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multinomial theorem
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(Theorem)
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A multinomial is a mathematical expression consisting of two or more terms, e.g.
The multinomial theorem provides the general form of the expansion of the powers of this expression, in the process specifying the multinomial coefficients which are found in that expansion. The expansion is:
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(1) |
where the sum is taken over all multi-indices
 that sum to  .
The expression
 occurring in the expansion is called multinomial coefficient and is denoted by
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"multinomial theorem" is owned by bshanks. [ full author list (5) ]
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Cross-references: multi-indices, sum, powers, expression
There are 8 references to this entry.
This is version 9 of multinomial theorem, born on 2002-12-07, modified 2005-01-02.
Object id is 3683, canonical name is MultinomialTheorem.
Accessed 14816 times total.
Classification:
| AMS MSC: | 05A10 (Combinatorics :: Enumerative combinatorics :: Factorials, binomial coefficients, combinatorial functions) |
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Pending Errata and Addenda
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