SOME CONVEXITY PROPERTIES FOR TWO NEW P -VALENT INTEGRAL OPERATORS

Abstract

In this paper, we define two new general p-valent integral operators in the unit disc U, and obtain the convexity properties of these integral operators of p-valent functions on some classes of β-uniformly p-valent starlike and β-uniformly p-valent convex functions of complex order. As special cases, the convexity properties of the operators R z 0 f(t) t µ dt and R z 0 (g ′ (t))µ dt are given.