Results 71 to 80 of about 2,822,582 (218)
In geometric function theory and complex analysis, analytic functions exhibiting geometric symmetry play a fundamental role. However, investigations concerning multileaf domains, particularly those with fivefold rotational symmetry, have been relatively limited.
Suad Al-Mayyahi +4 more
wiley +1 more source
On a coefficient inequality for starlike functions
M. S. Robertson considered a coefficient inequality I I for starlike functions that, if true, would imply a generalized Bieberbach coefficient inequality B B for close to convex functions.
Roger W. Barnard
core +1 more source
Growth Theorems for a Subclass of Strongly Spirallike Functions
In this paper we consider a subclass of strongly spirallike functions on the unit disk D in the complex plane C, namely, strongly almost spirallike functions of type β and order α.
Yan-Yan Cui, Chao-Jun Wang, Si-Feng Zhu
doaj +1 more source
On Starlike and Close-to-Convex Functions [PDF]
Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135466/1/plms0290 ...
openaire +2 more sources
Unified Approach of the Logarithmic Coefficient Bounds for the Class of Bazilevic˘ Functions
The investigation of logarithmic coefficients in the theory of univalent functions began with Milin, who demonstrated their importance for understanding geometric features of these mappings through their connection with the Taylor coefficients hm. If S denotes the family of univalent functions on the unit disk D with the expansion hz=z+∑m=2∞hmzm, the ...
Ebrahim Analouei Adegani +3 more
wiley +1 more source
Persistent Conformal Geometry and Loewner Evolution
We introduce persistent conformal geometry, a framework connecting geometric function theory with topological data analysis. The method assigns to each normalized univalent mapping a scale‐dependent distortion field and studies the persistent homology of its sublevel‐set filtration. The resulting persistence diagrams record the appearance, interaction,
Isra Al-Shbeil +5 more
wiley +1 more source
On a subclass of n-starlike functions [PDF]
In 1999, Kanas and Rønning introduced the classes of starlike and convex functions, which are normalized with f(w)=f'(w)−1=0 and w a fixed point in U.
Shigeyoshi Owa, Mugur Acu
core +2 more sources
A challenging task in studying geometric function theory is determining the sharp estimates for coefficient‐related results that come up in the Taylor series of analytic univalent functions. In the current paper, we attempt to establish some estimates of results concerning coefficient inequalities for the class of convex functions with respect to ...
Isra Al-Shbeil +7 more
wiley +1 more source
Partial sums of starlike harmonic multivalent functions
In this paper, we study the ratio of starlike harmonic multivalent functions to its sequences of partial ...
Yalçın, Sibel, Yaşar, Elif
core +1 more source
Q-Starlike Functions of Order Alpha
For all q is an element of (0, 1) and 0 <= alpha < 1 we define a class of analytic functions, so-called q-starlike functions of order alpha on the open unit disc D = {z : vertical bar z vertical bar < 1}.
POLATOĞLU, YAŞAR +2 more
core +1 more source

