Difference between revisions of "Q-factorial"

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The $q$-Factorial is defined for a non-negative integer $k$ by
 
The $q$-Factorial is defined for a non-negative integer $k$ by
 
$$[n]_q! = \displaystyle\prod_{k=1}^n [k]_q=[1]_q [2]_q \ldots [n]_q,$$
 
$$[n]_q! = \displaystyle\prod_{k=1}^n [k]_q=[1]_q [2]_q \ldots [n]_q,$$

Revision as of 22:32, 16 June 2016

The $q$-Factorial is defined for a non-negative integer $k$ by $$[n]_q! = \displaystyle\prod_{k=1}^n [k]_q=[1]_q [2]_q \ldots [n]_q,$$ where $[k]_q$ denotes a $q$-number.

Properties

Q-derivative power rule
Relationship between q-factorial and q-pochhammer

See Also

$q$-number

References

$q$-calculus