“q-Binomial Coefficient”的概念、定义、习题解题方法及翻译-数学辞典

单词

q-Binomial Coefficient

释义

q-Binomial Coefficient

A q-Analog for the Binomial Coefficient, also called the Gaussian Coefficient. Itis given by

(1)

where

(2)

For example, the first few

-binomial coefficients are

From the definition, it follows that

(7)

In the Limit

, the

-binomial coefficient collapses to the usual Binomial Coefficient.

See also Cauchy Binomial Theorem, Gaussian Polynomial

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