Operator monotone functions, Jacobi operators and orthogonal polynomials

DOI10.1016/J.JMAA.2012.12.016zbMath1279.47047OpenAlexW2019875412MaRDI QIDQ1947437

Mitsuru Uchiyama

Publication date: 22 April 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.12.016

zbMATH Keywords

orthogonal polynomialsNevanlinna functionPick functionJacobi operatorLöwner theorem

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Monotonic functions, generalizations (26A48) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

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