Results 71 to 80 of about 11,578 (225)
Toeplitz Determinants for Inverse of Analytic Functions
MathematicsEstimates 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
Sharp inequalities for Hermitian Toeplitz determinants for strongly starlike and strongly convex functions [PDF]
, 2021 Bogumiła Kowalczyk +2 more
openalex +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we have studied the class Ccos of normalized analytic functions f satisfying 1 + zf″(z)/f′(z)≺cos(z). We present the improved coefficient bounds and the Hankel determinants of fourth order for functions lying in the class Ccos. We also extended the same results for the inverse function.
Umar Raza +3 more
wiley +1 more source
Application of Differential Subordinations to the Arithmetic–Geometric Means by Using an Operator
Journal of Mathematics, Volume 2025, Issue 1, 2025.This study investigates differential subordination involving arithmetic and geometric mean approaches associated with a previously introduced operator. While earlier studies considered cases where the dominant function was convex or linear, the present work extends these results by examining differential subordinations for specific classes of convex ...
Santosh Mandal +5 more
wiley +1 more source
MathematicsThe present study aims at investigating some characterizations of a new subclass Gα(μ,τ) and obtaining the bounds on the first two Taylor–Maclaurin coefficients for functions belonging to the newly introduced subclass.
Jamiu Olusegun Hamzat +3 more
doaj +1 more source
On the hadamard products of Schlicht functions and applications
International Journal of Mathematics and Mathematical Sciences, 1985 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
Edge‐minimum saturated k‐planar drawings
Journal of Graph Theory, Volume 106, Issue 4, Page 741-762, August 2024.Abstract For a class D of drawings of loopless (multi‐)graphs in the plane, a drawing D ∈ D is saturated when the addition of any edge to D results in D ′ ∉ D—this is analogous to saturated graphs in a graph class as introduced by Turán and Erdős, Hajnal, and Moon.
Steven Chaplick +4 more
wiley +1 more source
Approximation and geometric properties of some complex Bernstein-Stancu polynomials in compact disks
Journal of Numerical Analysis and Approximation Theory, 2007 In this paper, the order of simultaneous approximation, convergence results of the iterates and shape preserving properties, for complex Bernstein-Stancu polynomials (depending on one parameter) attached to analytic functions on compact disks are ...
Sorin G. Gal
doaj +2 more sources
On a subfamily of starlike functions related to Hyperbolic Cosine function [PDF]
, 2022 Mridula Mundalia, S. Sivaprasad Kumar
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Calculating functional diversity metrics using neighbor‐joining trees
Ecography, Volume 2024, Issue 7, July 2024.The study of functional diversity (FD) provides ways to understand phenomena as complex as community assembly or the dynamics of biodiversity change under multiple pressures. Different frameworks are used to quantify FD, either based on dissimilarity matrices (e.g. Rao entropy, functional dendrograms) or multidimensional spaces (e.g.
Pedro Cardoso +7 more
wiley +1 more source