ﻻ يوجد ملخص باللغة العربية
We study the signature pair for certain group-invariant Hermitian polynomials arising in CR geometry. In particular, we determine the signature pair for the finite subgroups of $SU(2)$. We introduce the asymptotic positivity ratio and compute it for cyclic subgroups of $U(2)$. We calculate the signature pair for dihedral subgroups of $U(2)$.
We propose an algorithm for producing Hermite-Pade polynomials of type I for an arbitrary tuple of $m+1$ formal power series $[f_0,dots,f_m]$, $mgeq1$, about $z=0$ ($f_jin{mathbb C}[[z]]$) under the assumption that the series have a certain (`general
Define a subset of the complex plane to be a Rolles domain if it contains (at least) one critical point of every complex polynomial P such that P(-1)=P(1). Define a Rolles domain to be minimal if no proper subset is a Rolles domain. In this paper, we investigate minimal Rolles domains.
We consider the problem of zero distribution of the first kind Hermite--Pade polynomials associated with a vector function $vec f = (f_1, dots, f_s)$ whose components $f_k$ are functions with a finite number of branch points in plane. We assume that
In this paper we shall use the boundary Schwarz lemma of Osserman to obtain some generalizations and refinements of some well known results concerning the maximum modulus of the polynomials with restricted zeros due to Turan, Dubinin and others.
In this paper, we study a special exhaustion function on almost Hermitian manifolds and establish the existence result by using the Hessian comparison theorem. From the viewpoint of the exhaustion function, we establish related Schwarz type lemmas fo