Difference between revisions of "Bateman F"

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The Bateman polynomials are [[orthogonal polynomials]] defined by
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The Bateman polynomials $Z_n$ are defined by the formula
 
$$Z_n(x) = {}_2F_2(-n,n+1;1;1;x),$$
 
$$Z_n(x) = {}_2F_2(-n,n+1;1;1;x),$$
 
where ${}_2F_2$ is a [[generalized hypergeometric function]].
 
where ${}_2F_2$ is a [[generalized hypergeometric function]].

Revision as of 02:06, 22 June 2016

The Bateman polynomials $Z_n$ are defined by the formula $$Z_n(x) = {}_2F_2(-n,n+1;1;1;x),$$ where ${}_2F_2$ is a generalized hypergeometric function.

Properties

References

Orthogonal polynomials