Difference between revisions of "Hypergeometric 2F0"

From specialfunctionswiki
Jump to: navigation, search
(Created page with "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...")
 
 
(2 intermediate revisions by the same user not shown)
Line 4: Line 4:
  
 
=Properties=
 
=Properties=
 +
[[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=
 +
 +
{{:Hypergeometric functions footer}}
 +
  
 
[[Category:SpecialFunction]]
 
[[Category:SpecialFunction]]

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)

References

Hypergeometric functions