
doi: 10.3390/math8050842
In this article, by using the concept of the quantum (or q-) calculus and a general conic domain Ω k , q , we study a new subclass of normalized analytic functions with respect to symmetrical points in an open unit disk. We solve the Fekete-Szegö type problems for this newly-defined subclass of analytic functions. We also discuss some applications of the main results by using a q-Bernardi integral operator.
analytic functions, <i>q</i>-Bernardi integral operator, Hankel determinant, quantum (or <i>q</i>-) calculus, Toeplitz matrices, QA1-939, Fekete-Szegö problem, <i>q</i>-derivative operator, Mathematics, conic domain
analytic functions, <i>q</i>-Bernardi integral operator, Hankel determinant, quantum (or <i>q</i>-) calculus, Toeplitz matrices, QA1-939, Fekete-Szegö problem, <i>q</i>-derivative operator, Mathematics, conic domain
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