Hypergeometric 0F3

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The hypergeometric ${}_0F_3$ function is defined by the series $${}_0F_3(;b_1,b_2,b_3;z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{1}{(b_1)_k(b_2)_k(b_3)_k} \dfrac{z^k}{k!},$$ where $(b_1)_k$ denotes the Pochhammer symbol.

Properties

0F1(;r;z)0F1(;r;-z)=0F3(r,r/2,r/2+1/2;-z^2/4)

References

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