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A Bieberbach condition for a class of pseudo-analytic functions

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Publication:919138
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DOI10.1016/0022-247X(90)90325-AzbMath0706.30040OpenAlexW1975722104MaRDI QIDQ919138

W. J. Walker, Joel L. Schiff

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0022-247x(90)90325-a


zbMATH Keywords

Fourier expansionsLiouville's theoremYukawa equation\(\mu \) -regularityBieberbach type inequalitypanharmonic functionspseudo-analytic functions


Mathematics Subject Classification ID

Dirichlet series, exponential series and other series in one complex variable (30B50) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)


Related Items (2)

A Sampling Theorem for a Class of Pseudoanalytic Functions ⋮ Panharmonic functions: mean value properties and related topics




Cites Work

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  • A proof of the Bieberbach conjecture
  • Yukawan potential theory
  • Selected Topics from Pólya's Work in Complex Analysis




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