Results 71 to 80 of about 4,110 (218)
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 subordination for certain subclass of analytic functions
In the present paper the class Pn[α,M] consisting of functions f(z)=z+∑k=n+1∞akzz(n≥1), which are analytic in the unit disc E={z:|z|
Liu Jinlin
doaj +1 more source
On multivalent starlike functions
We prove some new sufficient conditions for function to be p-valent, or p-valently starlike in the unit disc.
SOKÓŁ, Janusz, NUNOKAWA, Mamoru
core +1 more source
Subclasses of uniformly starlike functions [PDF]
We study subclasses of the class of uniformly starlike functions which were recently introduced by A.W. Goodman.
Ed Merkes, Mohammad Salmassi
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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
Toeplitz Determinants for Inverse of Analytic Functions
Estimates bounds for Carathéodory functions in the complex domain are applied to demonstrate sharp limits for the inverse of analytic functions. Determining these values is considered a more difficult task compared to finding the values of analytic ...
Sarem H. Hadi +4 more
doaj +1 more source
We introduce second Hankel determinant of biunivalent analytic functions associated with λ-pseudo-starlike function in the open unit disc Δ subordinate to a starlike univalent function whose range is symmetric with respect to the real axis.
K. Rajya Laxmi, R. Bharavi Sharma
core +1 more source
On a New Criterion for Meromorphic Starlike Functions [PDF]
The main purpose of this paper is to derive a new criterion for meromorphic starlike functions of order ...
Zhi-Gang Wang, Lei Shi
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Initial Coefficient Bounds of Convex Functions Related to Pascal Snail Function
For −1 ≤ λ ≤ 1, let Cλ be a subclass of convex functions associated with the Pascal snail function, analytically defined by the subordination relation, (1 + τf″(τ)/f′(τ))≺1/(1 − λτ). In this article, we have presented the initial coefficient bounds for the functions f in the class Cλ. We have also established the bounds on the Hankel determinants |H2,1(
Arooj Fatima +4 more
wiley +1 more source
On the hadamard products of Schlicht functions and applications
We show that each of the schlicht classes of starlike, convex, close-to-convex and strongly starlike with respect to symmetric points is invariant under the Hadamard product with the class of convex functions.
H. S. Al-Amiri
doaj +1 more source

