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

Authors

  • Emmanuel Jesuyon Dansu Department of Mathematical Sciences, Federal University of Technology, Akure
  • Sunday Oluwafemi Olatunji Department of Mathematical Sciences, Federal University of Technology, Akure

DOI:

https://doi.org/10.12697/ACUTM.2018.22.05

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.

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Published

2018-06-10

Issue

Section

Articles