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Article

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

1
School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, China
2
Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, KP, Pakistan
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Department of Mathematics and Computer Science, Brandon University, 270 18th Street, Brandon, MB R7A 6A9, Canada
4
Research Center for Interneural Computing, China Medical University, Taichung 40402, Taiwan
5
Department of Mathematics, Yangzhou University, Yangzhou 225002, China
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(8), 670; https://doi.org/10.3390/math7080670
Received: 18 June 2019 / Revised: 18 July 2019 / Accepted: 24 July 2019 / Published: 27 July 2019
(This article belongs to the Special Issue Mathematical Analysis and Analytic Number Theory 2019)
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. View Full-Text
Keywords: multivalent functions; q-Ruschweyh differential operator; q-starlike functions; circular domain; q-Bernardi integral operator multivalent functions; q-Ruschweyh differential operator; q-starlike functions; circular domain; q-Bernardi integral operator
MDPI and ACS Style

Shi, L.; Khan, Q.; Srivastava, G.; Liu, J.-L.; Arif, M. A Study of Multivalent q-starlike Functions Connected with Circular Domain. Mathematics 2019, 7, 670. https://doi.org/10.3390/math7080670

AMA Style

Shi L, Khan Q, Srivastava G, Liu J-L, Arif M. A Study of Multivalent q-starlike Functions Connected with Circular Domain. Mathematics. 2019; 7(8):670. https://doi.org/10.3390/math7080670

Chicago/Turabian Style

Shi, Lei, Qaiser Khan, Gautam Srivastava, Jin-Lin Liu, and Muhammad Arif. 2019. "A Study of Multivalent q-starlike Functions Connected with Circular Domain" Mathematics 7, no. 8: 670. https://doi.org/10.3390/math7080670

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