Linearly-invariant families and generalized Meixner-Pollaczek polynomials

DOI10.2478/v10062-012-0021-1zbMath1433.33005OpenAlexW1988073205MaRDI QIDQ2442920

Jan Szynal, Anna Tatarczak, Iwona Naraniecka

Publication date: 2 April 2014

Published in: Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/v10062-012-0021-1

zbMATH Keywords

orthogonal polynomialsMeixner-Pollaczek polynomialsunivalent functionstypically-real functionslocal univalence

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) 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)

Cites Work

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• Über positive harmonische Entwicklungen und typisch-reelle Potenzreihen
• The symmetric Meixner-Pollaczek polynomials with real parameter
• The Gegenbauer polynomials and typically real functions
• Linear-invariante Familien analytischer Funktionen. I
• On Sieved Orthogonal Polynomials I: Symmetric Pollaczek Analogues
• Meixner–Pollaczek polynomials and the Heisenberg algebra
• On the coefficients of a typically-real function

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