Ramanujan's inversion formulas for the lemniscate and allied functions

Bruce C. Berndt; S. Bhargava

doi:10.1016/0022-247X(91)90323-R

Ramanujan's inversion formulas for the lemniscate and allied functions

Bruce C. Berndt, S. Bhargava

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In the unorganized portions of his second notebook, Ramanujan states without proofs 10 inversion formulas for the lemniscate integral and two similar integrals. These 10 formulas are proven here.

Original language	English (US)
Pages (from-to)	504-524
Number of pages	21
Journal	Journal of Mathematical Analysis and Applications
Volume	160
Issue number	2
DOIs	https://doi.org/10.1016/0022-247X(91)90323-R
State	Published - Sep 15 1991

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "Ramanujan's inversion formulas for the lemniscate and allied functions",

abstract = "In the unorganized portions of his second notebook, Ramanujan states without proofs 10 inversion formulas for the lemniscate integral and two similar integrals. These 10 formulas are proven here.",

author = "Berndt, {Bruce C.} and S. Bhargava",

note = "Funding Information: supported by NSF Grant DMS 88-20680. by a Fulbright fellowship. Present and University of Mysore, Manasa Gangotri,",

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AU - Bhargava, S.

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PY - 1991/9/15

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Ramanujan's inversion formulas for the lemniscate and allied functions

Abstract

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