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Class of Analytic Functions Defined by q-Integral Operator in a Symmetric Region

School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, China
Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus 22010, Pakistan
Department of Mathematics, Abdul Wali Khan University Mardan, 23200 Mardan, Pakistan
Author to whom correspondence should be addressed.
Symmetry 2019, 11(8), 1042;
Received: 19 July 2019 / Revised: 8 August 2019 / Accepted: 9 August 2019 / Published: 13 August 2019
(This article belongs to the Special Issue Integral Transformations, Operational Calculus and Their Applications)
PDF [272 KB, uploaded 13 August 2019]


The aim of the present paper is to introduce a new class of analytic functions by using a q-integral operator in the conic region. It is worth mentioning that these regions are symmetric along the real axis. We find the coefficient estimates, the Fekete–Szegö inequality, the sufficiency criteria, the distortion result, and the Hankel determinant problem for functions in this class. Furthermore, we study the inverse coefficient estimates for functions in this class. View Full-Text
Keywords: analytic functions; q-integral operator; conic region analytic functions; q-integral operator; conic region
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Shi, L.; Raza, M.; Javed, K.; Hussain, S.; Arif, M. Class of Analytic Functions Defined by q-Integral Operator in a Symmetric Region. Symmetry 2019, 11, 1042.

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