Sharp Coefficients Bounds for Starlike Functions Associated with Generalized Telephone Numbers

In this paper, we introduced the class S*(T)(lambda) of analytic functions which is related to starlike functions and generating function of generalized telephone numbers. By using bounds on some coefficient functionals for the family of functions with positive real part, we obtain for functions in the class S*(T)(lambda) several sharp coefficient bounds on the first six coefficients and also further sharp bounds on the corresponding Hankel determinants.

Automated summary

This paper introduces a class of analytic functions related to starlike functions and generating function of generalized telephone numbers. By using bounds on some coefficient functionals, sharp coefficient bounds on the first six coefficients and corresponding Hankel determinants are obtained for functions in this class.