The Journal of the Indian Mathematical Society

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Some Series Inversions Akin to Ramanujan’s Inversion Formulas for the Lemniscate Function


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1 Department of Mathematics, University of Mysore, Mysore-570006, India
     

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On pages 283, 285 and 286 of his second notebook [7], Ramanujan has given ten inversion formulas for series. For instance, on page 283, he makes the following statement.
If, for 0≤v≤1 and 0≤θ≤Π/2.
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  • Some Series Inversions Akin to Ramanujan’s Inversion Formulas for the Lemniscate Function

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Authors

S. Bhargava
Department of Mathematics, University of Mysore, Mysore-570006, India

Abstract


On pages 283, 285 and 286 of his second notebook [7], Ramanujan has given ten inversion formulas for series. For instance, on page 283, he makes the following statement.
If, for 0≤v≤1 and 0≤θ≤Π/2.