Results 81 to 90 of about 3,096,282 (119)

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

Upper Bounds and Fekete–Szegö Problem for Bi-Univalent Functions Involving Bazilevič and λ-Pseudo Functions Related to Lucas-Balancing Polynomials

Mathematics
This work introduces two novel classes of bi-univalent functions, denoted by ℬΣ(μ, γ, λ; r) and ΡΣ(μ, γ, λ; r), linked to Lucas-Balancing polynomials within the open unit disk.
Shaymaa Y. Alkufi, Abbas Kareem Wanas, Alina Alb Lupas   +2 more
doaj   +1 more source

Some New Subclasses of Bi-Univalent Functions Related to Quantum Calculus

Mathematics
The primary objective of this paper is to introduce and investigate several novel subclasses of bi-univalent functions associated with the q-calculus framework.
Renjie Guo, Sadia Riaz, Wajiha Bushra, Adeel Ahmad, Saqib Hussain, Saima Noor   +5 more
doaj   +1 more source

On Bi-Univalent Function Classes Defined via Gregory Polynomials

Mathematics
In this paper, we introduce and study a new subclass of bi-univalent functions related to Mittag–Leffler functions associated with Gregory polynomials and satisfy certain subordination conditions defined in the open unit disk.
Ibtisam Aldawish, Mallikarjun G. Shrigan, Sheza El-Deeb, Hari M. Srivastava   +3 more
doaj   +1 more source

Exploring Bi-Univalent Classes via q-Derivatives and Bivariate Fibonacci Polynomials

Mathematics
The q-calculus framework has emerged as a powerful tool in geometric function theory, enabling refined analysis of analytic and bi-univalent functions.
Aruna Mogarala Guruvaya, Basem Aref Frasin, Ibtisam Aldawish, Sondekola Rudra Swamy   +3 more
doaj   +1 more source

Fekete Szegö Coefficient for the Janowski α-Spirallike Functions in Open Unit Disk

, 2014
This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The aim of this paper is to gives sharp
S. Annamalai, C. Ramachandran, G. Murugusundaramoorthy   +2 more
core  

The second Hankel determinant and the Fekete-Szegö functional for a subclass of analytic functions by using the q-Sălăgean derivative operator

Alexandria Engineering Journal
The current study’s researchers create a new family of analytic functions in the open unit disk Λ by generalizing the q-difference operator. Our study lays a foundational understanding of the behavior of this functions.
Ekram E. Ali, H.M. Srivastava, Wafaa Y. Kota, Rabha M. El-Ashwah, Abeer M. Albalah   +4 more
doaj   +1 more source

(R1516) Results on Fekete-Szegö Problem for Some New Subclasses of Univalent Analytic Functions with Fractional-Order Operators

, 2022
We introduce some new subclasses of analytic functions which are univalent in an open unit disk by means of fractional calculus. The elemental interest is to explore the significance of fractional-order operators while formulating a few distinct ...
Kumar, R., Singha, N.
core  

The Fekete-Szegö problem for a general class of bi-univalent functions satisfying subordinate conditions [PDF]

, 2017
In this work, we obtain the Fekete-Szegö inequalities for the class $P_{Sigma }left( lambda ,phi right) $ of bi-univalent functions. The results presented in this paper improve the recent work of Prema and Keerthi [11]
Sibel Yalҫın, Şahsene Altınkaya
core   +1 more source

The Fekete-Szegö theorem for a certain class of analytic functions [PDF]

, 2011
In this paper, we discuss a well known class studied by many authors including Ramesha et al. and Janteng, few to mention. Next, we extend the class to a wider class of functions f denoted by , which are normalized and univalent, in the open unit disk D={
Maslina Darus,, Ma`Moun Harayzeh Al-Abbadi,   +1 more
core