Difference between revisions of "Hypergeometric 0F1"

From specialfunctionswiki
Jump to: navigation, search
(Created page with "The hypergeometric ${}_0F_1$ is defined by the series $${}_0F_1(;a;z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{z^k}{(a)_k k!},$$ where $(a)_k$ denotes the Pochhammer symbol...")
 
Line 4: Line 4:
  
 
=Properties=
 
=Properties=
 +
[[Relationship between cosine and hypergeometric 0F1]]<br />
 +
[[Relationship between sine and hypergeometric 0F1]]<br />
 +
[[Relationship between cosh and hypergeometric 0F1]]<br />
 +
[[Relationship between sinh and hypergeometric 0F1]]<br />
 +
[[Relationship between Bessel J sub nu and hypergeometric 0F1]]<br />
  
 
=References=
 
=References=
  
 
[[Category:SpecialFunction]]
 
[[Category:SpecialFunction]]

Revision as of 05:22, 5 July 2016

The hypergeometric ${}_0F_1$ is defined by the series $${}_0F_1(;a;z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{z^k}{(a)_k k!},$$ where $(a)_k$ denotes the Pochhammer symbol and $k!$ denotes the factorial.

Properties

Relationship between cosine and hypergeometric 0F1
Relationship between sine and hypergeometric 0F1
Relationship between cosh and hypergeometric 0F1
Relationship between sinh and hypergeometric 0F1
Relationship between Bessel J sub nu and hypergeometric 0F1

References