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A new generalization of binomial coefficients

✍ Scribed by Michel Lassalle

Book ID: 120762572
Publisher: Springer US
Year: 2013
Tongue: English
Weight: 454 KB
Volume: 34
Category: Article
ISSN: 1382-4090
DOI: 10.1007/s11139-013-9471-5

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Let ! be a complex variable. We associate a polynomial in !, denoted ( M N ) ! , to any two molecular species M=M(X) and N=N(X) by means of a binomial-type expansion of the form In the special case M(X)=X m , the species of linear orders of length m, the above formula reduces to the classical binom