Results 71 to 80 of about 7,251 (222)

Bi‐Starlike Function of Complex Order Involving Rabotnov Function Associated With Telephone Numbers

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Telephone numbers defined through the recurrence relation Qn=Qn−1+n−1Qn−2 for n ≥ 2, with initial values of Q0=Q1=1. The study of such numbers has led to the establishment of various classes of analytic functions associated with them. In this paper, we establish two new subclasses of bi‐convex and bi‐starlike functions of complex order in the open unit
Sa’ud Al-Sa’di, Kaliappan Vijaya, Gangadharan Murugusundaramoorthy, Ming-Sheng Liu   +3 more
wiley   +1 more source

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, Mohammed Ali Alamri, Khalida Inayat Noor, Saqib Hussain, Maslina Darus, Saima Noor, R. Sundareswaran   +6 more
wiley   +1 more source

A Novel Class of Starlike Functions [PDF]

, 2021
S. Sivaprasad Kumar, Shagun Banga
openalex   +1 more source

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 Certain Improvements on Coefficient Bounds for a Subclass of Convex Functions Associated With Cosine Functions

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, Mohsan Raza, Afis Saliu, Ming-Sheng Liu   +3 more
wiley   +1 more source

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
doaj   +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, Madan Mohan Soren, Fethiye Müge Sakar, Daniel Breaz, Luminiţa-Ioana Cotîrlǎ, Çetin Yildiz   +5 more
wiley   +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, Fabian Klute, Irene Parada, Jonathan Rollin, Torsten Ueckerdt   +4 more
wiley   +1 more source

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, Thomas Guillerme, Stefano Mammola, Thomas J. Matthews, Francois Rigal, Caio Graco‐Roza, Gunilla Stahls, Jose Carlos Carvalho   +7 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
doaj