Results 21 to 30 of about 2,697,831 (219)

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

Majorization for certain classes of meromorphic functions defined by integral operator [PDF]

open access: yes, 2016
Here we investigate a majorization problem involving starlike meromorphic functions of complex order belonging to a certain subclass of meromorphic univalent functions defined by an integral operator introduced recently by ...
Goyal, S. P., Goswami, Pranay
core   +1 more source

On a subclass of starlike functions associated with a vertical strip domain

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we consider a subclass of starlike functions associated with a vertical strip domain. We obtain several results concerned with integral representations, convolutions, and coefficient inequalities for functions belonging to this class ...
Yong Sun   +3 more
doaj   +1 more source

Third Hankel Determinant for the Logarithmic Coefficients of Starlike Functions Associated with Sine Function

open access: yesFractal and Fractional, 2022
The logarithmic functions have been used in a verity of areas of mathematics and other sciences. As far as we know, no one has used the coefficients of logarithmic functions to determine the bounds for the third Hankel determinant.
Bilal Khan   +3 more
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

Analytic Functions Related with Starlikeness [PDF]

open access: yesMathematical Problems in Engineering, 2021
The aim of present investigation is to study a new class of analytic function related with the Sokol-Nunokawa class. We derived relationships of this class with strongly starlike functions and obtained many interesting results.
Syed Ghoos Ali Shah   +5 more
openaire   +1 more source

On starlike functions [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1980
Let S denote the class of functions f analytic and univalent in the open disc {z: |z| < 1} and normalized by f(0) = 0 = f′(0) − 1, and S*(α) denote the set of starlike functions of order α (0 ≤ α ≤ 1) in S. In this paper, the results of William M. Causey and William L. White [J. Math. Anal. Appl.
Gupta, V. P., Ahmad, Iqbal
openaire   +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

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

Radius of Starlikeness of Convex Combinations of Univalent Starlike Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1980
The radius of starlikeness of the convex combination \[ t f ( z )
Hamilton, D. H., Tuan, P. D.
openaire   +1 more source

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