Results 71 to 80 of about 1,163,094 (200)

On new subclass of meromorphically convex functions with positive coefficients [PDF]

Surveys in Mathematics and its Applications, 2019
In this paper we introduce and study a new subclass of meromorphically uniformly convex functions with positive coefficients defined by a differential operator and obtain coefficient estimates, growth and distortion theorem, radius of convexity, integral
B. Venkateswarlu , P. Thirupathi Reddy, N. Rani   +2 more
doaj  

On Janowski functions associated with (n,m)-symmetrical functions

Journal of Taibah University for Science, 2019
The aim in the present work is to introduce and study new subclasses of analytic functions that are defined by using the generalized classes of Janowski functions combined with the $(n,m) $-symmetrical functions, that generalize many others defined by ...
Fuad Alsarari, Satyanarayana Latha, Teodor Bulboacă   +2 more
doaj   +1 more source

Robin functions and distortion theorems for regular mappings [PDF]

arXiv, 2007
Capacities of generalized condensers are applied to prove a two-point distortion theorem for conformal mappings. The result is expressed in terms of the Robin function and the Robin capacity with respect to the domain of definition of the mapping and subsets of the boundary of this domain.
arxiv  

Distortion Theorems in the Theory of Schlicht Functions [PDF]

, 1950
Shohei Nagura, Yûsaku Komatu
openalex   +1 more source

A Subclass of Analytic Functions Related to k-Uniformly Convex and Starlike Functions

Journal of Function Spaces, 2017
We investigate some subclasses of k-uniformly convex and k-uniformly starlike functions in open unit disc, which is generalization of class of convex and starlike functions.
Saqib Hussain, Akhter Rasheed, Muhammad Asad Zaighum, Maslina Darus   +3 more
doaj   +1 more source

A Distortion Theorem for Analytic Maps of Annuli [PDF]

, 1965
Charles Castonguay, H. G. Helfenstein
openalex   +1 more source

A study on certain class of harmonic functions of complex order associated with convolution

Le Matematiche, 2012
In this paper, we introduce a new class of harmonic functions of complex order associated with convolution. We also derive the coefficient inequality, distortion theorem, extreme points, convolution conditions and convex combination for this class.
M. K. Aouf, A. O. Mostafa, A. A. Shamandy, A. K. Wagdy   +3 more
doaj  

Convex functions and the rolling circle criterion

International Journal of Mathematics and Mathematical Sciences, 1995
Given 0≤R1≤R2≤∞, CVG(R1,R2) denotes the class of normalized convex functions f in the unit disc U, for which ∂f(U) satisfies a Blaschke Rolling Circles Criterion with radii R1 and R2.
V. Srinivas, O. P. Juneja, G. P. Kapoor
doaj   +1 more source

Some distortion theorems related to an invariant metric in C² [PDF]

, 1967
Stefan Bergman
openalex   +1 more source

A distortion theorem for the iterated inverse branches of a holomorphic endomorphism of CP(k) [PDF]

arXiv, 2017
We linearize the inverse branches of the iterates of holomorphic endomorphisms of CP(k) and thus overcome the lack of Koebe distortion theorem in this setting when k $\ge$ 2. We review several applications of this result in holomorphic dynamics.
arxiv