Results 101 to 110 of about 3,329 (222)

A Class of Starlike Functions

open access: yesRocky Mountain Journal of Mathematics, 1993
Let \(S^*\) be the usual class of starlike functions, i.e. \(f(z)\) of the form \(z+a_ 2 z^ 2\dots\) which are analytic and univalent in the unit disc \(U\) and which map \(U\) onto a domain starshaped with respect to the origin.
openaire   +2 more sources

ON NORMALIZED RABOTNOV FUNCTION ASSOCIATED WITH CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS

open access: yesПроблемы анализа, 2023
In this paper, we investigate some sufficient conditions for the normalized Rabotnov function to be in certain subclasses of analytic and univalent functions. The usefulness of the results is depicted by some corollaries and examples.
S. Sumer Eker, B. ¸Seker, S. Ece
doaj  

Radius Constants of Sigmoid Starlike Functions

open access: yes, 2022
In the present investigation, we study the class of Sigmoid starlike functions, given by $\mathcal{S}^*_{SG}=\{f\in\mathcal{A}: {zf'(z)}/{f(z)}\prec 2/(1+e^{-z})\}$ in context of estimating the sharp radius constants associated with several known ...
Goel, Priyanka, Kumar, S. Sivaprasad
core  

The radius of convexity of certain analytic functions II

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
In [2], MacGregor found the radius of convexity of the functions f(z)=z+a2z2+a3z3+…, analytic and univalent such that |f′(z)−1|
J. S. Ratti
doaj   +1 more source

Support points of families of starlike mappings

open access: yes, 1990
The support points are obtained for the class of those analytic functions starlike of order α, m-fold symmetric that are real on (− 1, 1). We also determine the set of support points for the m-fold symmetric analytic functions which are starlike of order
Wilken, D.R, Hallenbeck, D.J
core   +1 more source

Bazilevic functions of type β

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1982
In this paper, a new coefficient result for the Bazileviĉ functions of type β is obtained.
K. Inayat Noor
doaj   +1 more source

Criterion for the family of ε starlike mappings

open access: yes, 2002
We introduce the family of ε starlike mappings, in purpose to treat the family of convex mappings and the family of starlike mappings as one family, and to describe one family how to transit to another one.
Gong, Sheng   +3 more
core   +1 more source

Connecting Quantum Calculus and Harmonic Starlike Functions

open access: yes, 2020
Quantum calculus or q-calculus plays an important role in hypergeometric series, quantum physics, operator theory, approximation theory, sobolev spaces, geometric functions theory and others.
ÇETİNKAYA, ASENA, Ahuja, O. P.
core   +1 more source

Inequalities of a Class of Analytic Functions Involving Multiplicative Derivative

open access: yesMathematics
Using the concepts of multiplicative calculus and subordination of analytic functions, we define a new class of starlike bi-univalent functions based on a symmetric operator, which involved the three parameter Mittag-Leffler function.
Kadhavoor R. Karthikeyan   +3 more
doaj   +1 more source

Null, recursively starlike-equivalent decompositions shrink

open access: yes, 2019
A subset $E$ of a metric space $X$ is said to be starlike-equivalent if it has a neighbourhood which is mapped homeomorphically into $\mathbb{R}^n$ for some $n$, sending $E$ to a starlike set.
Meier, Jeffrey   +2 more
core  

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