Results 11 to 20 of about 499 (184)
A Note on Strongly Starlike Mappings in Several Complex Variables [PDF]
Abstract and Applied Analysis, 2014 Let f be a normalized biholomorphic mapping on the Euclidean unit ball 𝔹n in ℂn and let α∈0,1. In this paper, we will show that if f is strongly starlike of order α in the sense of Liczberski and Starkov, then it is also strongly starlike of order α in ...
Hidetaka Hamada +3 more
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Radius Results for Certain Strongly Starlike Functions
Symmetry, 2023 This article comprises the study of strongly starlike functions which are defined by using the concept of subordination. The function φ defined by φ(ζ)=(1+ζ)λ, 0<λ<1 maps the open unit disk in the complex plane to a ...
Qin Xin +4 more
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Criteria for Strongly Starlike Functions [PDF]
ISRN Geometry, 2011 Let f(z) be analytic in the unit disk U={z:|z|<1} with f(0)=f'(0)-1=0 and (f(z)/z)f'(z)≠0. By using the method of differential subordinations, we determine the largest number α(β,λ,μ,m) such that, for some β,λ,μ, and m, the differential subordination ...
Neng Xu
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Growth Theorems for a Subclass of Strongly Spirallike Functions [PDF]
Journal of Applied Mathematics, 2014 In this paper we consider a subclass of strongly spirallike functions on the unit disk D in the complex plane C, namely, strongly almost spirallike functions of type β and order α.
Yan-Yan Cui, Chao-Jun Wang, Si-Feng Zhu
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INNER RADIUS OF UNIVALENCE FOR A STRONGLY STARLIKE DOMAIN (New Extension of Historical Theorems for Univalent Function Theory) [PDF]
Monatshefte f�r Mathematik, 2000 . The inner radius of univalence of a domain $D $ with Poincar\’e density $\rho_{D} $ is the possible smallest number $\sigma $ such that the condition $||S_{f}||D=\mathrm{s}\mathrm{u}\mathrm{p}w\in D\rho_{D(}w)^{-}2|S_{f}(z)|\leq\sigma$ implies the ...
Toshiyuki Sugawa, Sugawa, Toshiyuki
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The Order of Strongly Starlikeness of the Generalized α-Convex Functions [PDF]
Symmetry, 2019 We consider the order of the strongly-starlikeness of the generalized α -convex functions.
Jin-Lin Liu, Yuan Yuan, Rekha Srivastava
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On p-Valently Meromorphic-Strongly Starlike and Convex Functions
International Journal of Analysis and Applications, 2016 In this paper, we obtain sufficient conditions for analytic function $f(z)$ in the punctured unit disk to be $p$-valently meromorphic-strongly starlike and $p$-valently meromorphic-strongly convex of order $\beta$ and type $\alpha$.
Rahim Kargar, Ali Ebadian, Janusz Sokol
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On the hadamard products of Schlicht functions and applications
International Journal of Mathematics and Mathematical Sciences, 1985 We show that each of the schlicht classes of starlike, convex, close-to-convex and strongly starlike with respect to symmetric points is invariant under the Hadamard product with the class of convex functions.
H. S. Al-Amiri
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ON SOME SUBCLASS OF STRONGLY STARLIKE FUNCTIONS
Demonstratio Mathematica, 1998 Let \(\Delta= \{z\in\mathbb{C}: | z|
Janusz Sokól
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New Criteria for Functions in a Class of Meromorphically Strongly Starlike Functions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThe authors propose to investigate some new criteria for a certain class of meromorphically strongly starlike functions in the punctured open unit disk. Some intriguing applications that arise as special cases of the main results, which are presented in ...
Cho Nak Eun, Kim Inhwa, Srivastava H. M.
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