial type
• Asymptotic normality of the coefficients of polynomials related to the classical system orthogonal ones
• Central and local limit theorems for the coefficients of polynomials associated with the Laguerre ones
• Matching behaviour is asymptotically normal
• Theory of monomer-dimer systems
• Central and local limit theorems applied to asymptotic enumeration
• Gibbs' Measures on Combinatorial Objects and the Central Limit Theorem for an Exponential Family of Random Trees
• On the theory of the matching polynomial
• Asymptotic normality of a class of discrete power series distributions
• Stirling Behavior is Asymptotically Normal
• Concavity properties and a generating function for stirling numbers

This page was built for publication: Asymptotic normality of the coefficients of polynomials associated with the Gegenbauer ones