Radius Results for Certain Strongly Starlike Functions

On Certain Classes of Strongly Starlike Functions

In this paper we study functions which are strongly starlike, with the method of differential inequalities. We also give a generalization of the results obtained by the authors Milutin Obradovic and Santosh B. Joshi (1998) with new class of functions defined by q order ordinary differential operator.

Certain Integral Operator and Strongly Starlike Functions

Some properties and results for certain subclasses of starlike and convex functions

In the present paper, we introduce and investigate some properties of two subclasses $ Lambda_{n}( lambda , beta ) $ and $ Lambda_{n}^{+}( lambda , beta ) $;  meromorphic and starlike  functions of order $ beta $. In particular, several inclusion relations, coefficient estimates, distortion theorems and covering theorems are proven here for each of these function classes.

Radius of Strongly Starlikeness for Certain Analytic Functions

For analytic functions f (z) = z p +a p+1 z p+1 +··· in the open unit disk U and a polynomial Q(z) of degree n > 0, the function F(z) = f (z)[Q(z)] β/n is introduced. The object of the present paper is to determine the radius of p-valently strongly starlikeness of order γ for F(z).

Some Criteria for Strongly Starlike Multivalent Functions

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