Wronskians of theta functions and series for \(1/\pi\) (Q1789490)
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| Language | Label | Description | Also known as |
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| English | Wronskians of theta functions and series for \(1/\pi\) |
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Wronskians of theta functions and series for \(1/\pi\) (English)
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10 October 2018
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In this interesting paper, the authors used the Jacobi theta functions to define some functions analogous to Ramanujan's function \(f(n)\) defined in his famous paper ``Modular equations and approximation to \(\pi\)'' [Q. J. Math. 45, 350--372 (1914; JFM 45.1249.01)]. They then used these new functions to study Ramanuan's type series for \(1/{\pi}\). Several amazing Ramanuan's type series for \(1/{\pi}\) are derived.
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Ramanujan-Borweins series
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theta functions
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Dedekind eta function
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modular equations
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Wronskians
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