SOME CONVEXITY PROPERTIES FOR TWO NEW P -VALENT INTEGRAL OPERATORS

Authors : Erhan DENİZ, Murat ÇAĞLAR ,  halit ORHAN

Pages : 829-837

View : 24 | Download : 7

Publication Date : 2011-06-01

Article Type : Research Paper

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 finsert ignore into journalissuearticles values(t); t µ dt and R z 0 insert ignore into journalissuearticles values(g ′ insert ignore into journalissuearticles values(t););µ dt are given.
Keywords : Analytic functions, Integral operators, β uniformly p valent starlike and β uniformly p valent convex functions, Complex order, 2000 AMS Classification Primary 30 C 80 Secondary 30 C 45