Title
Some General Classes of -Starlike Functions Associated with the Janowski Functions.
Abstract
By making use of the concept of basic (or q-) calculus, various families of q-extensions of starlike functions of order a in the open unit disk U were introduced and studied from many different viewpoints and perspectives. In this paper, we first investigate the relationship between various known classes of q-starlike functions that are associated with the Janowski functions. We then introduce and study a new subclass of q-starlike functions that involves the Janowski functions. We also derive several properties of such families of q-starlike functions with negative coefficients including (for example) distortion theorems.
Year
DOI
Venue
2019
10.3390/sym11020292
SYMMETRY-BASEL
Keywords
DocType
Volume
analytic functions,univalent functions,starlike and q-starlike functions,q-derivative (or q-difference) operator,sufficient conditions,distortion theorems,Janowski functions
Journal
11
Issue
Citations 
PageRank 
2
1
0.43
References 
Authors
1
5
Name
Order
Citations
PageRank
H.M. Srivastava116846.37
Muhammad Tahir231.14
Bilal Khan36811.70
Qazi Zahoor Ahmad411.11
Nazar Khan5156.38