MathDB
Putnam 2010 B5

Source:

December 6, 2010
Putnamfunctionlimitintegrationinductioninequalitieslogarithms

Problem Statement

Is there a strictly increasing function f:RRf:\mathbb{R}\to\mathbb{R} such that f(x)=f(f(x))f'(x)=f(f(x)) for all x?x?