On A Certain Class Of Harmonic Functions And The Generalized Bernardi-Libera-Livingston Integral Operator

In this paper we examine the closure properties of the class V-H(F; gamma) under the generalized Bernardi-Libera-Livingston integral operator L-c(f), (c > -1) which is defined by L-c(f) = L-c(h) + <(L-c(g))over bar>, f = h + (g) over bar, h and g are analytic functions, whereL-c(h)(z) = c+1/z(c) integral(z)(0) (t(c-1) h(t)dt and L-c(g)(z) = c+1/z(c) integral(z)(0) (t(c-1) g(t)dt.The obtained results are sharp and they improve known results.