scholarly journals Coefficient estimates for certain subclasses of spiral-like functions of complex order

2010 ◽  
Vol 23 (7) ◽  
pp. 763-768 ◽  
Author(s):  
H.M. Srivastava ◽  
Qing-Hua Xu ◽  
Guang-Ping Wu
Keyword(s):  
Coefficient Estimates ◽  
Complex Order

scholarly journals Research on Geometric Mappings in Complex Systems Analysis

2016 ◽  
Vol 2016 ◽  
pp. 1-11 ◽  
Author(s):  
Yanyan Cui ◽  
Chaojun Wang ◽  
Sifeng Zhu
Keyword(s):  
Banach Spaces ◽  
Systems Analysis ◽  
Starlike Functions ◽  
Complex Variables ◽  
Several Complex Variables ◽  
Coefficient Estimates ◽  
Positive Real ◽  
Reinhardt Domains ◽  
Complex Order ◽  
Starlike Mappings

We mainly discuss the properties of a new subclass of starlike functions, namely, almost starlike functions of complex order λ, in one and several complex variables. We get the growth and distortion results for almost starlike functions of complex order λ. By the properties of functions with positive real parts and considering the zero of order k, we obtain the coefficient estimates for almost starlike functions of complex order λ on D. We also discuss the invariance of almost starlike mappings of complex order λ on Reinhardt domains and on the unit ball B in complex Banach spaces. The conclusions contain and generalize some known results.

scholarly journals Convolution Properties for Some Subclasses of Meromorphic Functions of Complex Order

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
M. K. Aouf ◽  
A. O. Mostafa ◽  
H. M. Zayed
Keyword(s):  
Unit Disc ◽  
Meromorphic Functions ◽  
Coefficient Estimates ◽  
Complex Order ◽  
Convolution Properties

Making use of the operatorLυfor functions of the formfz=1/z+∑k=1∞akzk-1, which are analytic in the punctured unit discU∗={z:z∈Cand0<|z|<1}=U∖{0}, we introduce two subclasses of meromorphic functions and investigate convolution properties, coefficient estimates, and containment properties for these subclasses.

Sharp coefficient estimates for certain subclasses of starlike functions of complex order

2013 ◽  
Vol 225 ◽  
pp. 43-49 ◽  
Author(s):  
Qing-Hua Xu ◽  
Qiao-Min Cai ◽  
H.M. Srivastava
Keyword(s):  
Starlike Functions ◽  
Coefficient Estimates ◽  
Complex Order

scholarly journals COEFFICIENT ESTIMATES FOR CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS OF COMPLEX ORDER

2011 ◽  
Vol 15 (5) ◽  
pp. 2377-2386 ◽  
Author(s):  
Qing-Hua Xu ◽  
Ying-Chun Gui ◽  
H. M. Srivastava
Keyword(s):  
Analytic Functions ◽  
Coefficient Estimates ◽  
Complex Order

scholarly journals Coefficient estimates of new classes of q-starlike and q-convex functions of complex order

2016 ◽  
pp. 135-145 ◽  
Author(s):  
T. M. Seoudy ◽  
M. K. Aouf
Keyword(s):  
Convex Functions ◽  
Coefficient Estimates ◽  
Complex Order

COEFFICIENT ESTIMATES FOR CERTAIN CLASS OF ANALYTIC FUNCTIONS OF COMPLEX ORDER AND TYPE BETA

2005 ◽  
Vol 38 (2) ◽  
pp. 313-322 ◽  
Author(s):  
M. K. Aouf ◽  
M. A. Al. Yamy
Keyword(s):  
Analytic Functions ◽  
Coefficient Estimates ◽  
Complex Order ◽  
Order And Type

scholarly journals On Subclass of -Uniformly Convex Functions of Complex Order Involving Multiplier Transformations

2012 ◽  
Vol 2012 ◽  
pp. 1-10
Author(s):  
Waggas Galib Atshan ◽  
Ali Hamza Abada
Keyword(s):  
Unit Disk ◽  
Convex Functions ◽  
Extreme Points ◽  
Open Unit ◽  
Open Unit Disk ◽  
Uniformly Convex ◽  
Coefficient Estimates ◽  
Integral Means ◽  
Uniformly Convex Functions ◽  
Complex Order

We introduce a subclass of -uniformly convex functions of order with negative coefficients by using the multiplier transformations in the open unit disk . We obtain coefficient estimates, radii of convexity and close-to-convexity, extreme points, and integral means inequalities for the function that belongs to the class .

scholarly journals Subclasses of Analytic Functions of Complex Order Involving Generalized Jackson's (p, q)-derivative

2021 ◽  
pp. 4819-4829
Author(s):  
A. Ta. Yousef ◽  
Z. Salleh
Keyword(s):  
Differential Operator ◽  
Analytic Functions ◽  
Fractional Derivatives ◽  
Coefficient Estimates ◽  
Complex Order ◽  
Generalized Differential

This paper aims at introducing a new generalized differential operator and new subclass of analytic functions to obtain some interesting properties like coefficient estimates and fractional derivatives.

scholarly journals Coefficient estimates for certain subclasses of starlike functions of complex order associated with hyperbolic domain

2021 ◽  
Vol 13(62) (2) ◽  
pp. 595-610
Author(s):  
K.R. Karthikeyan ◽  
G. Murugusundaramoorthy ◽  
A. Nistor-Serban
Keyword(s):  
Analytic Functions ◽  
Starlike Functions ◽  
Coefficient Estimates ◽  
Complex Order ◽  
Coefficient Inequalities ◽  
Hyperbolic Domain

In this paper, we obtain the coefficient inequalities for functions in certain subclasses of Janowski starlike functions of complex order which are related starlike functions associated with a hyperbolic domain. Our results extend the study of various subclasses of analytic functions. Several applications of our results are also mentioned

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