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

Hari M. Srivastava, Qazi Zahoor Ahmad, Nasir Khan, Nazar Khan and Bilal Khan
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Hari M. Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Qazi Zahoor Ahmad: Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
Nasir Khan: Department of Mathematics, FATA University, Akhorwal (Darra Adam Khel), FR Kohat 26000, Pakistan
Nazar Khan: Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
Bilal Khan: Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan

Mathematics, 2019, vol. 7, issue 2, 1-15

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.

Keywords: analytic functions; starlike and q -starlike functions; q -derivative operator; q -hypergeometric functions; conic and generalized conic domains; Hankel determinant; Toeplitz matrices (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 (15)

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