A Study of Multivalent q -starlike Functions Connected with Circular Domain

Lei Shi, Qaiser Khan, Gautam Srivastava, Jin-Lin Liu and Muhammad Arif
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Lei Shi: School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, China
Qaiser Khan: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, KP, Pakistan
Gautam Srivastava: Department of Mathematics and Computer Science, Brandon University, 270 18th Street, Brandon, MB R7A 6A9, Canada
Jin-Lin Liu: Department of Mathematics, Yangzhou University, Yangzhou 225002, China
Muhammad Arif: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, KP, Pakistan

Mathematics, 2019, vol. 7, issue 8, 1-12

Abstract: Starlike functions have gained popularity both in literature and in usage over the past decade. In this paper, our aim is to examine some useful problems dealing with q -starlike functions. These include the convolution problem, sufficiency criteria, coefficient estimates, and Fekete–Szegö type inequalities for a new subfamily of analytic and multivalent functions associated with circular domain. In addition, we also define and study a Bernardi integral operator in its q -extension for multivalent functions. Furthermore, we will show that the class defined in this paper, along with the obtained results, generalizes many known works available in the literature.

Keywords: multivalent functions; q -Ruschweyh differential operator; q -starlike functions; circular domain; q -Bernardi integral operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (9)

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