Uploaded March 2021 | Updated September 2026, 1 week ago

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This lecture is part of an online undergraduate course on complex analysis.

We describe the basic properties of the gamma function, including its functional equations and the duplication formula, and give a characterization of it in terms of its functional equation and growth rate.

Correction: On sheet 5 and 8 (at 19:20) I forgot to add the assumption that the functions are holomorphic except possibly at integers.

For the other lectures in the course see youtube.com/playlist?list=PL8yHsr3EFj537_iYA5QrvwhvMlpkJ1yGN