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

By Hari M. Srivastava, Qazi Zahoor Ahmad, N. Khan, Nazar Khan, Bilal Khan. Mathematics, 2019

130 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9b5a0c5333973a45d234ea8a2ca68f4fcab934e9

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In Applied Mathematics

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Citations in the corpus

• A Study of Third Hankel Determinant Problem for Certain Subfamilies of Analytic Functions Involving Cardioid Domain (2019, background): “Recently, Srivastava and his coauthors [21] found the estimate of the second Hankel determinant for bi-univalent functions involving the symmetric q-derivative operator, while in [22], the authors studied Hankel and Toeplitz determinants for subfamilies of q-starlike functions connected with the con”
• Some general families of q-starlike functions associated with the Janowski functions (2019, unknown): “[17] investigated the Hankel and Toeplitz determinants of a subclass of q-starlike functions.”