Results 101 to 110 of about 5,950,409 (217)

Q-Extension of Starlike Functions Subordinated with a Trigonometric Sine Function

open access: yes, 2020
The main purpose of this article is to examine the q-analog of starlike functions connected with a trigonometric sine function. Further, we discuss some interesting geometric properties, such as the well-known problems of Fekete-Szegö, the necessary
Saeed Islam   +4 more
core   +1 more source

On a subclass of Bazilevič functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1985
Let B(α) be the class of normalised Bazilevič functions of type α>0 with respect to the starlike function g. Let B1(α) be the subclass of B(α) when g(z)≡z. Distortion theorems and coefficient estimates are obtained for functions belonging to B1(α).
D. K. Thomas
doaj   +1 more source

On starlike functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1968
openaire   +2 more sources

New Properties of Analytic Functions

open access: yesMathematics
In the present paper, we consider the class A¯ of functions f(z) of the form f(z)=z+∑k=1∞a1+k3z1+k3 that are analytic in the open unit disc U. If a1+k3=0 for k≠3n(n=1,2,3,⋯), then f(z) is given by f(z)=z+∑k=2∞akzk.
Hatun Özlem Güney, Shigeyoshi Owa
doaj   +1 more source

Third order Hankel determinant for inverse functions of a class of starlike functions of order α [PDF]

open access: yes
The main goal of this paper is to determine an upper bound for the third Hankel determinant for the inverse functions of f, belonging to the class of starlike function of order α (0 ≤ α ≤ 1/2 )
Karamazova Gelova, Elena   +1 more
core   +2 more sources

ON A CHARACTERIZATION OF THE CLASS OF STARLIKE UNIVALENT FUNCTIONS

open access: yes, 2014
Dedicated to Maxwell O. Reade on the occasion of his retirement. 1. Introduction. Let S be the class of functions f(z) = z + 232 anZ which are regular and univalent in the unit disc D = { z: {zl < 1}. By S*, S*(cr) and SP(cr) we denote the subclasses
Hassoon A-amiri
core  

HANKEL DETERMINANT FOR p-VALENT STARLIKE AND CONVEX FUNCTIONS OF ORDER

open access: yes, 2015
. The objective of this paper is to obtain an upper bound to the second Hankel determinant jap+1ap+3 a2p+2j for p-valent starlike and convex functions of order , using Toeplitz determinants.
D. Vamshee Krishna, T. Ramreddy
core  

Certain subclasses of k-uniformly starlike functions associated with symmetric q-derivative operator

open access: yes, 2018
In this paper, we have established the inclusion relations for k-uniformly starlike functions under the (Dqf)(z) operator. We define two new subclass of k-uniformly starlike functions of order α.
Altinkaya, Şahsene   +2 more
core  

Starlike functions associated with the generalized Koebe function [PDF]

open access: yes
In this paper we study some properties of functions f which are analytic and normalized (i.e. f (0) = 0 = f' (0) - 1) such that satisfy the following subordination relation(zf'(z)/f(z) - 1) < z/ (1 - pz)(1 - qz),where (p, q) is an element of [-1, 1] x ...
Trojnar-Spelina Lucyna, Kargar Rahim
core   +1 more source

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