Results 51 to 60 of about 732 (179)

On Second Hankel Determinant of the Class of Biunivalent Beta‐Convex Functions Related to a Five‐Leaf Domain

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In geometric function theory and complex analysis, analytic functions exhibiting geometric symmetry play a fundamental role. However, investigations concerning multileaf domains, particularly those with fivefold rotational symmetry, have been relatively limited.
Suad Al-Mayyahi, Sheza M. El-Deeb, Mohammad El-Ityan, Dalal Alhwikem, Feras Yousef   +4 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

Starlike functions of complex order involving q-hypergeometric functions with fixed point

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2014
Recently Kanas and Ronning introduced the classes of starlike and convex functions, which are normalized with f(ksi)=f'(ksi)-1=0, ksi (|ksi|=d) is a fixed point in the open disc U ={z C:|z| 1}.
Kaliappan Vijaya, Gangadharan Murugusundaramoorthy, Murugesan Kasthuri   +2 more
doaj  

Characterization of p-valent q-starlike functions through Hadamard product and Poisson distribution

Applied Mathematics in Science and Engineering
This paper presents significant advancement in the study of multivalent functions by introducing three new subclasses of p-valent q-starlike functions, defined with respect to higher-order q-derivatives within the open unit disk of the complex plane ...
Muhammad Uzair Shah, Bilal Khan, Manuela Oliveira, Serkan Araci   +3 more
doaj   +1 more source

Starlikeness associated with parabolic regions

International Journal of Mathematics and Mathematical Sciences, 2005
A parabolic starlike function f of order ρ in the unit disk is characterized by the fact that the quantity zf′(z)/f(z) lies in a given parabolic region in the right half-plane. Denote the class of such functions by PS∗(ρ).
Rosihan M. Ali
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

q‐Poisson and q‐Pascal Distribution Series for Analytic Function Classes

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we study analytic function classes defined by the q‐derivative and convolution operators generated by discrete q‐distributions. We first consider coefficient conditions for the class determined by a q‐derivative inequality and its negative‐coefficient subclass. We then investigate the q‐Poisson and q‐Pascal distribution series and derive
Serkan Çakmak, Sibel Yalçın, Smritijit Sen   +2 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

Some Geometric Characterizations of a Certain Class of Log-Harmonic Mappings

Mathematics
This article investigates structural properties of a class of log-harmonic mappings associated with starlike analytic functions in the unit disk. Beginning with a general representation of the log-harmonic mappings, we use sharp inequalities using ...
Madhusmita Mohanty, Bikash Chinhara, Ram Mohapatra   +2 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