Some General Classes of q-Starlike Functions Associated with the Janowski Functions
Date
2019
Authors
Srivastava, H.M.
Tahir, Muhammad
Khan, Bilal
Ahmad, Qazi Zahoor
Khan, Nazar
Journal Title
Journal ISSN
Volume Title
Publisher
Symmetry
Abstract
By making use of the concept of basic (or q-) calculus, various families of q-extensions of starlike functions of order α 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.
Description
Keywords
analytic functions, univalent functions, starlike and q-starlike functions, q-derivative (or q-difference) operator, sufficient conditions, distortion theorems, Janowski functions
Citation
Srivastava, H.M., Tahir, M., Khan, B., Ahmad, Q.Z. & Khan, N. (2019). Some General Classes of q-Starlike Functions Associated with the Janowski Functions. Symmetry, 11(2), 292. https://doi.org/10.3390/sym11020292