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On incomplete elliptic integrals related to Ramanujan’s theta functions

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Abstract

On Pages 51–53 of his lost notebook, Ramanujan recorded some incomplete elliptic integrals of first kind. In this article, we deduce three new incomplete elliptic integral of that kind.

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Acknowledgements

The authors would like to thank referees for their useful and valuable comments.

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Authors and Affiliations

  1. Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysuru, 570 006, India

    K. R. Vasuki

  2. Department of Mathematics, Yuvaraja’s College, University of Mysore, Mysuru, 570 005, India

    G. Vinay

Authors
  1. K. R. Vasuki
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  2. G. Vinay
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Correspondence to G. Vinay.

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Communicated by Samy Ponnusamy.

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Vasuki, K.R., Vinay, G. On incomplete elliptic integrals related to Ramanujan’s theta functions. J Anal 30, 1485–1495 (2022). https://doi.org/10.1007/s41478-022-00414-0

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  • DOI: https://doi.org/10.1007/s41478-022-00414-0

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