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Safwane
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Hi to all II have the following question: Let f$f$ be an analytic function satisfying the functional equation: f(z)=u(z)*f(a-z)$f(z)=u(z)f(a-z)$ where "a"$a$ is a real constant. Let g$g$ be another function satisfying the same functional equation. In this case I asking if f=g$f=g$. Thank you in advance.

Hi to all I have the following question: Let f be an analytic function satisfying the functional equation: f(z)=u(z)*f(a-z) where "a" is a real constant. Let g be another function satisfying the same functional equation. In this case I asking if f=g. Thank you in advance.

I have the following question: Let $f$ be an analytic function satisfying the functional equation: $f(z)=u(z)f(a-z)$ where $a$ is a real constant. Let $g$ be another function satisfying the same functional equation. In this case I asking if $f=g$. Thank you in advance.

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Safwane
  • 1.2k
  • 8
  • 21

functional equation

Hi to all I have the following question: Let f be an analytic function satisfying the functional equation: f(z)=u(z)*f(a-z) where "a" is a real constant. Let g be another function satisfying the same functional equation. In this case I asking if f=g. Thank you in advance.