Results 71 to 80 of about 7,296 (239)
Boundary Behavior of Starlike Functions [PDF]
Proceedings of the American Mathematical Society, 1972 For a starlike function f, we impose a geometric condition on the image of the open unit disc by the mapping w = z f ′ ( z ) / f ( z ) w = zf’(z)/f(z) to insure that f be one-to-one on the closed unit disc ...
openaire +2 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
Some Geometric Characterizations of a Certain Class of Log-Harmonic Mappings
MathematicsThis article investigates structural properties of a class of log-harmonic mappings associated with starlike analytic functions in the unit disk. Beginning with a general representation of the log-harmonic mappings, we use sharp inequalities using ...
Madhusmita Mohanty +2 more
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The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex Functions
International Journal of Mathematics and Mathematical Sciences, 2011 For p-valently Janowski starlike and convex functions defined by applying subordination for the generalized Janowski function, the sharp upper bounds of a functional |ap+2−μa2p+1| related to the Fekete-Szegö problem are given.
Toshio Hayami, Shigeyoshi Owa
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A Novel Class of Starlike Functions [PDF]
, 2021 S. Sivaprasad Kumar, Shagun Banga
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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
Sakaguchi Type Starlike Functions Related with Miller-Ross-Type Poisson Distribution in Janowski Domain [PDF]
, 2023 Sheza M. El-Deeb +2 more
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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
Parabolic starlike mappings of the unit ball $B^n$ [PDF]
Sahand Communications in Mathematical Analysis, 2016 Let $f$ be a locally univalent function on the unit disk $U$. We consider the normalized extensions of $f$ to the Euclidean unit ball $B^nsubseteqmathbb{C}^n$ given by$$Phi_{n,gamma}(f)(z)=left(f(z_1),(f'(z_1))^gammahat{z}right),$$ where $gammain[0,1/2]$,
Samira Rahrovi
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