Results 71 to 80 of about 2,322 (136)

Application of Salagean and Ruscheweyh Operators on Univalent Holomorphic Functions with Finitely many Coefficients [PDF]

, 2010
MSC 2010: 30C45, 30C50The purpose of the present paper is to introduce a new subclass of holomorphic univalent functions with negative and fixed finitely coefficient based on Salagean and Ruscheweyh differential operators.
Najafzadeh, Shahram
core  

Faber Polynomial Coefficients and Applications in Analytic Function Class

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Through this paper, by using the subordination definition, the ℘‐analogues Cătaş operator I℘nλ,I, complex order, and biunivalent functions with coefficients introduced by Faber polynomial expansion, we introduced the new class S℘,n∗f,λ,I,ξ,α,ϕ. A Faber polynomial is known as a sequence of polynomials that are used to approximate an analytic function on
Samar Mohamed, Fatma Z. El-Emam, Pramita Mishra   +2 more
wiley   +1 more source

Coefficient bounds for certain subclasses of bi-univalent functions

, 2013
In this paper, we introduce and investigate two new subclasses of the function class Σ of bi-univalent functions. Also, we find estimates of |a2| and |a3|. Some related consequences of the results are also pointed out. Mathematics Subject Classification:
N. Magesh, J. Yamini
semanticscholar   +1 more source

Application of Differential Subordinations to the Arithmetic–Geometric Means by Using an Operator

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This study investigates differential subordination involving arithmetic and geometric mean approaches associated with a previously introduced operator. While earlier studies considered cases where the dominant function was convex or linear, the present work extends these results by examining differential subordinations for specific classes of convex ...
Santosh Mandal, Madan Mohan Soren, Fethiye Müge Sakar, Daniel Breaz, Luminiţa-Ioana Cotîrlǎ, Çetin Yildiz   +5 more
wiley   +1 more source

On some geometric results for generalized k-Bessel functions

Demonstratio Mathematica, 2023
The main aim of this article is to present some novel geometric properties for three distinct normalizations of the generalized kk-Bessel functions, such as the radii of uniform convexity and of α\alpha -convexity.
Toklu Evrim
doaj   +1 more source

Initial Coefficient Estimates for Bi‐Univalent Functions Related to Generalized Telephone Numbers

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This study defines three novel classes of bi‐univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients |a2| and |a3| and Fekete–Szegö functional problems for functions involving these novel subclasses for functions in every one regarding these three bi‐univalent ...
Gangadharan Murugusundaramoorthy, Kaliappan Vijaya, Sunil Dutt Purohit, Shyamsunder, Daya Lal Suthar, Ming-Sheng Liu   +5 more
wiley   +1 more source

Fekete-Szegö functional for a class of non-Bazilevic functions related to quasi-subordination

Demonstratio Mathematica, 2023
In this article, we study the Fekete-Szegö functional associated with a new class of analytic functions related to the class of bounded turning by using the principle of quasi-subordination.
Shah Syed Ghoos Ali, Al-Sa’di Sa’ud, Hussain Saqib, Tasleem Asifa, Rasheed Akhter, Cheema Imran Zulfiqar, Darus Maslina   +6 more
doaj   +1 more source

Hankel determinant of order three for familiar subsets of analytic functions related with sine function

Open Mathematics, 2019
In this paper we define and consider some familiar subsets of analytic functions associated with sine functions in the region of unit disk on the complex plane. For these classes our aim is to find the Hankel determinant of order three.
Arif Muhammad, Raza Mohsan, Tang Huo, Hussain Shehzad, Khan Hassan   +4 more
doaj   +1 more source

Differential sandwich theorems for p-valent analytic functions associated with a generalization of the integral operator

Demonstratio Mathematica
In this study, subordination, superordination, and sandwich theorems are established for a class of p-valent analytic functions involving a generalized integral operator that has as a special case p-valent Sălăgean integral operator. Relevant connections
Almutairi Norah Saud, Shahen Awatef, Darwish Hanan   +2 more
doaj   +1 more source

Properties of a new integral operator

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, we derive sufficient conditions for the univalence, star- likeness, convexity and some other properties in the class N (ρ) ; for a new integral operator defined on the space of normalized analytic functions in the open unit disk.
Bucur Roberta, Andrei Loriana, Breaz Daniel   +2 more
doaj   +1 more source