Hypergeometric 0F1
From specialfunctionswiki
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
Relationship between Bessel-Clifford and hypergeometric 0F1
0F1(;r;z)0F1(;s;z)=2F1(r/2+s/2, r/2+s/2-1/2;r,s,r+s-1;4z)
0F1(;r;z)0F1(;r;-z)=0F3(r,r/2,r/2+1/2;-z^2/4)
