Coefficient Estimates for a Subclass of Analytic Functions Associated with a Certain Leaf-Like Domain

Date

2020

Authors

Khan, Bilal
Srivastava, H.M.
Khan, Nazar
Darus, Maslina
Tahir, Muhammad
Ahmad, Qazi Zahoor

Journal Title

Journal ISSN

Volume Title

Publisher

Mathematics

Abstract

First, by making use of the concept of basic (or q-) calculus, as well as the principle of subordination between analytic functions, generalization Rq(h) of the class R(h) of analytic functions, which are associated with the leaf-like domain in the open unit disk U, is given. Then, the coefficient estimates, the Fekete–Szegö problem, and the second-order Hankel determinant H2(1) for functions belonging to this class Rq(h) are investigated. Furthermore, similar results are examined and presented for the functions zf(z) and f−1(z). For the validity of our results, relevant connections with those in earlier works are also pointed out.

Description

Keywords

analytic functions, univalent functions, bounded turning functions, q-derivative (or q-difference) operator, principle of subordination between analytic functions, leaf-like domain, coefficient estimates, Taylor-Maclaurin coefficients, Fekete–Szegö problem, Hankel determinant

Citation

Khan, B., Srivastava, H. M., Khan, N., Darus, M., Tahir, M., & Ahmad, Q. Z. (2020). Coefficient Estimates for a Subclass of Analytic Functions Associated with a Certain Leaf -Like Domain. Mathematics, 8(8), 1-15. https://doi.org/10.3390/math8081334.