scholarly journals Some Classes of k-Uniformly Functions with Bounded Radius Rotation

2014 ◽  
Vol 8 (2) ◽  
pp. 527-533 ◽  
Author(s):  
Khalida Inayat Noor ◽  
Rabia Fayyaz ◽  
Muhammad Aslam Noor
Keyword(s):  
Bounded Radius Rotation

Some properties of the analytic functions with bounded radius rotation

2019 ◽  
Vol 28 (1) ◽  
pp. 85-90
Author(s):  
YASAR POLATOGLU ◽  
◽  
ASENA CETINKAYA ◽  
OYA MERT ◽  
◽  
...  
Keyword(s):  
Analytic Functions ◽  
Unit Disc ◽  
Starlike Functions ◽  
Open Unit ◽  
Coefficient Estimate ◽  
Open Unit Disc ◽  
Radius Of Starlikeness ◽  
Growth Theorem ◽  
Bounded Radius Rotation

In the present paper, we introduce a new subclass of normalized analytic starlike functions by using bounded radius rotation associated with q- analogues in the open unit disc \mathbb D. We investigate growth theorem, radius of starlikeness and coefficient estimate for the new subclass of starlike functions by using bounded radius rotation associated with q- analogues denoted by \mathcal{R}_k(q), where k\geq2, q\in(0,1).

Functions of bounded radius rotation involving multiplier transformations

2017 ◽  
Vol 6 ◽  
pp. 29-37 ◽  
Author(s):  
Syed Zakar Hussain Bukhari ◽  
Sidra Zafar ◽  
Maryam Nazir ◽  
Bushra Malik
Keyword(s):  
Bounded Radius Rotation

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 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 On certain analytic functions with bounded radius rotation

2011 ◽  
Vol 61 (10) ◽  
pp. 2987-2993 ◽  
Author(s):  
Khalida Inayat Noor ◽  
Muhammad Aslam Noor ◽  
Eisa A. Al-Said
Keyword(s):  
Analytic Functions ◽  
Bounded Radius Rotation

scholarly journals Some applications of certain integral operators involving functions

2018 ◽  
Vol 49 (1) ◽  
pp. 25-34
Author(s):  
Khhalida Inayat Noor ◽  
Bushra Malik ◽  
Syed Zakar Hussain Bukhari
Keyword(s):  
Integral Transform ◽  
Integral Operators ◽  
Boundary Curve ◽  
Integral Transforms ◽  
Simply Connected Domain ◽  
Bounded Boundary Rotation ◽  
Boundary Rotation ◽  
Bounded Radius Rotation ◽  
Complete Circuit ◽  
Simply Connected

Integral transforms map equations from their original domains into others where manipulations and solutions may be much easier than in original domains. To get back in the original environment, we use the idea of inverse of the integral transform. A function analytic and locally univalent in a given simply connected domain is said to be of bounded boundary rotation if its range has bounded boundary rotation which is defined as the total variation of the direction angle of the tangent to the boundary curve under a complete circuit. \qquad The main objective of the present article is to study some applications of certain integral operators to functions of bounded radius rotation involving Janowski functions. We discuss some inclusion results under certain assumption on parameters involve in operators as well as in related subclasses of analytic functions. Most of these results are best possible. We also relate our findings with the existing literature of the subjects.

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