Jacobi elliptic functions (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Jacobi elliptic functions" in English language version.

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7ams.org

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mathscinet.ams.org

Reinhardt, W. P.; Walker, P. L. (2010), "Jacobian Elliptic Functions", in Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (eds.), NIST Handbook of Mathematical Functions, Cambridge University Press, ISBN 978-0-521-19225-5, MR 2723248.
Carlson, B. C. (2010), "Elliptic Integrals", in Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (eds.), NIST Handbook of Mathematical Functions, Cambridge University Press, ISBN 978-0-521-19225-5, MR 2723248.
Schett, Alois (1976). "Properties of the Taylor series expansion coefficients of the Jacobian Elliptic Functions". Math. Comp. 30 (133): 143–147. doi:10.1090/S0025-5718-1976-0391477-3. MR 0391477. S2CID 120666361.
Reinhardt, W. P.; Walker, P. L. (2010), "Jacobian Elliptic Functions", in Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (eds.), NIST Handbook of Mathematical Functions, Cambridge University Press, ISBN 978-0-521-19225-5, MR 2723248.
Reinhardt, W. P.; Walker, P. L. (2010), "Jacobian Elliptic Functions", in Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (eds.), NIST Handbook of Mathematical Functions, Cambridge University Press, ISBN 978-0-521-19225-5, MR 2723248.
Reinhardt, W. P.; Walker, P. L. (2010), "§22.15 Inverse Functions", in Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (eds.), NIST Handbook of Mathematical Functions, Cambridge University Press, ISBN 978-0-521-19225-5, MR 2723248.

ams.org

Carlson, B. C. (2008). "Power series for inverse Jacobian elliptic functions" (PDF). Mathematics of Computation. 77 (263): 1615–1621. Bibcode:2008MaCom..77.1615C. doi:10.1090/s0025-5718-07-02049-2. Retrieved 17 July 2013.

archive.org

Neville, Eric Harold (1944). Jacobian Elliptic Functions. Oxford: Oxford University Press.
Whittaker, E.T.; Watson, G.N. (1940). A Course in Modern Analysis. New York, USA: The MacMillan Co. ISBN 978-0-521-58807-2.

doi.org

Walker, Peter (2003). "The Analyticity of Jacobian Functions with Respect to the Parameter k". Proceedings of the Royal Society. 459 (2038): 2569–2574. Bibcode:2003RSPSA.459.2569W. doi:10.1098/rspa.2003.1157. JSTOR 3560143. S2CID 121368966.
Sala, Kenneth L. (November 1989). "Transformations of the Jacobian Amplitude Function and Its Calculation via the Arithmetic-Geometric Mean". SIAM Journal on Mathematical Analysis. 20 (6): 1514–1528. doi:10.1137/0520100.
Schett, Alois (1976). "Properties of the Taylor series expansion coefficients of the Jacobian Elliptic Functions". Math. Comp. 30 (133): 143–147. doi:10.1090/S0025-5718-1976-0391477-3. MR 0391477. S2CID 120666361.
Salzer, Herbert E. (July 1962). "Quick calculation of Jacobian elliptic functions". Communications of the ACM. 5 (7): 399. doi:10.1145/368273.368573. S2CID 44953400.
Smith, John I. (May 5, 1971). "The Even- and Odd-Mode Capacitance Parameters for Coupled Lines in Suspended Substrate". IEEE Transactions on Microwave Theory and Techniques. MTT-19 (5): 430. Bibcode:1971ITMTT..19..424S. doi:10.1109/TMTT.1971.1127543 – via IEEE Xplore.
Carlson, B. C. (2008). "Power series for inverse Jacobian elliptic functions" (PDF). Mathematics of Computation. 77 (263): 1615–1621. Bibcode:2008MaCom..77.1615C. doi:10.1090/s0025-5718-07-02049-2. Retrieved 17 July 2013.

github.com

"cplot, Python package for plotting complex-valued functions". GitHub.

