I’m doing something that I should have done a long time ago: collecting a series of posts into one single post. The links below show my series on the incomplete gamma function and the confluent hypergeometric function.
Part 1: Introduction
Part 2: Direct confirmation
Part 3: Start of the derivation
Part 4: Link to Pascal’s triangle
Part 5: Visualization of key property of Pascal’s triangle
Part 6: Formal proof of key property
Part 7: Putting it all together