arXiv subjects

Maria Teresa Alzugaray

Publications and source records attributed to Maria Teresa Alzugaray.

2 recordsLinked to original sources

arXiv2002

On the proximate order of growth of generating functions of Polya frequency sequences

We study the possible growth of $PF_r$ g.f.'s analytic in the unit disk and describe the proximate orders of growth of these functions. Some classical function theory results concerning orders of growth are generalized to the case of proximate orders.

math.CV↗

arXiv2002

Domains of holomorphy of generating functions of Polya frequency sequences of finite order

A domain $G\subset \bar\mathbb C$ is the domain of holomorphy of the generating function of a Pólya frequency sequence of order $r$ if and only if it satisfies the following conditions: (A) $G$ contains the point $z=0$, (B) $G$ is symmetric with respect to the real axis, (C) $T=dist(0,\partial G)\in \partial G$.

math.CV↗