Hermite class
id:
hermite-class-235-13550795
title:
Hermite class
text:
The Hermite or Pólya class is a set of entire functions satisfying the requirement that if E(z) is in the class, then: E(z) has no zero (root) in the upper half-plane. | E ( x + i y ) | ≥ | E ( x − i y ) | for x and y real and y positive. | E ( x + i y ) | is a non-decreasing function of y for positive y. The first condition (no root in the upper half plane) can be derived from the third plus a condition that the function not be identically zero. The second condition is not implied by the third,
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Hermite_class
date created:
date modified:
2023-08-18T13:12:10Z
main entity:
{"identifier":"Q7264799","url":"https://www.wikidata.org/entity/Q7264799"}
image:
fields total:
13
integrity:
13