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

Bo Wang, Rekha Srivastava and Jin-Lin Liu
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Bo Wang: Department of Mathematics, Yangzhou University, Yangzhou 225002, China
Rekha Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Jin-Lin Liu: Department of Mathematics, Yangzhou University, Yangzhou 225002, China

Mathematics, 2021, vol. 9, issue 14, 1-16

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.

Keywords: analytic functions; q -difference operator; univalent and multivalent functions; Janowski functions; Fekete–Szegö inequality; distortion theorem; radii of starlikeness and convexity; partial sum; closure theorems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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