Two Meromorphic Functions Share Some Pairs of Small Functions.

Autor: Si, Duc
Zdroj: Complex Analysis & Operator Theory; Aug2013, Vol. 7 Issue 4, p1357-1370, 14p
Abstrakt: In this article, we prove that two meromorphic functions $$f$$ and $$g$$ must be linked by a quasi-Möbius transformation if they share two pairs of small functions ignoring multiplicities and share other four small functions with multiplicities truncated by 2. We also show that two meromorphic functions which share seven pairs of small functions ignoring multiplicities are linked by a quasi-Möbius transformation. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index