Strongly starlike and spirallike functions

Generalizations of Strongly Starlike Functions

By using functions of bounded variation we generalize the class of strongly starlike functions and related classes. The main object is to obtain characterizations and inclusion properties of these classes of functions.

Certain Integral Operator and Strongly Starlike Functions

Some Criteria for Strongly Starlike Multivalent Functions

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

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.

Angle distortion theorems for starlike and spirallike functions with respect to a boundary point

It is clear that 0∈ h(Δ). Moreover, (i) if 0 ∈ h(Δ), then h is called spirallike (resp., starlike) with respect to an interior point; (ii) if 0 ∈ h(Δ), then h is called spirallike (resp., starlike) with respect to a boundary point. In this case, there is a boundary point (say, z = 1) such that h(1) := ∠ limz→1h(z)= 0 (see, e.g., [1, 6]); by symbol∠ lim, we denote the angular (nontangential) lim...