Some starlikeness and convexity properties for two new p-valent integral operators

摘要

In this paper, we define two new general p-valent integral operators in the unit disc U and obtain the properties of p-valent starlikeness and p-valent convexity of these integral operators of p-valent functions on some classes of beta-uniformly p-valent starlike and beta-uniformly p-valent convex functions of complex order and type a (0 = alpha p). As special cases, the properties of p-valent starlikeness and p-valent convexity of the operators integral(z)(0)pt(p-1)(f(t)/t(p))(delta) dt and integral(z)(0)pt(p-1)(g't/p(tp-1))(delta) dt are given.