Note on the coefficients of Ramanujan's expansion for the logarithm of the factorial (Q1714964)
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scientific article; zbMATH DE number 7011030
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Note on the coefficients of Ramanujan's expansion for the logarithm of the factorial |
scientific article; zbMATH DE number 7011030 |
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Note on the coefficients of Ramanujan's expansion for the logarithm of the factorial (English)
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1 February 2019
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It is known that there exists a complete asymptotic expansion with explicit coefficients and error terms for the logarithm of the factorial. In the present note, a recurrence relation is provided for successively determining the coefficients of the asymptotic expansion. The method is based on combinatorial analysis.
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asymptotic expansion
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factorial
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recursive formula
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triangular number
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