Subclasses of Bi-Univalent Functions Associated with q−Confluent Hypergeometric Distribution Based Upon the Horadam Polynomials

Abstract

In this paper, we introduce new subclasses of analytic and bi-univalent functions connected with a qconfluent hypergeometric distribution by using the Horadam polynomials. Furthermore, we find estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3| for functions in these subclasses and obtain Fekete-Szegö problem for these subclasses.

Keywords

• q-derivative
• horadam polynomials
• bi-univalent
• coefficients bounds
• confluent hypergeometric distribution