A Study of Some Families of Multivalent q-Starlike Functions Involving Higher-Order q-Derivatives
Date
2020
Authors
Khan, Bilal
Liu, Zhi-Guo
Srivastava, Hari M.
Khan, Nazar
Darus, Maslina
Tahir, Muhammad
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematics
Abstract
In the present investigation, by using certain higher-order q-derivatives, the authors
introduce and investigate several new subclasses of the family of multivalent q-starlike functions
in the open unit disk. For each of these newly-defined function classes, several interesting
properties and characteristics are systematically derived. These properties and characteristics include
(for example) distortion theorems and radius problems. A number of coefficient inequalities and
a sufficient condition for functions belonging to the subclasses studied here are also discussed.
Relevant connections of the various results presented in this investigation with those in earlier works
on this subject are also pointed out.
Description
Keywords
multivalent functions, q-difference (or q-derivative) operator, distortion theorems, radius problem
Citation
Bilal, K., Liu, Z., Srivastava, H. M., Khan, N., Darus, M., & Tahir, M. (2020). A Study of Some Families of Multivalent q-Starlike Functions Involving Higher-Order q-Derivatives. Mathematics, 8(9), 1-12. https://doi.org/10.3390/math8091470.