Lemniscate elliptic functions: Difference between revisions

Revision as of 22:02, 19 June 2025

Revision as of 23:09, 19 June 2025

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* {{cite book |last1=Reinhardt |first1=William P. |last2=Walker |first2=Peter L. |year=2010a |display-editors=1 |editor1-last=Olver |editor1-first=Frank |editor2-last=Lozier |editor2-first=Daniel |editor3-last=Boisvert |editor3-first=Ronald |editor4-last=Clark |editor4-first=Charles |title=NIST Handbook of Mathematical Functions |publisher=Cambridge |chapter=22. Jacobian Elliptic Functions |chapter-url=https://dlmf.nist.gov/22 |title-link=Digital Library of Mathematical Functions }}

* {{cite book |last1=Reinhardt |first1=William P. |last2=Walker |first2=Peter L. |year=2010b |display-editors=1 |editor1-last=Olver |editor1-first=Frank |editor2-last=Lozier |editor2-first=Daniel |editor3-last=Boisvert |editor3-first=Ronald |editor4-last=Clark |editor4-first=Charles |title=NIST Handbook of Mathematical Functions |publisher=Cambridge |chapter=23. Weierstrass Elliptic and Modular Functions |chapter-url=https://dlmf.nist.gov/23 |title-link=Digital Library of Mathematical Functions }}

* {{citecitation arXiv|mode=cs1 |last1=Robinson |first1=Paul L. |title=The Lemniscatic Functions |date=2019a |eprintarxiv=1902.08614 |classtype=mathPreprint |url=https://arxiv.CVorg/abs/1903.07147 }}

* {{citecitation arXiv|mode=cs1 |last1=Robinson |first1=Paul L. |title= The Elliptic Functions in a First-Order System |date=2019b |eprintarxiv=1903.07147 |classtype=mathPreprint |url=https://arxiv.CVorg/abs/1903.07147}}

* {{cite journal |last1=Rosen |first1=Michael |authorlink1=Michael Rosen (mathematician) |title=Abel's Theorem on the Lemniscate |journal=The American Mathematical Monthly |date=1981 |volume=88 |issue=6 |pages=387–395 |doi=10.1080/00029890.1981.11995279 |jstor=2321821 }}

* {{cite book |last1=Roy |first1=Ranjan |title=Elliptic and Modular Functions from Gauss to Dedekind to Hecke |publisher=Cambridge University Press |page=28 |year=2017 |isbn=978-1-107-15938-9}}