Power series expansion of a Hankel determinant

DOI10.1016/j.laa.2020.04.014zbMath1442.15009OpenAlexW3018303924MaRDI QIDQ2187382

Diego Ernesto Dominici

Publication date: 2 June 2020

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2020.04.014

zbMATH Keywords

orthogonal polynomialsYoung tableauxinteger partitionsHankel determinantsSchur polynomials

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05) Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (5)

Hankel determinants, Hahn polynomials, and a formula of Krattenthaler ⋮ Comparative asymptotics for discrete semiclassical orthogonal polynomials ⋮ Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials ⋮ Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials ⋮ Recurrence coefficients of Toda-type orthogonal polynomials I. Asymptotic analysis

Uses Software

• DLMF
• OPQ

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Polynomial sequences associated with the moments of hypergeometric weights
• Discrete semiclassical orthogonal polynomials of class one
• Orthogonal polynomials on a bi-lattice
• Slater determinants of orthogonal polynomials
• Determinants and their applications in mathematical physics
• On certain formulas of Karlin and Szegö
• Advanced determinant calculus
• Hankel determinants and orthogonal polynomials.
• Wronskian type determinants of orthogonal polynomials, Selberg type formulas and constant term identities
• Advanced determinant calculus: a complement
• On certain determinants whose elements are orthogonal polynomials
• The Derivative of a Determinant
• On the n-th Derivative of a Determinant of the j-th Order
• On the Evaluation of the Wronskian Determinant

This page was built for publication: Power series expansion of a Hankel determinant