The solution of the recurrence relation<i>f</i><sub><i>n</i></sub>(<i>t</i>)=<i>a</i><sub><i>n</i></sub>(<i>t</i>) <i>f</i><sub><i>n</i>−1</sub>(<i>t</i>)−<i>b</i><sub><i>n</i></sub>(<i>t</i>)(∂/∂<i>t</i>) <i>f</i><sub><i>n</i>−1</sub>(<i>t</i>) (Q3634516)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The solution of the recurrence relation<i>f</i><sub><i>n</i></sub>(<i>t</i>)=<i>a</i><sub><i>n</i></sub>(<i>t</i>) <i>f</i><sub><i>n</i>−1</sub>(<i>t</i>)−<i>b</i><sub><i>n</i></sub>(<i>t</i>)(∂/∂<i>t</i>) <i>f</i><sub><i>n</i>−1</sub>(<i>t</i>) |
scientific article |
Statements
The solution of the recurrence relation<i>f</i><sub><i>n</i></sub>(<i>t</i>)=<i>a</i><sub><i>n</i></sub>(<i>t</i>) <i>f</i><sub><i>n</i>−1</sub>(<i>t</i>)−<i>b</i><sub><i>n</i></sub>(<i>t</i>)(∂/∂<i>t</i>) <i>f</i><sub><i>n</i>−1</sub>(<i>t</i>) (English)
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25 June 2009
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recurrence relations
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Stirling numbers
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generating functions
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Catalan numbers
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explicit formula
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