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Certain convex harmonic functions
International Journal of Mathematics and Mathematical Sciences, 2002 We define and investigate a family of complex-valued harmonic convex univalent functions related to uniformly convex analytic functions. We obtain coefficient bounds, extreme points, distortion theorems, convolution and convex combinations for this ...
Yong Chan Kim +2 more
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On Certain Subclasses of Analytic Functions Defined by Differential Subordination
International Journal of Mathematics and Mathematical Sciences, 2011 We introduce and study certain subclasses of analytic functions which are defined by differential subordination. Coefficient inequalities, some properties of neighborhoods, distortion and covering theorems, radius of starlikeness, and convexity for these
Hesam Mahzoon
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Harmonic Starlike Functions with Respect to Symmetric Points
Axioms, 2019 In the paper we define classes of harmonic starlike functions with respect to symmetric points and obtain some analytic conditions for these classes of functions.
Nak Eun Cho, Jacek Dziok
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The Distortion Theorem for quasiconformal mappings, Schottky’s Theorem and holomorphic motions [PDF]
Proceedings of the American Mathematical Society, 1997 We prove the equivalence of Schottky’s theorem and the distortion theorem for planar quasiconformal mappings via the theory of holomorphic motions. The ideas lead to new methods in the study of distortion theorems for quasiconformal mappings and a new proof of Teichmüller’s distortion theorem.
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A Sharp Form of the Ahlfors' Distortion Theorem, with Applications [PDF]
Transactions of the American Mathematical Society, 1984 The constant appearing in the asymptotic version of the Ahlfors’ distortion theorem is 1 1 . Also it is shown that for mean
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Journal of Mathematics, 2023 The objective of the current paper is to find the necessary and sufficient condition for the function to belong to the subclass of Cd,δ,μ,β of analytic functions involving the Poisson distribution defined by the p,q derivative operator.
S. Santhiya, K. Thilagavathi
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Subclass of Multivalent -Uniformly Functions with Varying Arguments
Journal of Mathematics, 2013 We introduce a class of multivalent -uniformly functions with varying arguments, give some properties of functions in this class, and obtain sharp results including coefficient estimates and distortion theorems.
R. M. El-Ashwah +3 more
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On a new class of p-valent functions with negative coefficients defined by convolution
Le Matematiche, 2015 In this paper, we introduce a new class of analytic p-valent functions defined in the open unit disc by using convolution and obtain some results including coefficient inequality, distortion theorems, Hadamard products, radii of starlikeness and ...
M. K. Aouf +3 more
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Tikrit Journal of Pure Science, 2023 In this paper, we have introduced two subclasses and of meromorphically p-valent functions with positive and negative coefficients, defined by differential operator in the punctured unit disk and obtain some sharp results including coefficient ...
Hazha Zirar Hussain
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Distortion theorems in the class Kn(D)
Demonstratio Mathematica, 2008 AbstractThis article presents the analysis of properties of functions belonging to the class KThe subclass K̃The author touches classical and at the same time urgent questions, arising at the study of analytical functions, belonging to some class.
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