Operator on Hilbert space and its application to certain multivalent functions with fixed point associated with hypergeometric function

A. M. Gbolagade, D. O. Makinde

By applying hypergeometric operator on Hilbert space, the author introduces a new class of meromorphic multivalent functions with an arbitrary fixed point omega. Properties such as coefficient inequalities, distortion bounds and extreme points were derived. Furthermore, the effect of this operator on functions in this class was also investigated. 

Tbilisi Mathematical Journal, Vol. 9(2) (2016), pp. 151-157