Shanks' convergence acceleration transform, Padé approximants and partitions (Q1821982)
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scientific article; zbMATH DE number 4000644
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shanks' convergence acceleration transform, Padé approximants and partitions |
scientific article; zbMATH DE number 4000644 |
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Shanks' convergence acceleration transform, Padé approximants and partitions (English)
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1986
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Shanks developed a method for accelerating the convergence of sequences. When applied to classical sequences in number theory, Shanks' transform yields some famous identities of Euler and Gauss. It is shown here that the Padé approximants for the little q-Jacobi polynomials can be used to explain and extend Shanks' observations. The combinatorial significance of these results is also discussed.
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Padé approximants
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little q-Jacobi polynomials
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