On certain subclasses of uniformly spirallike functions associated with struve functions

Abstract

The main object of this paper is to find necessary and sufficient conditions for generalized Struve functions of first kind to be in the classes SP_p(α,β) and UCSP(α,β) of uniformly spirallike functions and also give necessary and sufficient conditions for z(2 − up(z)) to be in the above classes. Furthermore, we give conditions for the integral operator L(m,c,z) = \int_{0}^{z} (2 − u_p(t))dt to be in the class UCSPT(α,β). Several corollaries and consequences of the main results are also considered.