Ahlfors type \(p\)-valent conditions for biharmonic functions
From MaRDI portal
Publication:6491652
DOI10.1016/J.JMAA.2024.128273MaRDI QIDQ6491652
JinHua Fan, Xiao Yuan Wang, Saminathan Ponnusamy
Publication date: 24 April 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
quasiconformal extensionmultivalent functionAhlfors's univalence conditionharmonic and biharmonic mapping
Functions of a complex variable (30-XX) Geometric function theory (30Cxx) Two-dimensional potential theory (31Axx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linear connectivity, Schwarz-Pick lemma and univalency criteria for planar harmonic mapping
- Properties of some classes of planar harmonic and planar biharmonic mappings
- One parameter family of univalent biharmonic mappings
- An extension of Becker's univalence condition
- Sufficient conditions for the univalence of quasiconformal mappings
- Uniformly locally univalent harmonic mappings associated with the pre-Schwarzian norm
- Criteria for univalency and quasiconformal extension for harmonic mappings
- Avkhadiev-Becker type univalence conditions for biharmonic mappings
- Avkhadiev-Backer type \(p\)-valent conditions for biharmonic functions
- Pre-schwarzian and Schwarzian derivatives of harmonic mappings
- Landau-type theorems for certain bounded biharmonic mappings
- Becker type univalence conditions for harmonic mappings
- Avkhadiev-Becker type \(p\)-valence conditions for harmonic mappings of a disc
- Singular measures and domains not of Smirnov type
- Quasiconformal extensions of biharmonic mappings and strongly starlike biharmonic mappings
- Quasiconformal extension of harmonic mappings in the plane
- A Uniqueness Theorem for Beltrami Equations
- Schlichtheitskriterien und Jordangebiete.
- QUASI-HADAMARD PRODUCT OF CERTAIN p-VALENT FUNCTIONS
- Harmonic univalent functions
- Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen.
- On Some Determinants Related to p-Valent Functions
- On the Schwarz-Christoffel Transformation and p-Valent Functions
- Application of Analytic Functions to Two-Dimensional Biharmonic Analysis
This page was built for publication: Ahlfors type \(p\)-valent conditions for biharmonic functions