Abstract
Motivated by q-calculus, we define a new family of Sigma, which is the family of bi-univalent analytic functions in the open unit disc U that is related to the Einstein function E(z) . We establish estimates for the first two Taylor-Maclaurin coefficients vertical bar a(2)vertical bar, vertical bar a(3)vertical bar, and the Fekete-Szego inequality vertical bar a(3) - mu a(2)(2)vertical bar for the functions that belong to these families.