Schottky's theorem
id:
schottky-s-theorem-232-4698636
title:
Schottky's theorem
text:
In mathematical complex analysis, Schottky's theorem, introduced by Schottky (1904) is a quantitative version of Picard's theorem. It states that for a holomorphic function f in the open unit disk that does not take the values 0 or 1, the value of |f(z)| can be bounded in terms of z and f(0). Schottky's original theorem did not give an explicit bound for f. Ostrowski (1931, 1933) gave some weak explicit bounds. Ahlfors (1938, theorem B) gave a strong explicit bound, showing that if f is holomorp
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Schottky%27s_theorem
date created:
date modified:
2023-06-21T16:47:50Z
main entity:
{"identifier":"Q15214697","url":"https://www.wikidata.org/entity/Q15214697"}
image:
fields total:
13
integrity:
13