New approach to certain real hyper-elliptic integrals

DOI10.1080/10652469.2019.1703703zbMath1453.33015arXiv1905.09666OpenAlexW2997029850WikidataQ126418707 ScholiaQ126418707MaRDI QIDQ5131844

Piotr Krasoń, Jan Milewski

Publication date: 9 November 2020

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.09666

zbMATH Keywords

Riemann sphereprojective linehyper-elliptic integrals

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Elliptic functions and integrals (33E05) Numerical approximation and evaluation of special functions (33F05)

Uses Software

• DLMF

Cites Work

• Symmetry in c, d, n of Jacobian elliptic functions
• Normal elliptic integrals of the first and second kinds
• Table of integrals of squared Jacobian elliptic functions and reductions of related hypergeometric $R$-functions
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