A Certain Subclass of Multivalent Analytic Functions Defined by the <i>q</i>-Difference Operator Related to the Janowski Functions

A Certain Subclass of Multivalent Analytic Functions Defined by the <i>q</i>-Difference Operator Related to the Janowski Functions

A class of <i>p</i>-valent analytic functions is introduced using the <i>q</i>-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 condition...

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Bibliographic Details
Main Authors: Bo Wang, Rekha Srivastava, Jin-Lin Liu
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Mathematics
Subjects:
analytic functions
<i>q</i>-difference operator
univalent and multivalent functions
Janowski functions
Fekete–Szegö inequality
distortion theorem
Online Access:https://www.mdpi.com/2227-7390/9/14/1706
Description
Summary:A class of <i>p</i>-valent analytic functions is introduced using the <i>q</i>-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.
ISSN:2227-7390

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