Ramanujan's inversion formulas for the lemniscate and allied functions

DOI10.1016/0022-247X(91)90323-RzbMath0763.33005MaRDI QIDQ1192549

S. Singh

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

RamanujanWeierstrass theory

Mathematics Subject Classification ID

Elliptic functions and integrals (33E05) Elliptic integrals as hypergeometric functions (33C75)

Related Items (4)

New series for the cosine lemniscate function and the polynomialization of the lemniscate integral ⋮ Ramanujan's hyperelliptic inversion formula ⋮ Analytical and asymptotic representations for two sequence related to Gauss’ lemniscate functions ⋮ Lemniscate-like constants and infinite series

Cites Work

• The lemniscate and Fagnano's contributions to elliptic integrals
• Modular transformations and generalizations of several formulae of Ramanujan
• Chapter 16 of Ramanujan’s second notebook: theta-functions and 𝑞-series
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