Fekete-Szegö Type Problems and Their Applications for a Subclass of q-Starlike Functions with Respect to Symmetrical Points
Date
2020
Authors
Srivastava, H.M.
Khan, Nazar
Darus, Maslina
Khan, Shahid
Ahmad, Qazi Zohoor
Hussain, Saqib
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematics
Abstract
In this article, by using the concept of the quantum (or q-) calculus and a general conic domain [Math Processing Error], 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.
Description
Keywords
analytic functions, Quantum (or q-) calculus, conic domain, q-derivative operator, Hankel determinant, Toeplitz matrices, Fekete-Szegö problem, q-Bernardi integral operator
Citation
Srivastava, H. M.; Khan, N.; Darus, M.; Khan, S.; Ahmad, Q. Z.; & Hussain, S. (2020). Fekete-Szegö type problems and their applications for a subclass of q-starlike functions with respect to symmetrical points. Mathematics, 8(5), DOI: 10.3390/math8050842