Certain properties of multivalent analytic functions defined by $ q $-difference operator involving the Janowski function

Bo Wang; Rekha Srivastava; Jin-Lin Liu; Bo Wang; Rekha Srivastava; Jin-Lin Liu

doi:10.3934/math.2021493

AIMS Mathematics

2021, Volume 6, Issue 8: 8497-8508. doi: 10.3934/math.2021493

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Research article

Certain properties of multivalent analytic functions defined by $ q $-difference operator involving the Janowski function

1.
Department of Mathematics, Yangzhou University, Yangzhou 225002, China
2.
Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada

Received: 28 January 2021 Accepted: 31 May 2021 Published: 04 June 2021
MSC : 05A30, 11B65, 30C45, 47B38

A new subclass of multivalent analytic functions is defined by means of $ q $-difference operator and Janowski function. Some properties of functions in this new subclass such as sufficient and necessary conditions, coefficient estimates, growth and distortion theorems, radii of starlikeness and convexity, partial sums and closure theorems are studied.
- $ q $-difference operator,
- Janowski function,
- multivalent analytic function,
- distortion theorem,
- radii of starlikeness and convexity,
- partial sum,
- closure theorem
Citation: Bo Wang, Rekha Srivastava, Jin-Lin Liu. Certain properties of multivalent analytic functions defined by $ q $-difference operator involving the Janowski function[J]. AIMS Mathematics, 2021, 6(8): 8497-8508. doi: 10.3934/math.2021493

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Abstract

A new subclass of multivalent analytic functions is defined by means of $ q $-difference operator and Janowski function. Some properties of functions in this new subclass such as sufficient and necessary conditions, coefficient estimates, growth and distortion theorems, radii of starlikeness and convexity, partial sums and closure theorems are studied.

References

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