Results 51 to 60 of about 8,665 (174)

On the properties of a class of polyharmonic functions

Mathematical Modelling and Analysis, 2013
The aim of this paper is to investigate some motivated geometrical aspects and properties of polyharmonic functions (PH) including starlikeness, convexity and univalence. A polyharmonicity preserving complex operator is also introduced.
Suheil Khuri
doaj   +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

Geometric Properties of Partial Sums of Univalent Functions [PDF]

, 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  

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

Properties of a Class of Analytic Functions Influenced by Multiplicative Calculus

Fractal and Fractional
Motivated by the notion of multiplicative calculus, more precisely multiplicative derivatives, we used the concept of subordination to create a new class of starlike functions.
Kadhavoor R. Karthikeyan, Gangadharan Murugusundaramoorthy   +1 more
doaj   +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

Tarantula graphs are determined by their Laplacian spectrum

Electronic Journal of Graph Theory and Applications, 2021
A graph G is said to be determined by its Laplacian spectrum (DLS) if every graph with the same Laplacian spectrum is isomorphic to G. A graph which is a collection of hexagons (lengths of these cycles can be different) all sharing precisely one vertex ...
Reza Sharafdini, Ali Zeydi Abdian
doaj   +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

Certain Geometric Investigations of Three Normalized Bessel-Type Functions of a Complex Variable

Mathematics
We recall the normalized forms for the three Bessel-type functions; these functions are the Bessel function, Lommel function, and Struve function of the first kind. By using convolution, we define normalized forms.
Rabab Alyusof, Shams Alyusof, Rabha M. El-Ashwah, Alaa H. El-Qadeem   +3 more
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