Subordination for higher-order derivatives of multivalent functions.
Subordination properties for certain analytic functions.
Subordination properties for certain class of analytic functions defined by an extended multiplier transformation.
Subordination properties of -valent functions defined by integral operators.
Subordination results and integral means for -uniformly starlike functions.
Subordination results for a class of analytic functions defined by a linear operator.
Subordination results for certain classes of analytic functions associated with the convolution structure.
Subordination results for certain classes of analytic functions.
Subordination results for some subclasses of analytic functions
We introduce two classes of analytic functions related to conic domains, using a new linear multiplier Dziok-Srivastava operator
Subordination results for the family of uniformly convex -valent functions.
Subordination results on subclasses concerning Sakaguchi functions.
Subordination theorem for a family of analytic functions associated with the convolution structure.
Subordinations for certain analytic functions.
Sufficiency for Gaussian hypergeometric functions to be uniformly convex.
Sufficient conditions for Janowski starlikeness.
Sufficient conditions for meromorphic starlikeness and close-to-convexity of order .
Sufficient conditions for multivalent starlikeness
Let 𝕊*(p) be the class of functions f(z) which are p-valently starlike in the open unit disk 𝕌. Two sufficient conditions for a function f(z) to be in the class 𝕊*(p) are shown.
Sufficient conditions for -starlikeness.
Sufficient conditions for spiral-likeness.
Sufficient conditions for starlike and convex functions
For n ≥ 1, let denote the class of all analytic functions f in the unit disk Δ of the form . For Re α < 2 and γ > 0 given, let (γ,α) denote the class of all functions f ∈ satisfying the condition |f’(z) - α f(z)/z + α - 1| ≤ γ, z ∈ Δ. We find sufficient conditions for functions in (γ,α) to be starlike of order β. A generalization of this result along with some convolution results is also obtained.