Results 91 to 100 of about 4,110 (218)

Approximation and geometric properties of some complex Bernstein-Stancu polynomials in compact disks

open access: yesJournal of Numerical Analysis and Approximation Theory, 2007
In this paper, the order of simultaneous approximation, convergence results of the iterates and shape preserving properties, for complex Bernstein-Stancu polynomials (depending on one parameter) attached to analytic functions on compact disks are ...
Sorin G. Gal
doaj   +2 more sources

On a local version of Jack’s lemma

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
The purpose of this paper is to provide a result which concerns with the boundary behavior of analytic functions. It may be a local version of the well known Jack’s lemma when we change the function normalization at the origin.
Nunokawa Mamoru, Sokół Janusz
doaj   +1 more source

On Starlike and Convex Functions with Respect to 2k-Symmetric Conjugate Points

open access: yes, 2016
[[abstract]]In the present paper, two new classes S(k) sc () and C(k) sc () of func- tions starlike and convex with respect to 2k-symmetric conjugate points are introduced.
Wang, Zhi-gang, Gao, Chun-yi
core  

Radius Constants of Sigmoid Starlike Functions [PDF]

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  

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  

An integral operator on the classes \(\mathcal{S}^{\ast}(\alpha )\) and \(\mathcal{CVH}(\beta )\) [PDF]

open access: yes, 2013
The purpose of this paper is to study some properties related to convexity order and coefficients estimation for a general integral operator. We find the convexity order for this operator, using the analytic functions from the class of starlike functions
Ularu, Nicoleta, Breaz, Nicoleta
core   +1 more source

Q-Starlike Functions of Order Alpha

open access: yes, 2018
For all q is an element of (0, 1) and 0 <= alpha < 1 we define a class of analytic functions, so-called q-starlike functions of order alpha on the open unit disc D = {z : vertical bar z vertical bar < 1}.
POLATOĞLU, YAŞAR   +2 more
core   +1 more source

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

Harmonic functions which are starlike of order β with respect to other points [PDF]

open access: yes, 2008
Let H denote the class of functions f which are harmonic and univalent in the open unit disc D = {z : |z| < 1}. This paper defines and investigates a family of complex-valued harmonic functions that are orientation preserving and univalent in D and are ...
Aini Janteng   +2 more
core   +2 more sources

Novel Bi-Univalent Subclasses Generated by the q-Analogue of the Ruscheweyh Operator and Hermite Polynomials

open access: yesMathematics
This work introduces new bi-univalent function classes defined using the fractional q-Ruscheweyh operator and characterized by subordination to q-Hermite polynomials.
Feras Yousef   +3 more
doaj   +1 more source

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