Hypergeometric 2F0

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The hypergeometric ${}_2F_0$ is defined by $${}_2F_0(a,b;;z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{(a)_k(b)_k z^k}{k!},$$ where $(a)_k$ denotes the Pochhammer symbol and $k!$ denotes the factorial.

Properties

Bessel polynomial generalized hypergeometric
2F0(a,b;;z)2F0(a,b;;-z)=4F1(a,b,a/2+b/2,a/2+b/2+1/2;a+b;4z^2)

References

Hypergeometric functions