scholarly journals On Subclasses of Analytic Functions with respect to Symmetrical Points

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Muhammad Arif ◽  
Khalida Inayat Noor ◽  
Rafiullah Khan
Keyword(s):  
Analytic Functions ◽  
Sufficient Condition ◽  
Arc Length ◽  
Basic Properties ◽  
Complex Order ◽  
Bounded Radius Rotation ◽  
Symmetrical Points

In our present investigation, motivated from Noor work, we define the classℛks(b) of functions of bounded radius rotation of complex orderbwith respect to symmetrical points and learn some of its basic properties. We also apply this concept to define the classHks(α,b,δ). We study some interesting results, including arc length, coefficient difference, and univalence sufficient condition for this class.

scholarly journals Certain subclasses of analytic functions involving complex order

Filomat ◽  
2008 ◽  
Vol 22 (2) ◽  
pp. 115-122 ◽  
Author(s):  
T.N. Shanmugam ◽  
S. Sivasubramanian ◽  
B.A. Frasin
Keyword(s):  
Analytic Functions ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Complex Order ◽  
Necessary And Sufficient ◽  
Class Of Functions

In the present investigation, we consider an unified class of functions of complex order. Necessary and sufficient condition for functions to be in this class is obtained. The results obtained in this paper generalizes the results obtained by Srivastava and Lashin [10], and Ravichandran et al. [4]. .

scholarly journals ON A CLASS OF CERTAIN ANALYTIC FUNCTIONS OF COMPLEX ORDER

1990 ◽  
Vol 21 (2) ◽  
pp. 101-109
Author(s):  
VINOD KUMAR ◽  
S. L. SHUKLA ◽  
A. M. CHAUDHARY
Keyword(s):  
Analytic Functions ◽  
Sufficient Condition ◽  
Coefficient Estimate ◽  
Necessary And Sufficient Condition ◽  
Complex Order ◽  
Necessary And Sufficient ◽  
Radius Problem

We introduce a class, namely, $F_n(b,M)$ of certain analytic functions. For this class we detennine coefficient estimate, sufficient condition in terms of coefficients, maximization theonne concerning the coefficients, radius problem and a necessary and sufficient condition in terms of convolution. Our results generalize and correct some results of Nasr and Aouf ([2],[3]).

scholarly journals On generalized spiral-like analytic functions

Filomat ◽  
2014 ◽  
Vol 28 (7) ◽  
pp. 1493-1503 ◽  
Author(s):  
Khalida Noor ◽  
Nazar Khan ◽  
Muhammad Noor
Keyword(s):  
Analytic Functions ◽  
Unit Disc ◽  
Open Unit ◽  
Sufficient Condition ◽  
Open Unit Disc ◽  
New Class ◽  
Bounded Radius Rotation ◽  
Number Of Classes ◽  
Inclusion Results

In this paper, we use the concept of bounded Mocanu variation to introduce a new class of analytic functions, defined in the open unit disc, which unifies a number of classes previously studied such as those of functions with bounded radius rotation and bounded Mocanu variation. It also generalizes the concept of ?-spiral likeness in some sense. Some interesting properties of this class including inclusion results, arclength problems and a sufficient condition for univalency are studied.

scholarly journals Некоторые результаты о подчинении для одного функционального класса, определяемого $q$-разностным оператором типа Салагина

2020 ◽  
pp. 7-15
Author(s):  
M.K. Aouf ◽  
T.M. Seoudy
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Open Unit ◽  
Mathematical Science ◽  
Sufficient Condition ◽  
Open Unit Disk ◽  
Derivative Operator ◽  
Quantum Calculus ◽  
Complex Order ◽  
Principle Of Subordination

The theory of the basic quantum calculus (that is, the basic q-calculus) plays important roles in many diverse areas of the engineering, physical and mathematical science. Making use of the basic definitions and concept details of the q-calculus, Govindaraj and Sivasubramanian [10] defined the Salagean type q-difference (q-derivative) operator. In this paper, we introduce a certain subclass of analytic functions with complex order in the open unit disk by applying the Salagean type q-derivative operator in conjunction with the familiar principle of subordination between analytic functions. Also, we derive some geometric properties such as sufficient condition and several subordination results for functions belonging to this subclass. The results presented here would provide extensions of those given in earlier works.

On analytic functions with generalized bounded Mocanu variation in conic domain with complex order

2017 ◽  
Vol 67 (2) ◽  
Author(s):  
Shahid Mahmood ◽  
Wasim Ul-Haq ◽  
Muhammad Arif
Keyword(s):  
Present Article ◽  
Analytic Functions ◽  
Arc Length ◽  
Complex Order ◽  
Conic Domain

AbstractThe aim of present article is to introduce and study new subclasses in conic regions. These classes unifies several known classes studied by various well-known authors. Many interesting properties including sufficiency criteria, arc length problem, distortion results are investigated for these newly defined subclasses.

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 Hankel determinant for a class of analytic functions of complex order defined by convolution

2015 ◽  
Vol 69 (2) ◽  
pp. 47
Author(s):  
S. M. El-Deeb ◽  
M. K. Aouf
Keyword(s):  
Analytic Functions ◽  
Upper Bounds ◽  
Hankel Determinant ◽  
Complex Order ◽  
Second Hankel Determinant

In this paper, we obtain the Fekete-Szego inequalities for the functions of complex order defined by convolution. Also, we find upper bounds for the second Hankel determinant \(|a_2a_4-a_3^2|\) for functions belonging to the class \(S_{\gamma}^b(g(z);A,B)\).

Sign in / Sign up

Export Citation Format

Share Document