Gamma
Hand is our truth. Hand has fingers. Thumb and other fingers. (n-1). Recursive is necessary. (n-1)!
Beta
Paper is our truth. We spend time. t. We leave blank. (1-t). Euler gave numbers through e to the power i into pi. So t and (1-t) to the power complex functions.
Marks deduction
(Complex number -1) is not so clear. Not clear that Gamma can also be of complex numbers. Lot of assumptions. It is philosophy.
I feel 130 out of 200 marks. For Gamma function and Beta functions.
Kids. Can I pass exams 😫?
😆😆😆😍😍😍
Mock theta functions of Ramanujan should be interesting then.
ReplyDeleteCambridge University had interest in Mock theta of Ramanujan. George Neville Watson studied Ramanujan Mock theta functions.
Mock theta functions were the last works of Ramanujan.
ReplyDeleteHe did them for one year. After returning from England.
Then he died.
He wrote a letter about mock theta functions to Professor Hardy.
ReplyDeleteBut Watson studied Mock theta functions of Ramanujan. He spent many years on them.