Watson's Theorem

$${}_3F_2\left[{\matrix{a, b, c\cr {\textstyle{1\over 2}}(a+b+... ...a+c)\Gamma({\textstyle{1\over 2}}-{\textstyle{1\over 2}}b+c)},$$

where ${}_3F_2(a,b,c;d,e;z)$ is a Generalized Hypergeometric Function and $\Gamma(z)$ is the Gamma Function.