Hankel and Toeplitz Determinants for a Subclass of q-Starlike Functions Associated with a General Conic Domain
Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
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
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
. 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.
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.
Srivastava HM, Ahmad QZ, 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(2):181.
Srivastava, Hari M.; Ahmad, Qazi Z.; Khan, Nasir; Khan, Nazar; Khan, Bilal. 2019. "Hankel and Toeplitz Determinants for a Subclass of q-Starlike Functions Associated with a General Conic Domain." Mathematics 7, no. 2: 181.
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