The radius of univalence of the error function

DOI10.1007/BF01386375zbMath0086.06203MaRDI QIDQ5895777

John Todd, Erwin Kreyszig

Publication date: 1959

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131421

zbMATH Keywords

complex functions

Related Items (7)

On the order of starlikeness of hypergeometric functions ⋮ Carathéodory properties of Gaussian hypergeometric function associated with differential inequalities in the complex plane ⋮ Normalized generalized Bessel function and its geometric properties ⋮ Geometric properties for convolutions of hypergeometric functions and functions with the derivative in a halfplane ⋮ Univalence of Gaussian and Confluent Hypergeometric Functions ⋮ A coefficient inequality for Bloch functions with applications to uniformly locally univalent functions ⋮ The radius of univalence of the function exp \(z^2 \int_0^z\) exp \((-t^2) dt\)

Cites Work

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• On Umezawa's criteria for univalence
• Höhenkarte des Fehlerintegrals
• The Schwarzian derivative and schlicht functions
• Formulas for Finding the Argument for which a Function has a Given Derivative
• Formulas for Calculating the Error Function of a Complex Variable
• A Table of √(½π)e ^{½iπρ 2} ∫ _ρ ^∞ e ^{-½iπλ 2} dλ for Complex Values of ρ
• An approximate method for calculating heat flow in an infinite medium heated by a cylinder

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