Using Mathematica or otherwise, how can I needfind a closed form-form expression (in terms of any elementary functions) of $$ {}_5F_4\left ( 1,1,1,1,1;\frac{3}{2},2,2,2;-\frac{1}{4} \right ) $$ Here$$ {}_5F_4\left ( 1,1,1,1,1;\frac{3}{2},2,2,2;-\frac{1}{4} \right ),$$ where ${}_5F_4$ represents the Hypergeometrichypergeometric function.?
Thank you for your time.
HypergeometricPFQ[{1, 1, 1, 1, 1}, {3/2, 2, 2, 2}, -1/4]