Results 41 to 50 of about 7,251 (222)

Second Hankel determinant for bi-starlike and bi-convex functions of order \b{eta}

open access: yes, 2015
In the present investigation the authors obtain upper bounds for the second Hankel determinant of the classes bi-starlike and bi-convex functions of order beta.Comment: 8 pages, submitted to a ...
Deniz, Erhan   +2 more
core   +1 more source

q-STARLIKE FUNCTIONS OF ORDER ALPHA

open access: yesTWMS Journal of Applied and Engineering Mathematics, 2018
Summary: For all \(q\in(0,1)\) and \(0\leq ...
Uçar, Faruk   +2 more
openaire   +7 more sources

Study of (p, q)‐Symmetric Starlike Functions of Order η

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
In the field of geometric function theory, we use the (p, q)‐differential operator in the complex unit disk to describe a novel class Sp,q∗∗η of symmetrical starlike functions of order η. Several interesting properties of functions belonging to the class Sp,q∗∗η are examined, such as growth, distortion, and convolution characteristics.
Imran Khan   +4 more
wiley   +1 more source

On Subclasses of Spiral‐Like Functions Defined by the q‐Derivative Operator

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
In 1990, Ismail et al. introduced a generalized class of starlike functions using the q‐derivative operator. Similarly, many authors have studied various subclasses of analytic functions involving the q‐derivative operator from different perspectives. This paper is aimed at presenting new subclasses of analytic and spiral‐like functions related to the ...
Fatma Z. El-Emam   +2 more
wiley   +1 more source

Sharp inequalities for q-starlike functions associated with differential subordination and q-calculus

open access: yesAIMS Mathematics
This paper employs differential subordination and quantum calculus to investigate a new class of $ q $-starlike functions associated with an eight-like image domain.
Jianhua Gong   +3 more
doaj   +1 more source

Starlike and Convex Properties for Hypergeometric Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2008
The purpose of the present paper is to give some characterizations for a (Gaussian) hypergeometric function to be in various subclasses of starlike and convex functions. We also consider an integral operator related to the hypergeometric function.
Oh Sang Kwon, Nak Eun Cho
doaj   +1 more source

Closure properties of generalized λ-Hadamard product for a class of meromorphic Janowski functions

open access: yesAIMS Mathematics, 2021
In this paper, we introduce a class of meromorphic starlike function by subordination relationship and generalized λ-Hadamard product. We obtain the necessary and sufficient conditions and closure properties of the class. In addition, some new results of
Tao He, Shu-Hai Li , Li-Na Ma, Huo Tang
doaj   +1 more source

Straightforward Preparation of Polyurethane‐Based Biomaterials with Dual Antibacterial and Anti‐Adhesive Properties for Long‐Lasting Catheter Applications

open access: yesAdvanced Materials Interfaces, Volume 12, Issue 24, December 22, 2025.
This study presents the elaboration of antibacterial, antiadhesive, and antibiofilm polyurethane by a straightforward process based on the co‐extrusion of 2 wt.% of both antibacterial and antiadhesive copolymer. The material proves to be active even after pre‐exposition to biological media and prevents E. coli biofilm formation without toxicity.
Baptiste Caron   +6 more
wiley   +1 more source

Geometric Properties of Partial Sums of Univalent Functions [PDF]

open access: yes, 2012
The $n$th partial sum of an analytic function $f(z)=z+\sum_{k=2}^\infty a_k z^k$ is the polynomial $f_n(z):=z+\sum_{k=2}^n a_k z^k$. A survey of the univalence and other geometric properties of the $n$th partial sum of univalent functions as well as ...
Ravichandran, V.
core  

Cluster synchronization of starlike networks with normalized Laplacian coupling: master stability function approach

open access: yes, 2015
A generalized model of starlike network is suggested that takes into account non-additive coupling and nonlinear transformation of coupling variables. For this model a method of analysis of synchronized cluster stability is developed.
Kuptsov, Pavel V., Kuptsova, Anna V.
core   +1 more source

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