Difference between revisions of "Bateman F"
From specialfunctionswiki
| Line 7: | Line 7: | ||
=References= | =References= | ||
* {{PaperReference|Some Properties of a certain Set of Polynomials|1933|Harry Bateman}} $3.$ | * {{PaperReference|Some Properties of a certain Set of Polynomials|1933|Harry Bateman}} $3.$ | ||
| + | * {{BookReference|Special Functions|1960|Earl David Rainville|prev=findme|next=Generating relation for Bateman F}}: $148. (1)$ | ||
{{:Orthogonal polynomials footer}} | {{:Orthogonal polynomials footer}} | ||
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Revision as of 03:00, 22 June 2016
The Bateman polynomials $F_n$ are defined by the formula $$F_n(z) = {}_3F_2 \left( -n, n+1, \dfrac{z+1}{2}; 1,1;1 \right),$$ where ${}_3F_2$ denotes the generalized hypergeometric function.
Properties
References
- Harry Bateman: Some Properties of a certain Set of Polynomials (1933) $3.$
- 1960: Earl David Rainville: Special Functions ... (previous) ... (next): $148. (1)$
