Results 41 to 50 of about 580,998 (225)

On a family of bi-univalent functions related to the Fibonacci numbers

Mathematica Moravica, 2022
In this study, we construct a new family of holomorphic biunivalent functions in the open unit disc by the help of q-analogue of Noor integral operator, principle of subordination and Fibonacci polynomials. Also we obtain coefficient bounds and Fekete Szegö inequality for functions belonging this family.
openaire   +4 more sources

Circularly Polarized Luminescent and Melt‐Processable Copper(I)‐Organic Glasses Based on 2,2′‐Bis(diphenylphosphino)‐1,1′‐binaphthyl

Angewandte Chemie, EarlyView.
Homochiral Cu(I) cyanide complexes based on 2,2’‐bis(diphenylphosphino)‐1,1’‐binaphthyl (BINAP) form melt‐quenched and desolvation‐derived metal–organic glasses that exhibit circularly polarized thermally activated delayed fluorescence (TADF) at room temperature, enabling processable chiroptical materials.
Zeyu Fan, Indranil Sen, Roman Pallach, Guo‐Qiang Li, Andreas Steffen, Sebastian Henke   +5 more
wiley   +2 more sources

Bounds For the Coefficients of Two New Subclasses of Bi-Univalent Functions

Science Journal of University of Zakho, 2022
This article discusses two new subclasses of the bi-univalent functions category ∑ in the open unit disk . The primary goal of the article is to obtain estimations of the coefficients  and for the functions that are within these two new subclasses.
khalid Ibrahim Abdullah, Nafya H. Mohammed   +1 more
doaj   +1 more source

Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series [PDF]

Sahand Communications in Mathematical Analysis
The present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT).
Tunji Ibrahim Awolere, Abiodun Tinuoye Oladipo, Şahsene Altınkaya   +2 more
doaj   +1 more source

Fekete–Szegö Inequality for Bi-Univalent Functions Subordinate to Horadam Polynomials

Journal of Function Spaces, 2022
Making use of Horadam polynomials, we propose a special family of regular functions of the type gz=z+∑j=2∞djzj which are bi-univalent (or bi-schlicht) in the disc z∈ℂ ...
Amnah E. Shammaky, Basem Aref Frasin, Sondekola Rudra Swamy   +2 more
doaj   +1 more source

Cofficient estimates for a general Subclass of bi-univalent functions

Boletim da Sociedade Paranaense de Matemática, 2022
‎In this paper‎, ‎we introduce and investigate an interesting subclass‎ ‎${\cal{S}}^{h,p}_{\Sigma}(A,B,C,\lambda)$ of bi-univalent functions in the open unit disk $\mathbb{U}$‎. ‎Furthermore‎, ‎we find estimates on the $|a_2|$ and $|a_3|$‎ ‎coefficients for functions in this subclass‎. ‎The coefficient bounds presented here generalize some recent works
openaire   +3 more sources

Second Hankel Determinant for a New Subclass of Bi-Univalent Functions Related to the Hohlov Operator

Axioms, 2023
A new subclass of bi-univalent functions associated with the Hohlov operator is introduced. Certain properties such as the coefficient bounds, Fekete-Szegö inequality and the second Hankel determinant for functions in the subclass are obtained.
Likai Liu, Jie Zhai, Jin-Lin Liu
doaj   +1 more source

Coefficient estimates and Fekete-Szegö functional for subclasses of bi-univalent functions with respect to symmetric points associated with Gegenbauer polynomials [PDF]

Mathematica Bohemica
In the present article, the authors introduce two new subclasses of holomorphic and bi-univalent functions with respect to the symmetric points defined in the domain of open unit disk $\Delta:=\{z \in\mathbb{C} |z|<1\}$ by making use of subordination
Trailokya Panigrahi, Eureka Pattnayak, Rabha Mohamed El-Ashwah   +2 more
doaj   +1 more source

COEFFICIENT BOUNDS FOR REGULAR AND BI-UNIVALENT FUNCTIONS LINKED WITH GEGENBAUER POLYNOMIALS

Проблемы анализа, 2021
The main goal of the paper is to initiate and explore two sets of regular and bi-univalent (or bi-Schlicht) functions in 𝔇 = {𝑧 ∈ C : |𝑧| < 1} linked with Gegenbauer polynomials.
S. R. Swamy, S. Yalçın
doaj   +1 more source

Coefficient estimates for a certain subclass of bi-univalent functions

Le Matematiche, 2016
Summary: In the present investigation, we find estimates on the coefficients \(|a_2|\) and \(|a_3|\) for functions in the function class \(S_\Sigma(\lambda,h)\). The results presented in this paper improve or generalize the recent work of \textit{N. Magesh} and \textit{J. Yamini} [Int. Math. Forum 8, No. 25--28, 1337--1344 (2013; Zbl 1283.30030)].
Yalcin, Sibel, Altınkaya, Şahsene
openaire   +2 more sources