On the asymptotics of Laguerre matrix polynomials for large \(x\) and \(n\)

DOI10.1016/j.aml.2005.10.003zbMath1114.41023OpenAlexW1978614561MaRDI QIDQ2371044

Jorge Sastre, Emilio Defez

Publication date: 29 June 2007

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2005.10.003

zbMATH Keywords

Laguerre matrix polynomialasymptotic expression

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (7)

On aq-gamma and a q-beta matrix functions ⋮ On the hypergeometric matrix functions of two variables ⋮ Laguerre matrix polynomial series expansion: theory and computer applications ⋮ On the hypergeometric matrix functions of several variables ⋮ On generalized Laguerre matrix polynomials ⋮ On generalized Laguerre matrix polynomials ⋮ Coherent pairs and Sobolev-type orthogonal polynomials on the real line: an extension to the matrix case

Cites Work

• Laguerre matrix polynomials and systems of second-order differential equations
• Asymptotics of the modified Bessel and the incomplete gamma matrix functions
• The special functions and their approximations. Vol. I, II
• Logarithmic Norms for Matrix Pencils
• The growth of Laguerre matrix polynomials on bounded intervals.
• Asymptotic expressions of certain type of matrix integrals
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the asymptotics of Laguerre matrix polynomials for large \(x\) and \(n\)