Abstract
By using k-Fibonacci numbers, we present a comprehensive family of regular and biunivalent functions of the type g(z) = z+ Sigma(infinity)(j=2) d(j)z(j) in the open unit disc D. We estimate the upper bounds on initial coefficients and also the functional of Fekete-Szego for functions in this family. We also discuss few interesting observations and provide relevant connections of the result investigated.