On the proximate order of growth of generating functions of Polya frequency sequences
Complex Variables
2007-05-23 v1
Abstract
We study the possible growth of 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.
Cite
@article{arxiv.math/0210429,
title = {On the proximate order of growth of generating functions of Polya frequency sequences},
author = {Maria Teresa Alzugaray},
journal= {arXiv preprint arXiv:math/0210429},
year = {2007}
}
Comments
26 pages, to appear in Computational Methods and Function Theory