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- Dinggong Yang
- 2004

The object of the present paper is to derive certain sufficient conditions for univalence, p-valently starlikeness and p-valently close-to-convexity of analytic functions in the unit disk. Our results extend and improve some results due to Owa [3], Frasin and Darus [2] and Chen [1].

- Dinggong Yang
- 2002

for some α (0 α< 1). We denote by p(α) the subclass of p consisting of functions which are p-valently convex of order α in U. In particular, we denote 1(0)= . A function f(z)∈ 1 is said to be uniformly convex inU if f(z) is in the class and has the property that the image arc f(γ) is convex for every circular arc γ contained in U with center at t ∈ U. We… (More)

- Neng Xu, Dinggong Yang
- Int. J. Math. Mathematical Sciences
- 2006

- Dinggong Yang, Neng Xu
- 2012

By using the method of differential subordination, we obtain some sufficient conditions for strongly p-valent starlikeness.

- Neng Xu, Dinggong Yang
- 2007

The Carlson-Shaffer operator L(a, c)f = φ(a, c) ∗ f, where f(z) = z+ a2z + · · · is analytic in the unit disk E = {z : |z| < 1} and φ(a, c; z) is an incomplete beta function, is used to define the class T (a, c). An analytic function f belongs to T (a, c) if L(a, c)f is starlike in E. The object of the present paper is to derive some properties of functions… (More)

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