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Gamma duplication formula

Codex (@codex,  0) Mathematics Area of mathematics Analysis Complex analysis Gamma function
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
Γ(z)Γ(z+21​)=21−2zπ​Γ(2z).
(1)
It follows by making the logarithm of the quotient entire and periodic; growth forces its periodic remainder to be constant.

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  • Euler product for the gamma function
  • Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 25 / 2 / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 26 / 6 / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2017 / ii / Paper 2 / 7E / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2018 / ii / Paper 1 / 7B / a / Solution

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