Title: Ramanujan Explained 3: Heine’s method
Speaker: Gaurav Bhatnagar (Ashoka University)
When: Thursday, May 23, 2024, 4:00 PM- 5:00 PM IST
Where: Zoom: Write to the organisers (sfandnt at gmail dot com) for the link
Abstract
We explain what Andrews and Berndt call Heine’s method. This is a simple technique which gives many important and useful transformation formulas. The method is one used by Heine in what was the beginning of basic hypergeometric series, and this is one technique you need in your tool kit. Of course, Ramanujan rediscovered the key results due to Heine, and found many more. This lecture (and exercises) will have many entries from Ramanujan’s Chapter 16, and from the Lost Notebook. Andrews has suggested Heine’s method is behind the discovery of the famous mock theta functions—but that story we will tell another time.
Viewers in China: please use this link (courtesy Shishuo Fu and group)
Ramanujan Explained 