Old and new order of linear invariant family of harmonic mappings and the bound for Jacobian

Magdalena Sobczak-Kneć, Виктор Васильевич Старков, Jan Szynal

Type: Article

Publication Date: 2011-01-01

Citations: 9

DOI: https://doi.org/10.17951/a.2011.65.2.191-202

View Publication

Locations

Annales Umcs, Mathematica - View

Similar Works

Action	Title	Year	Authors
+	Old and new order of linear invariant family of harmonic mappings and the bound for Jacobian	2011	Magdalena Sobczak-Kneć Виктор Васильевич Старков Jan Szynal
+ PDF Chat	Affine and linear invariant families of harmonic mappings	2016	Martin Chuaqui Rodrigo Hernández María J. Martín
+	Affine and linear invariant families of harmonic mappings	2014	Martin Chuaqui Rodrigo Hernández María José Martín
+	Affine and linear invariant families of harmonic mappings	2014	Martin Chuaqui Rodrigo Hernández María J. Martín
+	Univalent Relation between Harmonic Mapping and Its Shear Function	2013	Xinzhong Huang
+	Order of linearly invariant family of mappings in	2000	Janusz Godula Piotr Liczberski Victor V. Starkov
+	Harmonic pre-Schwarzian and its applications	2019	Gang Liu Saminathan Ponnusamy
+	Harmonic pre-Schwarzian and its applications	2017	Gang Liu Saminathan Ponnusamy
+ PDF Chat	Some Classes of Harmonic Mapping with a Symmetric Conjecture Point Defined by Subordination	2019	Lina Ma Shu-Hai Li Xiao-Meng Niu
+ PDF Chat	The Properties of a New Subclass of Harmonic Univalent Mappings	2013	Zhihong Liu Ying-Chun Li
+	On Differential Equations for Non-Trivial Bilateral Univalent Harmonic Mappings	2012	Xinzhong Huang
+	ON THE SCHWARZIAN NORM OF HARMONIC MAPPINGS	2016	S. Yu. Graf
+	Lower and upper order of harmonic mappings	2021	Arbeláez Hernández Willy Sierra
+	Index and stability of harmonic Gauss maps	1991	Bennett Palmer
+	Harmonic quasiconformal mappings on the upper half-plane	2011	Xinzhong Huang
+ PDF Chat	Lower and upper order of harmonic mappings	2021	Hugo Arbeláez Rodrigo Hernández Willy Sierra
+	On the Linear Combinations of Slanted Half-Plane Harmonic Mappings	2019	Ahmad Zireh Mohammad Mehdi Shabani
+	On Linear Combinations Of Harmonic Mappings Convex In The Horizontal Direction	2024	Elif Yaşar
+	Bounds for Jacobian of harmonic injective mappings in n-dimensional space	2015	Vladimir Božin Miodrag Mateljević
+	Bounds for Jacobian of harmonic injective mappings in n-dimensional space	2015	Vladimir Božin Miodrag Mateljević

Works That Cite This (9)

Action	Title	Year	Authors
+	Harmonic mappings onto R-convex domains	2019	S. Yu. Graf
+ PDF Chat	Lower and upper order of harmonic mappings	2021	Hugo Arbeláez Rodrigo Hernández Willy Sierra
+ PDF Chat	Radii of covering disks for locally univalent harmonic mappings	2016	S. Yu. Graf Saminathan Ponnusamy Victor V. Starkov
+ PDF Chat	Absolutely convex, uniformly starlike and uniformly convex harmonic mappings	2016	Saminathan Ponnusamy Anbareeswaran Sairam Kaliraj Victor V. Starkov
+	Linear connectivity, Schwarz–Pick lemma and univalency criteria for planar harmonic mapping	2016	Shao Lin Chen Saminathan Ponnusamy Antti Rasila Xian Tao Wang
+	Nehari Type Theorems and Uniform Local Univalence of Harmonic Mappings	2019	S. Yu. Graf
+ PDF Chat	Coefficients of univalent harmonic mappings	2017	Saminathan Ponnusamy Anbareeswaran Sairam Kaliraj Victor V. Starkov
+	Lower and upper order of harmonic mappings	2021	Arbeláez Hernández Willy Sierra
+	Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings	2018	Rodrigo Hernández Osvaldo Venegas

Works Cited by This (5)

Action	Title	Year	Authors
+	Harmonic Mappings in the Plane	2004	Peter Duren
+	Constants for Planar Harmonic Mappings	1990	T. Sheil-Small
+	Linear-invariante Familien analytischer Funktionen II	1964	Christian Pommerenke
+	Subordination of planar harmonic functions	2000	Lisbeth E. Schaubroeck
+	Order of linearly invariant family of mappings in	2000	Janusz Godula Piotr Liczberski Victor V. Starkov