Coefficient inequalities for a class of analytic functions associated with the lemniscate of Bernoulli

Abstract

In this paper, a new subclass of analytic functions M L * λ associated with the right half of the lemniscate of Bernoulli is introduced. The sharp upper bound for the Fekete-Szegö functional |a 3 − µa 2 2 | for both real and complex µ are considered. Further, the sharp upper bound to the second Hankel determinant |H 2 (1)| for the function f in the class M L * λ using Toeplitz determinant is studied. Relevances of the main results are also briefly indicated.