Results 11 to 20 of about 27 (27)

A factorization theorem for Logharmonic mappings

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 14, Page 853-856, 2003., 2003
We give the necessary and sufficient condition on sense‐preserving logharmonic mapping in order to be factorized as the composition of analytic function followed by a univalent logharmonic mapping.
Zayid Abdulhadi, Yusuf Abumuhanna
wiley   +1 more source

On some new properties of the spherical curvature of stereographically projected analytic curves

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 26, Page 1633-1644, 2003., 2003
We discover new information about the spherical curvature of stereographically projected analytic curves. To do so, we first state formulas for the spherical curvature and spherical torsion of the curves on S2 which result after stereographically projecting the image curves of analytic, univalent functions belonging to the class 𝒮.
Stephen M. Zemyan
wiley   +1 more source

Typically real logharmonic mappings

International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 1, Page 1-9, 2002., 2002
We consider logharmonic mappings of the form f(z)=z|z| 2βhg¯ defined on the unit disk U which are typically real. We obtain representation theorems and distortion theorems. We determine the radius of univalence and starlikeness of these mappings. Moreover, we derive a geometric characterization of such mappings.
Zayid Abdulhadi
wiley   +1 more source

A note on logharmonic mappings

International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 7, Page 449-451, 2002., 2002
We consider the problem of minimizing the moments of order p for a subclass of logharmonic mappings.
Zayid Abdulhadi
wiley   +1 more source

On radii of starlikeness and convexity for convolutions of starlike functions

International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 403-404, 1997., 1995
In this paper, we obtain the radiuses of univalence, starlikeness and convexity for convolutions of starlike functions.
Yi Ling, Shusen Ding
wiley   +1 more source

Extreme points and convolution properties of some classes of multivalent functions

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 381-388, 1996., 1991
This paper deals with the extreme points of closed convex hulls of the classes of multivalent functions related to Ruscheweyh derivatives and then these are used to determine the coefficient bounds. Finally, we investigate convolution conditions and other properties of the functions in these classes.
O. P. Ahuja
wiley   +1 more source

Close‐to‐starlike logharmonic mappings

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 563-573, 1996., 1994
We consider logharmonic mappings of the form defined on the unit disc U which can be written as the product of a logharmonic mapping with positive real part and a univalent starlike logharmonic mapping. Such mappings will be called close‐to‐starlike logharmonic mappings. Representation theorems and distortion theorems are obtained.
Zayid Abdulhadi
wiley   +1 more source

A new criterion for starlike functions

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 613-614, 1996., 1995
In this paper we shall get a new criterion for starlikeness, and the hypothesis of this criterion is much weaker than those in [1] and [2].
Ling Yi, Shusen Ding
wiley   +1 more source

Univalent functions maximizing Re[f(ζ1) + f(ζ2)]

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 789-795, 1996., 1995
We study the problem maxh∈Sℜ[h(z1) + h(z2)] with z1, z2 in Δ. We show that no rotation of the Koebe function is a solution for this problem except possibly its real rotation, and only when or z1, z2 are both real, and are in a neighborhood of the x‐axis.
Intisar Qumsiyeh Hibschweiler
wiley   +1 more source

Convex functions and the rolling circle criterion

International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 4, Page 799-811, 1995., 1993
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. Necessary and sufficient conditions for R1 = R2, growth and distortion theorems for CVG(R1, R2) and rotation theorem for the class of convex functions of bounded ...
V. Srinivas, O. P. Juneja, G. P. Kapoor
wiley   +1 more source