Initial and Logarithmic Coefficient Bounds for Functions Associated with the Lemniscate of Bernoulli

Abstract

This paper studies coefficient problems for functions starlike with respect to symmetric points associated with the lemniscate of Bernoulli, defined by a subordination condition involving

√1 + ????. Using the Schwarz-function method, we obtain first three bounds for the initial Taylor coefficients and the first three logarithmic coefficients. These results extend coefficient-problem techniques to this class of analytic functions.