1 23 P L LLL Let an be a bounded sequence of complex numbers Show that for each 0 the series 1 ann converges uniformly for Rez 1

Question

1 23 P L LLL Let an be a bounded sequence of complex numbers Show that for each 0 the series 1 ann converges uniformly for Rez 1 Here we choose the principal branch of n 00 K Solution ann an C Rez 1 Apply Weierstrass M test ann Cn Rez n 1 Mn Mn an converges uniformly for Rez 1 E

Kunduz · Accepted Answer

Click to see the answer