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

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...

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Veröffentlicht in:Mathematics (Basel) 2019-02, Vol.7 (2), p.181
Hauptverfasser: Srivastava, Hari, Ahmad, Qazi, Khan, Nasir, Khan, Nazar, Khan, Bilal
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Sprache:eng
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Zusammenfassung: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7020181