Difference between revisions of "Bateman F"
From specialfunctionswiki
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=Properties= | =Properties= | ||
[[Generating relation for Bateman F]]<br /> | [[Generating relation for Bateman F]]<br /> | ||
| + | [[Three-term recurrence for Bateman F]]<br /> | ||
=References= | =References= | ||
Revision as of 03:07, 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
Generating relation for Bateman F
Three-term recurrence for Bateman F
References
- Harry Bateman: Some Properties of a certain Set of Polynomials (1933)... (previous)... (next) $3.$
- 1960: Earl David Rainville: Special Functions ... (previous) ... (next): $148. (1)$
