On the rate of growth of entire functions of fast growth

Daihachiro Sato
1963 Bulletin of the American Mathematical Society  
1. Introduction. The purpose of this note is to generalize the following well-known formula to give the order p and type a of an entire function/(s) = J^T-o a nZ n with M{r) =max| z |" r \f(z)\, that is [l; 2],
doi:10.1090/s0002-9904-1963-10951-9 fatcat:on3xlnnbhvekjiqgddkee5aona