An extension of Becker's univalence condition

DOI10.1007/BF01431098zbMath0318.30015MaRDI QIDQ1222252

Stephan Ruscheweyh

Publication date: 1976

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162828

Mathematics Subject Classification ID

General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (18)

Becker type univalence conditions for harmonic mappings ⋮ \(p\)-subordination chains and \(p\)-valence criteria ⋮ Univalence criteria for meromorphic functions and quasiconformal extensions ⋮ Avkhadiev-Becker type \(p\)-valence conditions for harmonic mappings of a disc ⋮ Univalence criteria starting from the method of Loewner chains ⋮ LOEWNER CHAINS AND UNIVALENCE CRITERIA RELATED WITH RUSCHEWEYH AND SĂLĂGEAN DERIVATIVES ⋮ Boundedness, univalence and quasiconformal extension of Robertson functions ⋮ Univalence criterion for meromorphic functions and Loewner chains ⋮ Sufficient conditions for the finite-valence of analytic functions and their applications ⋮ p-Subordination chains and p-valence integral operators ⋮ Avkhadiev-Becker type univalence conditions for biharmonic mappings ⋮ Löwner chains with complex leading coefficient ⋮ A generalization of Ruscheweyh's univalence criterion ⋮ Avkhadiev-Backer type \(p\)-valent conditions for biharmonic functions ⋮ Sufficient conditions for univalence and quasiconformal extensions ⋮ Univalence criteria and quasiconformal extension of a general integral operator ⋮ Explicit quasiconformal extensions and Löwner chains ⋮ Some sufficient conditions for the univalence of an integral operator

Cites Work

• Univalent functions \(f(z)\) for which \(zf'(z)\) is spirallike
• Löwnersche Differentialgleichung und Schlichtheitskriterien
• On a Subclass of Bazilevic Functions
• Univalence of the Integral of f ′(z)^λ
• Über die Lösungsstruktur einer Differentialgleichung in der konformen Abbildung.
• Über die Subordination analytischer Funktionen.
• Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen.

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