On Some Results for Starlike Functions of Complex Order
On some results for -spiral functions of order .
On some results for -spirallike functions of complex order of higher-order derivatives of multivalent functions.
On some simple sufficient conditions for univalence
In this paper some simple conditions on and which lead to some subclasses of univalent functions will be considered.
On some subclasses of harmonic functions defined by fractional calculus.
On some subclasses of starlike and convex functions.
On some subclasses of univalent functions.
On some sufficient conditions for univalence.
On some theorems on distortion and rotation in the class of k-symmetrical starlike functions of order α
On some -convex functions.
On Spaces of Kleinian Groups
On spirallike functions of order and type with fixed second coefficient
On s-sets and mutual absolute continuity of measures on homogeneous spaces.
On stable polynomials
The article is a survey on problem of the theorem of Hurwitz. The starting point of explanations is Schur's decomposition theorem for polynomials. It is showed how to obtain the well-known criteria on the distribution of roots of polynomials. The theorem on uniqueness of constants in Schur's decomposition seems to be new.
On starlike and convex functions with respect to -symmetric points.
On starlikeness and close-to-convexity of certain analytic functions.
On starlikeness and convexity of analytic functions satisfying a differential inequality.
On starlikeness of certain integral transforms
Let A denote the class of normalized analytic functions in the unit disc U = z: |z| < 1. The author obtains fixed values of δ and ϱ (δ ≈ 0.308390864..., ϱ ≈ 0.0903572...) such that the integral transforms F and G defined by and are starlike (univalent) in U, whenever f ∈ A and g ∈ A satisfy Ref’(z) > -δ and Re g’(z) > -ϱ respectively in U.
On strong starlikeness criteria of -valent functions
H. Silverman (1999) investigated the properties of functions defined in terms of the quotient of the analytic representations of convex and starlike functions. Many research workers have been working on analytic functions to be strongly starlike like Obradović and Owa (1989), Takahashi and Nunokawa (2003), Lin (1993) etc. In this paper we obtain a sufficient condition for -valent functions to be strongly starlike of order .
On subclass of analytic univalent functions associated with negative coefficients.