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Mathematics 2019, 7(2), 181; https://doi.org/10.3390/math7020181

Hankel and Toeplitz Determinants for a Subclass of q-Starlike Functions Associated with a General Conic Domain

1
Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
2
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
3
Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
4
Department of Mathematics, FATA University, Akhorwal (Darra Adam Khel), FR Kohat 26000, Pakistan
*
Author to whom correspondence should be addressed.
Received: 29 January 2019 / Revised: 11 February 2019 / Accepted: 12 February 2019 / Published: 15 February 2019
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Abstract

By using a certain general conic domain as well as the quantum (or q-) calculus, here we define and investigate a new subclass of normalized analytic and starlike functions in the open unit disk U . In particular, we find the Hankel determinant and the Toeplitz matrices for this newly-defined class of analytic q-starlike functions. We also highlight some known consequences of our main results. View Full-Text
Keywords: analytic functions; starlike and q-starlike functions; q-derivative operator; q-hypergeometric functions; conic and generalized conic domains; Hankel determinant; Toeplitz matrices analytic functions; starlike and q-starlike functions; q-derivative operator; q-hypergeometric functions; conic and generalized conic domains; Hankel determinant; Toeplitz matrices
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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Srivastava, H.M.; Ahmad, Q.Z.; Khan, N.; Khan, N.; Khan, B. Hankel and Toeplitz Determinants for a Subclass of q-Starlike Functions Associated with a General Conic Domain. Mathematics 2019, 7, 181.

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