Miklos Schweitzer 1949_7
Source:
October 2, 2008
Gaussfunctionintegrationtrigonometrycomplex numberscomplex analysiscomplex analysis unsolved
Problem Statement
Find the complex numbers for which the series
1 \plus{} \frac {z}{2!} \plus{} \frac {z(z \plus{} 1)}{3!} \plus{} \frac {z(z \plus{} 1)(z \plus{} 2)}{4!} \plus{} \cdots \plus{} \frac {z(z \plus{} 1)\cdots(z \plus{} n)}{(n \plus{} 2)!} \plus{} \cdots
converges and find its sum.