SOME CONVEXITY PROPERTIES FOR TWO NEW P -VALENT INTEGRAL OPERATORS

Year 2011, Volume: 40 Issue: 6, 829 - 837, 01.06.2011

Erhan Deniz Murat Çağlar  halit Orhan

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.

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

SOME CONVEXITY PROPERTIES FOR TWO NEW P -VALENT INTEGRAL OPERATORS

Abstract

References

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