18. Let f: G → C and g: G → C be branches of zª and zº respectively. Show that fg is a branch of zª+b and flg is a branch of zªb. Suppose that f(G) < G and g(G) G and prove that both fog and go fare branches of zab.

Advanced Engineering Mathematics
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18. Let f: G → C and g: G → C be branches of zª and zº respectively. Show
that fg is a branch of zª+b and f/g is a branch of zª¯b. Suppose that ƒ(G) ≤ G
and g(G) G and prove that both fog and go fare branches of zªb.
с
Transcribed Image Text:18. Let f: G → C and g: G → C be branches of zª and zº respectively. Show that fg is a branch of zª+b and f/g is a branch of zª¯b. Suppose that ƒ(G) ≤ G and g(G) G and prove that both fog and go fare branches of zªb. с
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