Level 10 analogues of Ramanujan's series for \(1/\pi\) (Q2907428)

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scientific article; zbMATH DE number 6079908
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English
Level 10 analogues of Ramanujan's series for \(1/\pi\)
scientific article; zbMATH DE number 6079908

    Statements

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    9 September 2012
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    Ramanujan's series
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    rational series
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    expansions
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    convergence
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    modular forms
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    Level 10 analogues of Ramanujan's series for \(1/\pi\) (English)
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    The author presents three general classes of series for \(1/\pi\). Then three differential equations are derived and series expansions for their solutions are determined. As applications, twenty rational series for \(1/\pi\) are deduced.
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