Results 71 to 80 of about 16,584 (269)
Radii of Starlikeness Associated with the Lemniscate of Bernoulli and the Left-Half Plane
, 2011 A normalized analytic function f defined on the open unit disk in the complex plane is in the class SL if zf'(z)/f(z) lies in the region bounded by the right-half of the lemniscate of Bernoulli given by |w^2 - 1| < 1. In the present investigation, the SL-
Ali, Rosihan M. +2 more
core +1 more source
Subordination Properties of Bi‐Univalent Functions Involving Horadam Polynomials
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this research, we investigate a family of q‐extensions defined on an open unit disk, which is based on bi‐univalent functions associated with differential subordination. Next, we define certain classes of bi‐univalent functions using generalized Horadam polynomials.
Ebrahim Amini +2 more
wiley +1 more source
Spirallikeness of shifted hypergeometric functions
, 2016 In the present paper, we study spirallikenss (including starlikeness) of the shifted hypergeometric function $f(z)=z_2F_1(a,b;c;z)$ with complex parameters $a,b,c,$ where $_2F_1(a,b;c;z)$ stands for the Gaussian hypergeometric function. First, we observe
Sugawa, Toshiyuki, Wang, Li-Mei
core +1 more source
Sufficient Conditions for Strong Starlikeness [PDF]
Bulletin of the Iranian Mathematical Society, 2020 Let $p$ be an analytic function defined on the open unit disc $\mathbb{D}$ with $p(0)=1$ and $0< \leq 1$. The conditions on complex valued functions $C$, $D$ and $E$ are obtained for $p$ to be subordinate to $((1+z)/(1-z))^ $ when $C(z) z^{2}p''(z)+D(z)zp'(z) + E(z)p(z)=0$.
Nak Eun Cho +2 more
openaire +3 more sources
On a Subfamily of Analytic Functions Associated With q‐Sălăgean Operator
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we study a new subfamily of analytic functions associated with q‐Janowski function using q‐Sălăgean operator. We explore certain properties of the functions belonging to this new class which include sufficient condition, inclusion results, and coefficient estimate bounds for Fekete–Szegö functional. Several consequences of main results
Ihtesham Gul +6 more
wiley +1 more source
Integral Means and Arc length of Starlike Log-harmonic Mappings
Abstract and Applied Analysis, 2011 We use star functions to determine the integral means for starlike log-harmonic mappings. Moreover, we include the upper bound for the arc length of starlike log-harmonic mappings.
Z. Abdulhadi, Y. Abu Muhanna
doaj +1 more source
About a condition for starlikeness
Journal of Mathematical Analysis and Applications, 2007 AbstractA condition for starlikeness will be improved given by the inequality Re(f′(x)+αzf″(z))>0, z∈U, concerning analytic functions of the form f(z)=z+a2z2+⋯ which are defined on the unit disk U={z∈C:|z|
László-Róbert Albert, Róbert Szász
openaire +2 more sources
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
On Some Geometric Properties of Slice Regular Functions of a Quaternion Variable
, 2014 The goal of this paper is to introduce and study some geometric properties of slice regular functions of quaternion variable like univalence, subordination, starlikeness, convexity and spirallikeness in the unit ball.
Cartan H +11 more
core +1 more source
A Study of Some Families of Multivalent q-Starlike Functions Involving Higher-Order q-Derivatives
Mathematics, 2020 In the present investigation, by using certain higher-order q-derivatives, the authors introduce and investigate several new subclasses of the family of multivalent q-starlike functions in the open unit disk.
B. Khan +5 more
semanticscholar +1 more source