COEFFICIENT BOUNDS FOR REGULAR AND BI-UNIVALENT FUNCTIONS LINKED WITH GEGENBAUER POLYNOMIALS.

Making use of Gegenbauer polynomials, we initiate and explore two sets of normalized regular and bi-univalent (or bi-Schlicht) functions in D = |z 2 C: |z| < 1g linked with Gegenbauer polynomials. We investigate certain coefficients bounds and the Fekete-Szegö functional for functions in these families. We also present few interesting observations and provide relevant connections of the results investigated. [ABSTRACT FROM AUTHOR]