Sharp estimation of the coefficients of bounded univalent functions close to identity

Lucjan Siewierski

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1971

Abstract

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CONTENTSIntroduction...............................................................................................................................................................................5Definitions and notation.........................................................................................................................................................7The main result........................................................................................................................................................................91. Forseeing the solution of the equation for the extremal function...............................................................................92. General properties..............................................................................................................................................................133. Approximate formulae for some expressions useful in the proof.............................................................................174. Situation of zeros of the functions 𝔐 ( w ) and 𝔑 ( z ) on the unit circumference..........785. Uniquenes of solution........................................................................................................................................................131References...............................................................................................................................................................................149

How to cite

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Lucjan Siewierski. Sharp estimation of the coefficients of bounded univalent functions close to identity. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1971. <http://eudml.org/doc/268375>.

@book{LucjanSiewierski1971,
abstract = {CONTENTSIntroduction...............................................................................................................................................................................5Definitions and notation.........................................................................................................................................................7The main result........................................................................................................................................................................91. Forseeing the solution of the equation for the extremal function...............................................................................92. General properties..............................................................................................................................................................133. Approximate formulae for some expressions useful in the proof.............................................................................174. Situation of zeros of the functions $\mathfrak \{M\}(w)$ and $\mathfrak \{N\}(z)$ on the unit circumference..........785. Uniquenes of solution........................................................................................................................................................131References...............................................................................................................................................................................149},
author = {Lucjan Siewierski},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Sharp estimation of the coefficients of bounded univalent functions close to identity},
url = {http://eudml.org/doc/268375},
year = {1971},
}

TY - BOOK
AU - Lucjan Siewierski
TI - Sharp estimation of the coefficients of bounded univalent functions close to identity
PY - 1971
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSIntroduction...............................................................................................................................................................................5Definitions and notation.........................................................................................................................................................7The main result........................................................................................................................................................................91. Forseeing the solution of the equation for the extremal function...............................................................................92. General properties..............................................................................................................................................................133. Approximate formulae for some expressions useful in the proof.............................................................................174. Situation of zeros of the functions $\mathfrak {M}(w)$ and $\mathfrak {N}(z)$ on the unit circumference..........785. Uniquenes of solution........................................................................................................................................................131References...............................................................................................................................................................................149
LA - eng
UR - http://eudml.org/doc/268375
ER -

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