I have a generalized hypergeometric funtion of the following form $$\,_3F_2\left(\frac{1}{2},\frac{\beta }{2},\frac{1}{4} (\beta +2 p-2);\frac{\beta +1}{2},\frac{1}{4} (\beta +2 p+5);1\right)$$ where $\beta$ can take integer values $2,1,0,-1,\ldots$ and $p = 0$ or, $\frac{1}{2}$. Is it possible to express this function in terms of gamma-functions?
2026-04-08 03:50:05.1775620205
Expressing ${_3F_2}$ in terms of gamma functions
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