scholarly journals Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions

2012 ◽  
Vol 25 (3) ◽  
pp. 344-351 ◽  
Author(s):  
Rosihan M. Ali ◽  
See Keong Lee ◽  
V. Ravichandran ◽  
Shamani Supramaniam
Keyword(s):  
Convex Functions ◽  
Coefficient Estimates ◽  
Starlike And Convex Functions

Starlike and convex functions with respect to symmetric conjugate points involving conical domain

2018 ◽  
Vol 68 (1) ◽  
pp. 89-102
Author(s):  
C. Ramachandran ◽  
R. Ambrose Prabhu ◽  
Srikandan Sivasubramanian
Keyword(s):  
Convex Functions ◽  
Domain Growth ◽  
Conjugate Points ◽  
Coefficient Estimates ◽  
Interesting Application ◽  
New Class ◽  
Starlike And Convex Functions ◽  
Distortion Estimates ◽  
Symmetric Points

AbstractEnough attentions to domains related to conical sections has not been done so far although it deserves more. Making use of the conical domain the authors have defined a new class of starlike and Convex Functions with respect to symmetric points involving the conical domain. Growth and distortion estimates are studied with convolution using domains bounded by conic regions. Certain coefficient estimates are obtained for domains bounded by conical region. Finally interesting application of the results are also highlighted for the function Ωk,βdefined by Noor.

scholarly journals Coefficient Bounds for Some Families of Starlike and Convex Functions of Reciprocal Order

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Muhammad Arif ◽  
Maslina Darus ◽  
Mohsan Raza ◽  
Qaiser Khan
Keyword(s):  
Upper Bound ◽  
Convex Functions ◽  
Hankel Determinant ◽  
Coefficient Estimates ◽  
Coefficient Bounds ◽  
Starlike And Convex Functions

The aim of the present paper is to investigate coefficient estimates, Fekete-Szegő inequality, and upper bound of third Hankel determinant for some families of starlike and convex functions of reciprocal order.

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.

Certain results on starlike and convex functions

2020 ◽  
Vol 4 (2) ◽  
pp. 1-14
Author(s):  
Pardeep Kaur ◽  
◽  
Sukhwinder Singh Billing ◽  
Keyword(s):  
Convex Functions ◽  
Starlike And Convex Functions

scholarly journals Coefficient bounds for some families of starlike and convex functions of complex order

2007 ◽  
Vol 20 (12) ◽  
pp. 1218-1222 ◽  
Author(s):  
Osman Altıntaş ◽  
Hüseyin Irmak ◽  
Shigeyoshi Owa ◽  
H.M. Srivastava
Keyword(s):  
Convex Functions ◽  
Coefficient Bounds ◽  
Starlike And Convex Functions ◽  
Complex Order

Closure properties of operators on the Ma–Minda type starlike and convex functions

2011 ◽  
Vol 218 (3) ◽  
pp. 667-672 ◽  
Author(s):  
Abeer O. Badghaish ◽  
Rosihan M. Ali ◽  
V. Ravichandran
Keyword(s):  
Convex Functions ◽  
Closure Properties ◽  
Starlike And Convex Functions

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.

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