Bender–Dunne polynomials - Alchetron, the free social encyclopedia

In mathematics, Bender–Dunne polynomials are a two-parameter family of sequences of orthogonal polynomials studied by Bender and Dunne (1988, 1996). They may be defined by the recursion:

P 0 ( x ) = 1 , P 1 ( x ) = x ,

and for n > 1 :

P n ( x ) = x P n − 1 ( x ) + 16 ( n − 1 ) ( n − J − 1 ) ( n + 2 s − 2 ) P n − 2 ( x )

where J and s are arbitrary parameters.

References

Bender–Dunne polynomials Wikipedia

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