Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Jacobi elliptic functions
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
==References== * {{AS ref|16|569}} * [[Naum Akhiezer|N. I. Akhiezer]], ''Elements of the Theory of Elliptic Functions'' (1970) Moscow, translated into English as ''AMS Translations of Mathematical Monographs Volume 79'' (1990) AMS, Rhode Island {{ISBN|0-8218-4532-2}} * [[Alfred Cardew Dixon|A. C. Dixon]] [https://archive.org/details/117736039 The elementary properties of the elliptic functions, with examples] (Macmillan, 1894) * [[Alfred George Greenhill]] [https://archive.org/details/applicationselli00greerich The applications of elliptic functions] (London, New York, Macmillan, 1892) * Edmund T. Whittaker, George Neville Watson: ''A Course in Modern Analysis''. 4th ed. Cambridge, England: Cambridge University Press, 1990. S. 469–470. * H. Hancock [https://archive.org/details/lecturestheorell00hancrich Lectures on the theory of elliptic functions] (New York, J. Wiley & sons, 1910) *{{Citation | last1=Jacobi | first1=C. G. J. | title=Fundamenta nova theoriae functionum ellipticarum | url=https://archive.org/details/fundamentanovat00jacogoog | publisher=Königsberg | language=la | isbn=978-1-108-05200-9 | id=Reprinted by Cambridge University Press 2012 | year=1829}} *{{dlmf|first=William P. |last=Reinhardt|first2=Peter L. |last2=Walker|id=22|title=Jacobian Elliptic Functions}} * {{in lang|fr}} [[P. Appell]] and E. Lacour [https://archive.org/details/principestheorie00apperich Principes de la théorie des fonctions elliptiques et applications] (Paris, Gauthier Villars, 1897) * {{in lang|fr}} G. H. Halphen [https://archive.org/details/traitedesfonctio01halprich Traité des fonctions elliptiques et de leurs applications (vol. 1)] (Paris, Gauthier-Villars, 1886–1891) * {{in lang|fr}} G. H. Halphen [https://archive.org/details/traitedesfonctio02halprich Traité des fonctions elliptiques et de leurs applications (vol. 2)] (Paris, Gauthier-Villars, 1886–1891) * {{in lang|fr}} G. H. Halphen [https://archive.org/details/traitedesfonctio03halprich Traité des fonctions elliptiques et de leurs applications (vol. 3)] (Paris, Gauthier-Villars, 1886–1891) * {{in lang|fr}} J. Tannery and J. Molk [http://gallica.bnf.fr/notice?N=FRBNF37258233 Eléments de la théorie des fonctions elliptiques. Tome I, Introduction. Calcul différentiel. Ire partie] (Paris : Gauthier-Villars et fils, 1893) * {{in lang|fr}} J. Tannery and J. Molk [http://gallica.bnf.fr/notice?N=FRBNF37258241 Eléments de la théorie des fonctions elliptiques. Tome II, Calcul différentiel. IIe partie] (Paris : Gauthier-Villars et fils, 1893) * {{in lang|fr}} J. Tannery and J. Molk [http://gallica.bnf.fr/notice?N=FRBNF37258245 Eléments de la théorie des fonctions elliptiques. Tome III, Calcul intégral. Ire partie, Théorèmes généraux. Inversion] (Paris : Gauthier-Villars et fils, 1893) * {{in lang|fr}} J. Tannery and J. Molk [http://gallica.bnf.fr/notice?N=FRBNF37258246 Eléments de la théorie des fonctions elliptiques. Tome IV, Calcul intégral. IIe partie, Applications] (Paris : Gauthier-Villars et fils, 1893) * {{in lang|fr}} C. Briot and J. C. Bouquet [http://gallica.bnf.fr/notice?N=FRBNF30162167 Théorie des fonctions elliptiques] ( Paris : Gauthier-Villars, 1875) * Toshio Fukushima: ''Fast Computation of Complete Elliptic Integrals and Jacobian Elliptic Functions''. 2012, [[National Astronomical Observatory of Japan]] (国立天文台) * Lowan, Blanch und Horenstein: ''On the Inversion of the q-Series Associated with Jacobian Elliptic Functions''. Bull. Amer. Math. Soc. 48, 1942 * H. Ferguson, D. E. Nielsen, G. Cook: ''A partition formula for the integer coefficients of the theta function nome''. Mathematics of computation, Volume 29, Nummer 131, Juli 1975 * J. D. Fenton and R. S. Gardiner-Garden: ''Rapidly-convergent methods for evaluating elliptic integrals and theta and elliptic functions''. J. Austral. Math. Soc. (Series B) 24, 1982, S. 57 * Adolf Kneser: ''Neue Untersuchung einer Reihe aus der Theorie der elliptischen Funktionen''. J. reine u. angew. Math. 157, 1927. pages 209 – 218
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)