Third Hankel Determinant for the Logarithmic Coefficients of Starlike Functions Associated with Sine Function

The logarithmic functions have been used in a verity of areas mathematics and other sciences. As far as we know, no one has the coefficients to determine bounds for third Hankel determinant. In our present investigation, first study some well-known classes starlike then determinant bound certain subclasses that also involve sine functions. We obtain number coefficient estimates. Some results are shown be sharp.