On the nested sums and orthogonal polynomials

DOI10.1080/03081087.2011.641544zbMath1259.33017OpenAlexW2093923676MaRDI QIDQ5200334

No author found.

Publication date: 5 November 2012

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

Full work available at URL: https://doi.org/10.1080/03081087.2011.641544

zbMATH Keywords

orthogonal polynomialscombinatorial identitiesdifference equationsthree-term recurrence relationscompact representationsnested sums

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Determinants, permanents, traces, other special matrix functions (15A15) 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) Special sequences and polynomials (11B83)

Related Items (4)

On another approach for a family of Appell polynomials ⋮ On compact representations for the solutions of linear difference equations with variable coefficients ⋮ A note on representations for the inverses of tridiagonal matrices ⋮ Matrix computations with the Omega calculus

Cites Work

• Two applications of the subnormality of the Hessenberg matrix related to general orthogonal polynomials
• The Bessel polynomials
• On the solution of a second order linear homogeneous difference equation with variable coefficients
• Recursive relations, Jacobi matrices, moment problems and continued fractions
• Legendre polynomials, Legendre--Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression
• Solving parameterized linear difference equations in terms of indefinite nested sums and products
• The inverse of a tridiagonal matrix

This page was built for publication: On the nested sums and orthogonal polynomials