Results 41 to 50 of about 10,536,036 (281)

The Booth Lemniscate Starlikeness Radius for Janowski Starlike Functions

open access: yesBulletin of the Malaysian Mathematical Sciences Society, 2022
The function $G_\alpha(z)=1+ z/(1-\alpha z^2)$, \, $0\leq \alpha <1$, maps the open unit disc $\mathbb{D}$ onto the interior of a domain known as the Booth lemniscate. Associated with this function $G_\alpha$ is the recently introduced class $\mathcal{BS}(\alpha)$ consisting of normalized analytic functions $f$ on $\mathbb{D}$ satisfying the ...
Somya Malik   +2 more
openaire   +2 more sources

Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2013
We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent.
Samaneh G. Hamidi   +2 more
doaj   +1 more source

Estimation of the Second-Order Hankel Determinant of Logarithmic Coefficients for Two Subclasses of Starlike Functions

open access: yesSymmetry, 2022
In our present study, two subclasses of starlike functions which are symmetric about the origin are considered. These two classes are defined with the use of the sigmoid function and the trigonometric function, respectively.
P. Sunthrayuth   +4 more
semanticscholar   +1 more source

Research on Geometric Mappings in Complex Systems Analysis

open access: yesDiscrete Dynamics in Nature and Society, 2016
We mainly discuss the properties of a new subclass of starlike functions, namely, almost starlike functions of complex order λ, in one and several complex variables.
Yanyan Cui, Chaojun Wang, Sifeng Zhu
doaj   +1 more source

Starlikeness Associated with Tangent Hyperbolic Function

open access: yesJournal of Function Spaces, 2022
The primary objective of this study is to establish a class of starlike functions (symmetric under rotation) that are related to a tangent hyperbolic.
Huo Tang   +5 more
doaj   +1 more source

On Starlike Functions of Negative Order Defined by q-Fractional Derivative

open access: yesFractal and Fractional, 2022
In this paper, two new classes of q-starlike functions in an open unit disc are defined and studied by using the q-fractional derivative. The class Sq*˜(α), α∈(−3,1], q∈(0,1) generalizes the class Sq* of q-starlike functions and the class Tq*˜(α), α∈[−1 ...
S. Riaz   +4 more
semanticscholar   +1 more source

Coefficient Inequalities for Multivalent Janowski Type q-Starlike Functions Involving Certain Conic Domains

open access: yesAxioms, 2022
In the current work, by using the familiar q-calculus, first, we study certain generalized conic-type regions. We then introduce and study a subclass of the multivalent q-starlike functions that map the open unit disk into the generalized conic domain ...
M. S. Rehman   +6 more
semanticscholar   +1 more source

Pre-Schwarzian norm estimates for the class of janowski starlike functions [PDF]

open access: yesMonatshefte für Mathematik (Print), 2021
For $$-1\le ...
Md Firoz Ali, Sanjit Pal
semanticscholar   +1 more source

The Generalized Janowski Starlike and Close-to-Starlike Log-Harmonic Mappings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
Motivated by the success of the Janowski starlike function, we consider here closely related functions for log-harmonic mappings of the form 𝑓(𝑧)=𝑧ℎ(𝑧)𝑔(𝑧) defined on the open unit disc 𝑈.
Maisarah Haji Mohd, Maslina Darus
doaj   +1 more source

Starlikness Associated with Cosine Hyperbolic Function

open access: yesMathematics, 2020
The main contribution of this article is to define a family of starlike functions associated with a cosine hyperbolic function. We investigate convolution conditions, integral preserving properties, and coefficient sufficiency criteria for this family ...
Abdullah Alotaibi   +3 more
doaj   +1 more source

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