scholarly journals Note on Neighborhoods of Some Classes of Analytic Functions with Negative Coefficients

2011 ◽  
Vol 2011 ◽  
pp. 1-7
Author(s):  
Irina Dorca ◽  
Mugur Acu ◽  
Daniel Breaz
Keyword(s):  
Convex Functions ◽  
Analytic Functions ◽  
Starlike And Convex Functions ◽  
Inclusion Relations

In this paper, we prove several inclusion relations associated with the (n,δ) neighborhoods of some subclasses of starlike and convex functions with negative coefficients.

Majorization of starlike and convex functions of complex order involving linear operators

2016 ◽  
Vol 66 (1) ◽  
Author(s):  
G. Murugusundaramoorthy ◽  
K. Thilagavathi
Keyword(s):  
Linear Operator ◽  
Convex Functions ◽  
Analytic Functions ◽  
Linear Operators ◽  
Starlike And Convex Functions ◽  
Complex Order

AbstractThe main object of this present paper is to investigate the problem of majorization of certain class of analytic functions of complex order defined by the Dziok-Raina linear operator. Moreover we point out some new or known consequences of our main result.

scholarly journals Fekete–Szegö problem for certain subclasses of analytic functions

2012 ◽  
Vol 45 (4) ◽  
Author(s):  
Halit Orhan ◽  
Erhan Deniz ◽  
Murat Çağlar
Keyword(s):  
Convex Functions ◽  
Analytic Functions ◽  
Starlike And Convex Functions ◽  
Complex Order

AbstractIn this present investigation, authors introduce certain subclasses of starlike and convex functions of complex order

scholarly journals Bounds for the Second Hankel Determinant of Certain Univalent Functions

2019 ◽  
Vol 8 (10S) ◽  
pp. 262-266
Keyword(s):  
Convex Functions ◽  
Analytic Functions ◽  
Univalent Functions ◽  
Starlike Functions ◽  
Hankel Determinant ◽  
Starlike And Convex Functions ◽  
Second Hankel Determinant

We study the estimates for the Second Hankel determinant of analytic functions. Our class includes (j,k)-convex, (j,k)-starlike functions and Ma-Minda starlike and convex functions..

scholarly journals On Starlike and Convex Functions with Respect to -Symmetric Points

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Afaf A. Ali Abubaker ◽  
Maslina Darus
Keyword(s):  
Differential Operator ◽  
Convex Functions ◽  
Analytic Functions ◽  
Starlike And Convex Functions ◽  
Symmetric Points

We introduce new subclasses and of analytic functions with respect to -symmetric points defined by differential operator. Some interesting properties for these classes are obtained.

Some new classes of analytic functions related to shell-like curve associated with ruscheweyh q-differential operator

2021 ◽  
pp. 2150183
Author(s):  
S. Lakshmi ◽  
S. Varadharajan
Keyword(s):  
Differential Operator ◽  
Convex Functions ◽  
Analytic Functions ◽  
Starlike And Convex Functions

In this paper, we study some new results such as coefficients bounds and Fekete–Szegö inequalities of the certain classes starlike and convex functions associated with shell-like defined using the concept of Ruscheweyh [Formula: see text]-differential operator. Comparisons of new results with those that were obtained in earlier investigation are given as corollaries.

An upper bound to the nonlinear functional for certain subclasses of analytic functions associated with Hankel determinant

2014 ◽  
Vol 07 (02) ◽  
pp. 1350042
Author(s):  
D. Vamshee Krishna ◽  
T. Ramreddy
Keyword(s):  
Upper Bound ◽  
Convex Functions ◽  
Analytic Functions ◽  
Hankel Determinant ◽  
Toeplitz Determinants ◽  
Nonlinear Functional ◽  
Determinant Formula ◽  
Starlike And Convex Functions ◽  
Second Hankel Determinant ◽  
Strongly Starlike

The objective of this paper is to obtain an upper bound to the second Hankel determinant [Formula: see text] for the functions belonging to strongly starlike and convex functions of order α(0 < α ≤ 1). Further, we introduce a subclass of analytic functions and obtain the same coefficient inequality for the functions in this class, using Toeplitz determinants.

scholarly journals Coefficient estimates for certain subclass of analytic functions defined by subordination

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3307-3318
Author(s):  
Nirupam Ghosh ◽  
A. Vasudevarao
Keyword(s):  
Convex Functions ◽  
Analytic Functions ◽  
Starlike Functions ◽  
Coefficient Estimates ◽  
Open Problems ◽  
Coefficient Bounds ◽  
Starlike And Convex Functions

In this article we determine the coefficient bounds for functions in certain subclasses of analytic functions defined by subordination which are related to the well-known classes of starlike and convex functions. The main results deal with some open problems proposed by Q.H. Xu et al.([20], [21]). An application of Jack lemma for certain subclass of starlike functions has been discussed.

scholarly journals Characterizations for certain subclasses of starlike and convex functions associated with Bessel functions

Filomat ◽  
2016 ◽  
Vol 30 (7) ◽  
pp. 1911-1917 ◽  
Author(s):  
Nak Cho ◽  
Hyo Lee ◽  
Rekha Srivastava
Keyword(s):  
Integral Operator ◽  
Bessel Function ◽  
Unit Disk ◽  
Convex Functions ◽  
Analytic Functions ◽  
Bessel Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
Starlike And Convex Functions ◽  
Generalized Bessel Function

In the present paper, we obtain some characterizations for a certain generalized Bessel function of the first kind to be in the subclasses SpT(?,?), UCT(?,?), PT(?) and CPT(?) of normalized analytic functions in the open unit disk U. Furthermore, we consider an integral operator related to the generalized Bessel Function which we have characterized here.

scholarly journals Convolution conditions for bounded \(\alpha\)-starlike functions of complex order

2017 ◽  
Vol 71 (1) ◽  
pp. 65
Author(s):  
A. Y. Lashin
Keyword(s):  
Complex Plane ◽  
Convex Functions ◽  
Analytic Functions ◽  
Unit Disc ◽  
General Class ◽  
Starlike Functions ◽  
Starlike And Convex Functions ◽  
Complex Order ◽  
Sălăgean Operator ◽  
Salagean Operator

Let \(A\) be the class of analytic functions in the unit disc \(U\) of the complex plane \(\mathbb{C}\) with the normalization \(f(0)=f^{^{\prime }}(0)-1=0\). We introduce a subclass \(S_{M}^{\ast }(\alpha ,b)\) of \(A\), which unifies the classes of bounded starlike and convex functions of complex order. Making use of Salagean operator, a more general class \(S_{M}^{\ast }(n,\alpha ,b)\) (\(n\geq 0\)) related to \(S_{M}^{\ast }(\alpha ,b)\) is also considered under the same conditions. Among other things, we find convolution conditions for a function \(f\in A\) to belong to the class \(S_{M}^{\ast }(\alpha ,b)\). Several properties of the class \(S_{M}^{\ast }(n,\alpha ,b)\) are investigated.

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