A Certain Subclass of Multivalent Analytic Functions Defined by the q-Difference Operator Related to the Janowski Functions
Date
2021
Authors
Wang, Bo
Srivastava, Rekha
Liu, Jin-Lin
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematics
Abstract
A class of p-valent analytic functions is introduced using the q-difference operator and the
familiar Janowski functions. Several properties of functions in the class, such as the Fekete–Szegö
inequality, coefficient estimates, necessary and sufficient conditions, distortion and growth theorems,
radii of convexity and starlikeness, closure theorems and partial sums, are discussed in this paper.
Description
Keywords
analytic functions, q-difference operator, univalent and multivalent functions, Janowski functions, Fekete-Szego inequality, distortion theorem, radii of starlikeness and convexity, partial sum, closure theorems
Citation
Wang, B., Srivastava, R., & Liu, J. (2021). A Certain Subclass of Multivalent Analytic Functions Defined by the q-Difference Operator Related to the Janowski Functions. Mathematics, 9(14), 1-16. https://doi.org/10.3390/math9141706.