Results 1 to 10 of about 268 (137)

Starlikeness associated with certain strongly functions. [PDF]

Heliyon
Let κ be an analytic function in the open unit disc U in the complex plane with κ ( 0 ) = 1 . Then κ ∈ K ( λ ) if and only if κ ( t ) ≺ ϕ λ ( t ) , where ≺ is a subordination relation and the function ϕ λ ( t ) : = ( 1 + t ) λ , for 0 < λ < 1 , maps U to a symmetric domain about the real axis in the right-half plane.
Saliu A, Jabeen K, Gong J, Nawaz Malik S, Alaqad H.   +4 more
europepmc   +4 more sources

Differential inequalities for spirallike and strongly starlike functions [PDF]

Advances in Difference Equations, 2021
In this paper, by using a technique of the first-order differential subordination, we find several sufficient conditions for an analytic function p such that p ( 0 ) = 1 $p(0)=1$ to satisfy Re { e i β p ( z ) } > γ $\operatorname{Re}\{ {\mathrm{e ...
Nak Eun Cho, Oh Sang Kwon, Young Jae Sim
doaj   +3 more sources

The Noor Integral and Strongly Starlike Functions

Journal of Mathematical Analysis and Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jinlin Liu
exaly   +3 more sources

ON CERTAIN CLASSES OF STRONGLY STARLIKE FUNCTIONS

Taiwanese Journal of Mathematics, 1998
Let \(A\) denote the class of analytic functions \(f\) in the unit disk \(U=\{z:| z|0,\;z\in U\}\) and let \(S^*(\alpha)= \{f\in A:| \arg{zf'(z)\over f(z)} |
Milutin Obradović
exaly   +4 more sources

A subclass of strongly starlike functions [PDF]

ریاضی و جامعه
Let's denote $\mathcal{S}^{\ast}(f_c)$ as a family of analytic functions $f(z)=z+a_2z^2+a_3z^3+\cdots$ in the open unit disk $\mathbb{D}$ that satisfy the following relation for $c\in (0,1)$:$$\frac{zf'(z)}{f(z)}\prec f_c(z)=\frac{1}{\sqrt{1-cz}}, \quad ...
Vali Soltani Masih
doaj   +2 more sources

On a subclass of strongly starlike functions

Applied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jacek Dziok, Janusz Sokół
exaly   +3 more sources

A linear operator and strongly starlike functions

Journal of the Mathematical Society of Japan, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jin-Lin Liu
exaly   +3 more sources

Harmonic spirallike functions and harmonic strongly starlike functions

Monatshefte Fur Mathematik, 2022
Harmonic functions are natural generalizations of conformal mappings. In recent years, a lot of work have been done by some researchers who focus on harmonic starlike functions. In this paper, we aim to introduce two classes of harmonic univalent functions of the unit disk, called hereditarily $λ$-spirallike functions and hereditarily strongly starlike
Xiu-Shuang Ma, Saminathan Ponnusamy, Toshiyuki Sugawa   +2 more
exaly   +3 more sources

Further Geometric Properties of the Barnes–Mittag-Leffler Function

Axioms, 2023
In this paper, we find sufficient conditions to be imposed on the parameters of a class of functions related to the Barnes–Mittag-Leffler function that allow us to conclude that it possesses certain geometric properties (such as starlikeness, uniformly ...
Abdulaziz Alenazi, Khaled Mehrez
doaj   +1 more source

Strongly Starlike Functions and Related Classes

Tamkang Journal of Mathematics, 2021
We consider  univalent functions, analytic in the unit disc $ |z|<1$in the complex plane ${\mathbb{C}}$ which map $ |z|<1$ onto a domainwith some nice property. The purpose of this paper is to find somenew conditions for strong starlikeness and some related results.
Mamoru Nunokawa, Janusz Sokol
openaire   +3 more sources