Title of article :
SOME CONVEXITY PROPERTIES FOR TWO NEW P-VALENT INTEGRAL OPERATORS
Author/Authors :
Deniz, Erhan Ataturk University - Faculty of Science - Department of Mathematics, Turkey , Caglar, Murat Ataturk University - Faculty of Science - Department of Mathematics, Turkey , Orhan, Halit Ataturk University - Faculty of Science - Department of Mathematics, Turkey
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 integral z 0 (f(t)/t)^μ dt and integral z 0 (g′(t))^μ dt are given.
Keywords :
Analytic functions , Integral operators , β , uniformly p , valent starlike and β , uniformly p , valent convex functions , Complex order
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
