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 strong tracts of subharmonic functions of infinite lower order
The notion of a strong asymptotic tract for subharmonic functions is defined. Eremenko's value b(∞,u) for subharmonic functions is introduced and it is used to provide an exact upper estimate of the number of strong tracts of subharmonic functions of infinite lower order. It is also shown that b(∞,u) ≤ π for subharmonic functions of infinite lower order.
On subclass of analytic univalent functions associated with negative coefficients.
On subclasses of close-to-convex and quasi-convex functions with respect to -symmetric conjugate points.
On subclasses of close-to-convex functions of higher order.
On subnormal solutions of periodic differential equations.
On subordination and superordination of new multiplier transformation.
On subordination and superordination of the multiplier transformation for meromorphic functions.
On subordination for classes of non-Bazilevič type
We give some subordination results for new classes of normalized analytic functions containing differential operator of non-Bazilevič type in the open unit disk. By using Jack's lemma, sufficient conditions for this type of operator are also discussed.
On subordination of certain subclass of analytic functions.
On subordination result associated with certain subclass of analytic functions involving Salagean operator.
On subordinations for certain multivalent analytic functions associated with the generalized hypergeometric function.
On sufficient conditions and angular properties of starlikeness and convexity for the class of multivalent Bazilević functions.