q-Bernoulli Numbers Associated with q-Stirling Numbers
We consider Carlitz q-Bernoulli numbers and q-Stirling numbers of the first and the second kinds. From the properties of q-Stirling numbers, we derive many interesting formulas associated with Carlitz q-Bernoulli numbers. Finally, we will prove βn,q=∑m=0n∑k=mn1/(1-q)n+m-k∑d0+⋯...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-02-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2008/743295 |