Difference between revisions of "Hypergeometric 2F0"
From specialfunctionswiki
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=Properties= | =Properties= | ||
[[Bessel polynomial generalized hypergeometric]]<br /> | [[Bessel polynomial generalized hypergeometric]]<br /> | ||
| + | [[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)]]<br /> | ||
=References= | =References= | ||
Latest revision as of 20:27, 17 June 2017
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)
