Results 51 to 60 of about 134 (91)

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

The Second Hankel Determinant Problem for a Class of Bi-Univalent Functions

Journal of Mathematical and Fundamental Sciences, 2019
Hankel matrices are related to a wide range of disparate determinant computations and algorithms and some very attractive computational properties are allocated to them.
Mohammad Hasan Khani, Ahmad Zireh, Ebrahim Analouei Adegani   +2 more
doaj   +1 more source

Fekete–Szegö problems for (β, Φ)-spirllike mapping of complex order γ in Banach space

Demonstratio Mathematica
In this paper, we establish the sharp Fekete–Szegö inequalities of functional type over a new class of holomorphic mappings on the unit ball in a complex Banach space. This class includes some important widely studied classes. We offer simpler proofs and
Xiong Liangpeng, Yu Fang, Wang Qingchao
doaj   +1 more source

Exploring Fekete-Szegő inequalities for an admissible class of bi-univalent functions involved Gegenbauer polynomials

Arab Journal of Basic and Applied Sciences
This paper presents a newly defined subclass of bi-univalent functions linked to the Genenbauer polynomial. The functions in this subclass satisfy specific subordination conditions within a symmetric domain inside the open unit disk.
Sa’ud Al-Sa’di, Ibrar Ahmad, Muge Sakar, Saqib Hussain, Saima Noor   +4 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

Starlikeness and convexity of a class of analytic functions

International Journal of Mathematics and Mathematical Sciences, 2006
Let be the class of analytic functions in the unit disk that are normalized with f(0)=f′(0)−1=0 and let −1 ...
Nikola Tuneski, Hüseyin Irmak
doaj   +1 more source

ON A COMPREHENSIVE CLASS OF ANALYTIC P-VALENT FUNCTIONS ASSOCIATED WITH SHELL-LIKE CURVE AND MODIFIED SIGMOID FUNCTION

Malaysian Journal of Computing, 2022
In this paper, the authors introduce and study a new class of analytic p-valent functions and its connections with some famous subclasses of analytic and univalent functions associated with shell-like curve and modified sigmoid function in the open unit ...
Jamiu Olusegun Hamzat, Abiodun Tinuoye Oladipo   +1 more
doaj   +1 more source

Sharp coefficient inequalities and their applications for a class of analytic functions associated with an apple-shaped domain

Arab Journal of Basic and Applied Sciences
In this study, we establish a novel subclass of analytic functions connected to bounded turning functions and governed by an apple-shaped domain. For this class, we estimate sharp coefficient bounds, evaluate the sharp Fekete-Szegö functional, and derive
Adeel Ahmad, Sa’ud Al-Sa’di, Muhammad Ali Alamri, Akhter Rasheed, Saqib Hussain, Asad Ali, Zainab Tanveer   +6 more
doaj   +1 more source

Certain New Applications of Symmetric q-Calculus for New Subclasses of Multivalent Functions Associated with the Cardioid Domain

Axioms
In this work, we study some new applications of symmetric quantum calculus in the field of Geometric Function Theory. We use the cardioid domain and the symmetric quantum difference operator to generate new classes of multivalent q-starlike and q-convex ...
Hari M. Srivastava, Daniel Breaz, Shahid Khan, Fairouz Tchier   +3 more
doaj   +1 more source

Applications of Bernoulli Polynomials and q²-Srivastava–Attiya Operator in the Study of Bi-Univalent Function Classes

Mathematics
The central focus of this study is the development and investigation of a generalized subclass of bi-univalent functions, defined using the q2-Srivastava–Attiya operator in conjunction with Bernoulli polynomials.
Basem Aref Frasin, Sondekola Rudra Swamy, Ibtisam Aldawish, Paduvalapattana Kempegowda Mamatha   +3 more
doaj   +1 more source