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词条 Bender–Dunne polynomials
释义

  1. References

In mathematics, Bender–Dunne polynomials are a two-parameter family of sequences of orthogonal polynomials studied by {{harvs|txt|last1=Bender|last2=Dunne|year=1988|year2=1996}}. They may be defined by the recursion:

,

,

and for :

where and are arbitrary parameters.

References

  • {{Citation | last1=Bender | first1=Carl M. | last2=Dunne | first2=Gerald V. | title=Polynomials and operator orderings | doi=10.1063/1.527869 | mr=955168 | year=1988 | journal=Journal of Mathematical Physics | issn=0022-2488 | volume=29 | issue=8 | pages=1727–1731| bibcode=1988JMP....29.1727B }}
  • {{Citation | last1=Bender | first1=Carl M. | last2=Dunne | first2=Gerald V. | title=Quasi-exactly solvable systems and orthogonal polynomials | doi=10.1063/1.531373 | mr=1370155 | year=1996 | journal=Journal of Mathematical Physics | issn=0022-2488 | volume=37 | issue=1 | pages=6–11| arxiv=hep-th/9511138 | bibcode=1996JMP....37....6B }}
{{DEFAULTSORT:Bender-Dunne polynomials}}

1 : Orthogonal polynomials

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