Results 41 to 50 of about 751 (134)

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

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

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

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

On the Eccentric Spectra of the Line Graph of Starlike Trees

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
A tree is called starlike if it has exactly one vertex with a degree greater than two. In this paper, we determine the eccentricity spectrum of the line graphs of starlike trees and compute their eccentric energy. Furthermore, we establish that the eccentricity matrix of the line graph of any starlike tree is irreducible.
S. Balamoorthy, S. V. Bharanedhar, Yilun Shang, R. Gurusamy, Palanivel M   +4 more
wiley   +1 more source

Certain Constraints for Functions Provided by Touchard Polynomials

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
Since finding solutions to integral equations is usually challenging analytically, approximate methods are often required, one of which is based on Touchard polynomials. This paper examines the necessary constraints for the functions Ϝετς,Πε,τ,ςℏ, and the integral operator Lετς, defined by Touchard polynomials, to be in the comprehensive subclass ∁η(q3,
Tariq Al-Hawary, Mohamed Illafe, Feras Yousef, Shikha Binwal   +3 more
wiley   +1 more source

On the hadamard products of Schlicht functions and applications

International Journal of Mathematics and Mathematical Sciences, 1985
We show that each of the schlicht classes of starlike, convex, close-to-convex and strongly starlike with respect to symmetric points is invariant under the Hadamard product with the class of convex functions.
H. S. Al-Amiri
doaj   +1 more source

Inclusion Theorems of Certain Integral Transform Related to Normalized Hypergeometric Functions and Generalized Bessel Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This study explores the geometric properties of normalized Gaussian hypergeometric functions in a certain subclass of analytic functions. This work investigates the inclusion properties of integral operators associated with generalized Bessel functions of the first kind.
Manas Kumar Giri, Raghavendar K., Teodor Bulboaca   +2 more
wiley   +1 more source

Geometric Properties of New Subclasses of Meromorphic Harmonic Functions Associated With Janowski Functions Defined by q‐Calculus

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This paper establishes new applications of q‐calculus for meromorphic harmonic functions, utilizing concepts of convolutions, subordination, and the q‐difference operator. We introduce the q‐Ruscheweyh‐type derivative operator for meromorphic harmonic functions and utilize it to define and explore novel subclasses related to Janowski functions.
Ahmad A. Abubaker, Abdul Rauf Khan
wiley   +1 more source