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单词 Bell Polynomial
释义

Bell Polynomial

Two different Generating Functions for the Bell polynomials for are given by


or


where is a Binomial Coefficient.


The Bell polynomials are defined such that , where is a Bell Number. The first few Bellpolynomials are

 
 
 
 
 
 
 

See also Bell Number


References

Bell, E. T. ``Exponential Polynomials.'' Ann. Math. 35, 258-277, 1934.


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更新时间:2024/11/15 1:46:47