A certain subclass of meromorphically q-starlike functions associated with the Janowski functions
Date
2019
Authors
Mahmood, Shahid
Ahmad, Qazi Zahoor
Srivastava, H.M.
Khan, Nazar
Khan, Bilal
Tahir, Muhammad
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of Inequalities and Applications
Abstract
Abstract
In this paper, the authors introduce a new subclass of meromorphic q-starlike functions which are associated with the Janowski functions. A characterization of meromorphically q-starlike functions associated with the Janowski functions has been obtained when the coefficients in their Laurent series expansion about the origin are all positive. This leads to a study of coefficient estimates, distortion theorems, partial sums, and the radius of starlikeness estimates for this class. It is seen that the class considered demonstrates, in some respects, properties analogous to those possessed by the corresponding class of univalent analytic functions with negative coefficients.
Description
Keywords
Meromorphically starlike functions, Janowski functions, q-derivative (or q-difference), Distortion theorems, Partial sums, Radius of q-starlikeness
Citation
Mahmood, S., Ahmad, Q. Z., Srivastava, H. M., Khan, B., & Tahir, M. (2019). A certain subclass of meromorphically q-starlike functions associated with the Janowski functions. Journal of Inequalities and Applications, 2019(1). https://doi.org/10.1186/s13660-019-2020-z