Difference between revisions of "Bateman F"
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The Bateman polynomials $F_n$ are defined by the formula | The Bateman polynomials $F_n$ are defined by the formula | ||
$$F_n(z) = {}_3F_2 \left( -n, n+1, \dfrac{z+1}{2}; 1,1;1 \right),$$ | $$F_n(z) = {}_3F_2 \left( -n, n+1, \dfrac{z+1}{2}; 1,1;1 \right),$$ | ||
− | where ${}_3F_2$ | + | where ${}_3F_2$ denotes the [[generalized hypergeometric function]]. |
=Properties= | =Properties= |
Revision as of 02:21, 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.