On the explicit representation of polyorthogonal polynomials

DOI10.3103/S1066369X2104006XzbMath1472.41008OpenAlexW3164320217MaRDI QIDQ2041602

A. P. Starovoitov

Publication date: 23 July 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x2104006x

zbMATH Keywords

Hankel determinantPadé approximationsnormal indexperfect systempolyorthogonal polynomial

Mathematics Subject Classification ID

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) Padé approximation (41A21)

Related Items (3)

Analogs of Schmidt's formula for polyorthogonal polynomials of the first type ⋮ Polyorthogonalization in pre-Hilbert spaces ⋮ Polyorthogonalization of a function system

Cites Work

• Singular values of products of Ginibre random matrices, multiple orthogonal polynomials and hard edge scaling limits
• Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights
• Higher-order three-term recurrences and asymptotics of multiple orthogonal polynomials
• Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions
• Multiple orthogonal polynomials
• Semiclassical multiple orthogonal polynomials and the properties of Jacobi-Bessel polynomials
• The genetic sums' representation for the moments of a system of Stieltjes functions and its application
• Multiple orthogonal polynomials and a counterexample to the Gaudin Bethe Ansatz Conjecture
• A Note on the Irrationality of ζ(2) and ζ(3)
• Multiple orthogonal polynomials for classical weights
• Generalized analytic functions
• Orthogonality properties of 𝐶-fractions
• Some classical multiple orthogonal polynomials
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