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

Mathematics

HariM. Srivastava¹  QaziZahoor Ahmad²  Bilal Khan²  Nazar Khan²  Nasir Khan³ 

[1] Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada;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;

关键词: analytic functions;    starlike and q-starlike functions;    q-derivative operator;    q-hypergeometric functions;    conic and generalized conic domains;    Hankel determinant;    Toeplitz matrices;   

DOI  :  10.3390/math7020181

来源: DOAJ

【 摘 要 】

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 $\mathbb{U}$ . 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.

【 授权许可】

Unknown