Applications of Chebyshev polynomials on a Sakaguchi type class of analytic functions associated with quasi-subordination

  • Emmanuel Jesuyon Dansu Department of Mathematical Sciences, Federal University of Technology, Akure
  • Sunday Oluwafemi Olatunji Department of Mathematical Sciences, Federal University of Technology, Akure
Keywords: analytic function, univalent function, Schwarz function, majorization, quasi-subordination, Chebyshev polynomial

Abstract

We introduce a class of analytic functions which is defined in terms of a quasi-subordination. Coefficient estimates including the relevant classical Fekete–Szegö inequality of functions belonging to the aforementioned class are derived. Improved results for associated classes involving subordination and majorization are also discussed.

Published
2018-06-10
Section
Articles