Applications of Borel distribution series on holomorphic and bi-univalent functions

In present manuscript, we introduce and study two families BS(l, d; a) and B * S (l, d; b) of holomorphic and bi-univalent functions which involve the Borel distribution series. We establish upper bounds for the initial Taylor-Maclaurin coefficients |a2| and |a3| for functions in each of these families. We also point out special cases and consequences of our results.