ComplexExpand of Hypergeometric function

Asked Jul 02 '22 at 20:05

Active Jul 02 '22 at 20:08

Viewed 52 times

I would like to take the derivative of the absolute-squared value of a hypergeometric function and plot the result, for real arguments

D[ComplexExpand[Conjugate[Hypergeometric2F1[I s, I p, 1, x]]Hypergeometric2F1[I s, I p, 1, x]], x]

but the result is given in terms of the undefined function

Im'

I thought that ComplexExpand is supposed to be used to avoid this problem, it helps with some simple functions (like Sin[x]) but not with 2F1. Is there a better way to plot the derivative? Note s,p,x are real.

edited Jul 02 '22 at 20:08

J. M.'s missing motivation

124,525
11
401
574

asked Jul 02 '22 at 20:05

kotozna

4

Generally, ComplexExpand[] is not equipped to handle special functions like Hypergeometric2F1[]. In the meantime, have you already seen this? – J. M.'s missing motivation Jul 02 '22 at 20:08

ComplexExpand of Hypergeometric function

0 Answers0