I am working on a physics problem where the solution depends on the hypergeometric function. My solution ends up being:
$ _1F_2(1;b,b+1;z)$
where b is a complex number. I have to transform this function to a form like:
$ _1F_2(a_1;b_1,c_1;z_1)$
where a,b, and c are real numbers. I have been looking around for a useful identity but no success so for. I appreciate any comments or suggestions.