I have begun reading Bruce Berndt’s “Ramanujan’s Notebooks”, Part III. Here is a small morsel from Ramanujan’s table: Entry 1(ii) of Chapter 16 of his Notebooks. Its a discovery proof of the limit of the q-Gamma function, as q goes to 1. In my humble opinion, this is easier than the usual proof (due to Gosper) which appears in Gasper and Rahman.
The q-analog of the Gamma Function
1–2 minutes
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