Results 51 to 60 of about 6,249 (191)

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

Journal 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, Samar. M. Madian, Abdul Rauf Khan   +2 more
wiley   +1 more source

Weakly starlike meromorphic univalent functions [PDF]

Transactions of the American Mathematical Society, 1975
A weakly starlike meromorphic univalent function is one of the form f ( z ) = − ρ z g ( z ) [ ( z − ρ ) ( 1 − ρ z ) ] −
Libera, Richard J., Livingston, Albert E.   +1 more
openaire   +2 more sources

On Logarithmic and Inverse Coefficients for Sakaguchi‐Type Starlike Functions Subordinated to a Petal‐Shaped Domain

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, we study several important coefficient problems for the class Sp∗ of Sakaguchi‐type starlike functions subordinated to a petal‐shaped domain. We obtain a collection of sharp bounds that extend and refine known results in geometric function theory.
Adel A. Attiya, Mohammad El-Ityan, Muhammad Abbas, Muntasir Suhail, Daniel Breaz, Abdul Rauf Khan   +5 more
wiley   +1 more source

Starlike Functions With Respect to a Boundary Point Connected With Bounded Radius Rotation

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In the current article, we introduce a new subclass of univalent function Gμ with bounded radius rotation. For this new class, the authors establish many interesting relations between these classes and existing classes. Furthermore, authors try to find coefficient estimations for this new subclass.
Alhanouf Alburaikan, Prathviraj Sharma, S. Sivasubramanian, Jongsuk Ro, Sheza M. El-Deeb, Abdul Rauf Khan   +5 more
wiley   +1 more source

Unified Approach of the Logarithmic Coefficient Bounds for the Class of Bazilevic˘ Functions

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
The investigation of logarithmic coefficients in the theory of univalent functions began with Milin, who demonstrated their importance for understanding geometric features of these mappings through their connection with the Taylor coefficients hm. If S denotes the family of univalent functions on the unit disk D with the expansion hz=z+∑m=2∞hmzm, the ...
Ebrahim Analouei Adegani, Nafya Hameed Mohammed, Teodor Bulboacă, Giovanni Di Fratta   +3 more
wiley   +1 more source

A certain subclass of meromorphically q-starlike functions associated with the Janowski functions

Journal of Inequalities and Applications, 2019
In this paper, the authors introduce a new subclass of meromorphic q-starlike functions which are associated with the Janowski functions. A characterization of meromorphically q-starlike functions associated with the Janowski functions has been obtained ...
Shahid Mahmood, Qazi Zahoor Ahmad, H. M. Srivastava, Nazar Khan, Bilal Khan, Muhammad Tahir   +5 more
doaj   +1 more source

Initial Coefficient Bounds of Convex Functions Related to Pascal Snail Function

Journal of Mathematics, Volume 2026, Issue 1, 2026.
For −1 ≤ λ ≤ 1, let Cλ be a subclass of convex functions associated with the Pascal snail function, analytically defined by the subordination relation, (1 + τf″(τ)/f′(τ))≺1/(1 − λτ). In this article, we have presented the initial coefficient bounds for the functions f in the class Cλ. We have also established the bounds on the Hankel determinants |H2,1(
Arooj Fatima, Umar Raza, Afis Saliu, Tanweer Sohail, Mohammad W. Alomari   +4 more
wiley   +1 more source

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

Advanced 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, Marc Maresca, Amélie Leroux, Marie Lemesle, Jean Louis Coussegal, Yohann Guillaneuf, Catherine Lefay   +6 more
wiley   +1 more source

Fekete–Szegö Variations for Some New Classes of Analytic Functions Explained Over Poisson and Borel Distribution Series

Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9241-9252, 30 May 2025.
ABSTRACT The motivation of this paper is to explore and generalize Sakaguchi‐type functions, which play a significant role in geometric function theory. In this context, we introduce four new classes of analytic univalent functions: ℑΨ,tb,α,ρ,ℑϑb,α,ρ,ℑΘ,mb,α,ρ$$ {\Im}_{\Psi, t}^{b,\alpha, \rho },\kern0.3em {\Im}_{\vartheta}^{b,\alpha, \rho },\kern0.3em
Arzu Akgül
wiley   +1 more source

Growth Theorems for a Subclass of Strongly Spirallike Functions

Journal of Applied Mathematics, 2014
In this paper we consider a subclass of strongly spirallike functions on the unit disk D in the complex plane C, namely, strongly almost spirallike functions of type β and order α.
Yan-Yan Cui, Chao-Jun Wang, Si-Feng Zhu
doaj   +1 more source