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
References
- 2012: Thomas Ernst: A Comprehensive Treatment of q-Calculus ... (previous) ... (next): (6.3)
