Orthogonal polynomials associated with some Jacobi-type pencils

DOI10.1007/S11253-017-1300-3zbMath1499.42124arXiv1508.01794OpenAlexW2598086313MaRDI QIDQ1729551

Sergey M. Zagorodnyuk

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.01794

zbMATH Keywords

generalization of orthonormal polynomials

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)

Related Items (4)

Difference equations related to Jacobi-type pencils ⋮ The inverse spectral problem for Jacobi-type pencils ⋮ On series of orthogonal polynomials and systems of classical type polynomials ⋮ On the orthogonality of partial sums of generalized hypergeometric series

Cites Work

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• On generalized Jacobi matrices and orthogonal polynomials
• On an inverse spectral problem for a quadratic Jacobi matrix pencil
• Spectral theory of operator pencils, Hermite-Biehler functions, and their applications
• Bannai-Ito polynomials and dressing chains
• The Analytic Theory of Matrix Orthogonal Polynomials
• On polynomials orthogonal on several segments with indefinite weight

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