Let f be a complex-valued function defined on an open set that is symmetric with respect to the real line, that is, z EN implies z E N. (Examples are C and D(x,r) where x R.) Set g(z) f(z), and show that if f is analytic on then 9 is also

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Let f be a complex-valued function defined on an open set that is symmetric with
respect to the real line, that is, z E N implies z N. (Examples are C and D(x, r)
where x R.) Set g(z) = f(z), and show that if f is analytic on then g is also
analytic on N.
Transcribed Image Text:Let f be a complex-valued function defined on an open set that is symmetric with respect to the real line, that is, z E N implies z N. (Examples are C and D(x, r) where x R.) Set g(z) = f(z), and show that if f is analytic on then g is also analytic on N.
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