Bi-concave functions involving a differential operator

Authors

  • ŞAHSENE ALTINKAYA Uludag University
  • Sibel Yalçın Uludag University

DOI:

https://doi.org/10.30495/jme.v13i0.769

Keywords:

bi-concave functions, differential operator, coefficient estimates

Abstract

The purpose of the present paper is to introduce a class $\boldsymbol{D}% _{\lambda ,\delta }^{k,\alpha }C_{0}(\beta )$ of bi-concave functions defined by a differential operator. We find estimates on the Taylor-Maclaurin coefficients $\left\vert a_{2}\right\vert $ and $\left\vert a_{3}\right\vert $ for functions in this class. Several consequences of these results are also pointed out in the form of corollaries.

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Published

2019-01-08

Issue

Vol. 13

Section

Vol. 13, No. 2, (2019)

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