84.2 Power Series 1. Function series Def.4.2.1(,(=)(n=1, 2, is a complex function sequences, defined on complex domain d ∑m()=f(-)+/(-)+…+m()+ n=1 is called complex function series yZo∈D,20 is the converge point of∑()i∑f(= 0丿 converge. Convergence domain=zE DZf(=) converge S(a)=>/(), 2 convergence domain, is called sum function§4.2 Power Series  ( )( ) ( ) 1 2 ( ) ( ) ( ) 1 Def. 4.2.1 1,2,... is a complex function sequences,defined on complex domain D, ... ... is called complex function series. n n n n f z n f z f z f z f z  = =  = + + + + 1.Function Series ( ) ( ) ( ) ( ) 0 0 0 1 1 1 1 z D,z is the converge point of ,if converge. Convergence domain= | ( ) , ,is called sum function. n n n n n n n n f z f z z D f z converge S z f z z convergence domain   = =  =  =          =     