Results on a certain class of analytic functions associated with Chebyshev polynomial

Abstract

In this work, it was established that Chebyshev polynomial of the second kind belongs to the class of functions with positive real part. The convolution of the Chebyshev polynomial and modified sigmoid function was established to also give functions which belong to the class of functions with positive real part. Further more, subordination principle was used to establish new classes of functions. The coefficient bounds for the new classes of functions defined in the work were obtained.

Keywords

• 30C45
• 30C50