Bounded starlike functions of complex order

1983 ◽  
Vol 92 (2) ◽  
pp. 97-102 ◽  
Author(s):  
M A Nasr ◽  
M K Aouf
Keyword(s):  
Starlike Functions ◽  
Complex Order

Coefficient bounds for a subclass of starlike functions of complex order

2011 ◽  
Vol 218 (3) ◽  
pp. 693-698
Author(s):  
Murat Çağlar ◽  
Erhan Deniz ◽  
Halit Orhan
Keyword(s):  
Starlike Functions ◽  
Coefficient Bounds ◽  
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.

Uniformly harmonic starlike functions of complex order

2017 ◽  
Vol 5 ◽  
pp. 67-74
Author(s):  
Syed Zakar Hussain Bukhari ◽  
Malik Ali Raza ◽  
Bushra Malik
Keyword(s):  
Starlike Functions ◽  
Complex Order ◽  
Harmonic Starlike

scholarly journals On close-to-convex functions of complex order

1990 ◽  
Vol 13 (2) ◽  
pp. 321-330 ◽  
Author(s):  
H. S. Al-Amiri ◽  
Thotage S. Fernando
Keyword(s):  
Convex Functions ◽  
Nonnegative Integer ◽  
Sufficient Conditions ◽  
Starlike Functions ◽  
Coefficient Bounds ◽  
Complex Order ◽  
Covering Theorems

The classS*(b)of starlike functions of complex orderbwas introduced and studied by M.K. Aouf and M.A. Nasr. The authors using the Ruscheweyh derivatives introduce the classK(b)of functions close-to-convex of complex orderb,b≠0and its generalization, the classesKn(b)wherenis a nonnegative integer. HereS*(b)⊂K(b)=K0(b). Sharp coefficient bounds are determined forKn(b)as well as several sufficient conditions for functions to belong toKn(b). The authors also obtain some distortion and covering theorems forKn(b)and determine the radius of the largest disk in which everyf∈Kn(b)belongs toKn(1). All results are sharp.

scholarly journals Properties of λ-Pseudo-Starlike Functions of Complex Order Defined by Subordination

Axioms ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 86
Author(s):  
Kadhavoor R. Karthikeyan ◽  
Gangadharan Murugusundaramoorthy ◽  
Teodor Bulboacă
Keyword(s):  
Analytic Functions ◽  
Special Functions ◽  
Starlike Functions ◽  
New Class ◽  
Complex Order ◽  
Conic Domain ◽  
Bazilevic Functions

In this paper, we defined a new class of λ-pseudo-Bazilevič functions of complex order using subordination. Various classes of analytic functions that map unit discs onto a conic domain and some classes of special functions were studied in dual. Some subordination results, inequalities for the initial Taylor–Maclaurin coefficients and the unified solution of the Fekete–Szego problem for subclasses of analytic functions related to various conic regions, are our main results. Our main results have many applications which are presented in the form of corollaries.

Majorization by starlike functions of complex order

2001 ◽  
Vol 46 (3) ◽  
pp. 207-218 ◽  
Author(s):  
Osman Altintaş ◽  
Öznur Özkan ◽  
H.M. Srivastava
Keyword(s):  
Starlike Functions ◽  
Complex Order
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