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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2021-07-01
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Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/9/14/1706 |
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. |
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ISSN: | 2227-7390 |