An extension of typically-real functions and associated orthogonal polynomials

DOI10.2478/V10062-011-0017-2zbMath1255.30021OpenAlexW2233320977MaRDI QIDQ2890385

Anna Tatarczak, Iwona Naraniecka, Jan Szynal

Publication date: 8 June 2012

Published in: Annales UMCS, Mathematica (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/874349b6498cb08c90a1900625ae393bff4cef16

zbMATH Keywords

Chebyshev polynomialsorthogonal 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) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (3)

An extension of the Chebyshev polynomials ⋮ Starlike functions associated with the generalized Koebe function ⋮ Coefficient inequalities related with typically real functions

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