Results 81 to 90 of about 1,183 (204)
Distortion theorems of plane quasiconformal mappings
, 2006 The authors prove a conjecture on elliptic integrals and obtain sharp bounds for φK(r) and λ(K). By using Teichmüller's module theorem, the authors obtain a distortion theorem of K-quasiconformal mappings on the ...
Chu, Yuming +3 more
core +1 more source
Classes of Meromorphic Functions Defined by the Hadamard Product
International Journal of Mathematics and Mathematical Sciences, 2010 The object of the present paper is to introduce new classes of meromorphic functions with varying argument of coefficients defined by means of the Hadamard product (or convolution).
J. Dziok
doaj +1 more source
Mappings with bounded (P,Q)-distortion on Carnot groups
, 2010 We study mappings with bounded (p,q)-distortion associated to Sobolev spaces on Carnot groups. Mappings of such type have applications to the Sobolev type embedding theory and classification of manifolds.
Vodop'yanov, S.K., Ukhlov, A.
core +1 more source
The bounded and thin Whitehead theorems
, 1993 This paper deals with finite-dimensional CW complexes equipped with reference maps to a fixed metric space and maps between such complexes that respect the reference maps up to a bounded distortion.
Hans Jørgen Munkholm +1 more
core +1 more source
New distortion theorems for Sakaguchi functions
, 2007 Let A be the class of functions f (z) of the form f (z) = z + Sigma(infinity)(k=2), a(k)z(k) that are analytic in the open unit disk D = {(z) epsilon C | |z| < 1} in 1959, K.
POLATOĞLU, YAŞAR, Çağlar, Mert
core
Some properties of generalized two-fold symmetric non-Bazilevic analytic functions
Le Matematiche, 2014 In this paper, we introduce a new class of generalized two-fold symmetric non-Bazilevic functions analytic in the unit disc E. We prove such results as subordination and superordination properties, convolution properties, distortion theorems, and ...
Ali Muhammad, Muhammad Marwan
doaj
Liouville type theorems for mappings with bounded (co)-distortion [PDF]
We obtain Liouville type theorems for mappings with bounded $s$-distorsion between Riemannian manifolds. Besides these mappings, we introduce and study a new class, which we call mappings with bounded $q$-codistorsion.GR-TRClass.
Vodop'yanov, Sergei, Troyanov, Marc
core +1 more source
A class of distortion theorems involving certain operators of fractional calculus
, 2009 The object of the present paper is to investigate a general class of fractional integral operators involving the Gauss hypergeometric function. Several interesting distortion theorems for various sub-classes of analytic and univalent functions are proved
Saigo, Megumi +2 more
core
Classes of Harmonic Functions Defined by Subordination
Abstract and Applied Analysis, 2015 New classes of univalent harmonic functions are introduced. We give sufficient coefficient conditions for these classes. These coefficient conditions are shown to be also necessary if certain restrictions are imposed on the coefficients of these harmonic
Jacek Dziok
doaj +1 more source
New classification of analytic functions with negative coefficients
International Journal of Mathematics and Mathematical Sciences, 1988 New classification of analytic functions with negative coefficients is given by using the coefficients inequality, that is, new subclass A(p,n,Bk) of analytic functions with negative coefficient is defined.
Shigeyoshi Owa, Milutin Obradovic
doaj +1 more source