J. Sokół
Department of Mathematics, Institute of Mathematics, University of Rzeszow, ul. Rejtana 16A, 35-310 Rzeszow, Poland.
[ 1 ] - Applications of convolution and subordination to certain $p$-valent functions
In this paper we considered some new classes of multivalent functions by using Aouf-Silverman-Srivastava operator and derived some important results using convolution and subordination technique. This new class is an extension of a class which introduced before.
[ 2 ] - Sufficient conditions for univalence and starlikeness
It is known that the condition $mathfrak {Re} left{zf'(z)/f(z)right}>0$, $|z|
[ 3 ] - Polynomially bounded solutions of the Loewner differential equation in several complex variables
We determine the form of polynomially bounded solutions to the Loewner differential equation that is satisfied by univalent subordination chains of the form $f(z,t)=e^{int_0^t A(tau){rm d}tau}z+cdots$, where $A:[0,infty]rightarrow L(mathbb{C}^n,mathbb{C}^n)$ is a locally Lebesgue integrable mapping and satisfying the condition $$sup_{sgeq0}int_0^inftyleft|expleft{int_s^t [A(tau)...
[ 4 ] - Some properties of analytic functions related with bounded positive real part
In this paper, we define new subclass of analytic functions related with bounded positive real part, and coefficients estimates, duality and neighborhood are considered.
[ 5 ] - Sufficient Inequalities for Univalent Functions
In this work, applying Lemma due to Nunokawa et. al. cite{NCKS}, we obtain some sufficient inequalities for some certain subclasses of univalent functions.