5. A Subclass of − valent Functions for Operators On A Hilbert Space

O. Fagbemiro1*, E. Ukeje2 and A.T. Oladipo3
1Department of Mathematics, Federal University Agriculture Abeokuta, Abeokuta, Nigeria, P.M.B. 2240, Abeokuta, Nigeria.
2Department of Mathematics, Michael Okpara University of Agriculture Umudike
P.M.B. Umuahia, Nigeria.
3Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso,
Nigeria, P.M.B. 4000, Ogbomoso, Nigeria.

Abstract
In this article, the authors investigated a new subclass of analytic functions for
operators on a Hilbert space relating to the unit disk .. = {.. ¸ .: |..| < ..}.

Interesting results on coefficient estimates, distortion theorem were pointed out forthis subclasses.

Keywords: Univalent function, coefficient estimate, distortion theorem.