harvard.edu

ui.adsabs.harvard.edu

Walker, Peter (2003). "The Analyticity of Jacobian Functions with Respect to the Parameter k". Proceedings of the Royal Society. 459 (2038): 2569–2574. Bibcode:2003RSPSA.459.2569W. doi:10.1098/rspa.2003.1157. JSTOR 3560143. S2CID 121368966.
Smith, John I. (May 5, 1971). "The Even- and Odd-Mode Capacitance Parameters for Coupled Lines in Suspended Substrate". IEEE Transactions on Microwave Theory and Techniques. MTT-19 (5): 430. Bibcode:1971ITMTT..19..424S. doi:10.1109/TMTT.1971.1127543 – via IEEE Xplore.
Carlson, B. C. (2008). "Power series for inverse Jacobian elliptic functions" (PDF). Mathematics of Computation. 77 (263): 1615–1621. Bibcode:2008MaCom..77.1615C. doi:10.1090/s0025-5718-07-02049-2. Retrieved 17 July 2013.

ieee.org

ieeexplore.ieee.org

Smith, John I. (May 5, 1971). "The Even- and Odd-Mode Capacitance Parameters for Coupled Lines in Suspended Substrate". IEEE Transactions on Microwave Theory and Techniques. MTT-19 (5): 430. Bibcode:1971ITMTT..19..424S. doi:10.1109/TMTT.1971.1127543 – via IEEE Xplore.

jstor.org

Walker, Peter (2003). "The Analyticity of Jacobian Functions with Respect to the Parameter k". Proceedings of the Royal Society. 459 (2038): 2569–2574. Bibcode:2003RSPSA.459.2569W. doi:10.1098/rspa.2003.1157. JSTOR 3560143. S2CID 121368966.

nist.gov

dlmf.nist.gov

Olver, F. W. J.; et al., eds. (2017-12-22). "NIST Digital Library of Mathematical Functions (Release 1.0.17)". National Institute of Standards and Technology. Retrieved 2018-02-26.
Reinhardt, W. P.; Walker, P. L. (2010), "Jacobian Elliptic Functions", in Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (eds.), NIST Handbook of Mathematical Functions, Cambridge University Press, ISBN 978-0-521-19225-5, MR 2723248.
Carlson, B. C. (2010), "Elliptic Integrals", in Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (eds.), NIST Handbook of Mathematical Functions, Cambridge University Press, ISBN 978-0-521-19225-5, MR 2723248.
Reinhardt, W. P.; Walker, P. L. (2010), "Jacobian Elliptic Functions", in Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (eds.), NIST Handbook of Mathematical Functions, Cambridge University Press, ISBN 978-0-521-19225-5, MR 2723248.
Reinhardt, W. P.; Walker, P. L. (2010), "Jacobian Elliptic Functions", in Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (eds.), NIST Handbook of Mathematical Functions, Cambridge University Press, ISBN 978-0-521-19225-5, MR 2723248.
Reinhardt, W. P.; Walker, P. L. (2010), "§22.15 Inverse Functions", in Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (eds.), NIST Handbook of Mathematical Functions, Cambridge University Press, ISBN 978-0-521-19225-5, MR 2723248.

paramanands.blogspot.co.uk

"Elliptic Functions: Complex Variables".

researchgate.net

Cox, David Archibald (January 1984). "The Arithmetic-Geometric Mean of Gauss". L'Enseignement Mathématique. 30 (2): 290.
N.Bagis.(2020)."Evaluations of series related to Jacobi elliptic functions". preprint https://www.researchgate.net/publication/331370071_Evaluations_of_Series_Related_to_Jacobi_Elliptic_Functions

semanticscholar.org

api.semanticscholar.org

Walker, Peter (2003). "The Analyticity of Jacobian Functions with Respect to the Parameter k". Proceedings of the Royal Society. 459 (2038): 2569–2574. Bibcode:2003RSPSA.459.2569W. doi:10.1098/rspa.2003.1157. JSTOR 3560143. S2CID 121368966.
Schett, Alois (1976). "Properties of the Taylor series expansion coefficients of the Jacobian Elliptic Functions". Math. Comp. 30 (133): 143–147. doi:10.1090/S0025-5718-1976-0391477-3. MR 0391477. S2CID 120666361.
Salzer, Herbert E. (July 1962). "Quick calculation of Jacobian elliptic functions". Communications of the ACM. 5 (7): 399. doi:10.1145/368273.368573. S2CID 44953400.

siam.org

epubs.siam.org

Sala, Kenneth L. (November 1989). "Transformations of the Jacobian Amplitude Function and Its Calculation via the Arithmetic-Geometric Mean". SIAM Journal on Mathematical Analysis. 20 (6): 1514–1528. doi:10.1137/0520100.

web.archive.org

Ehrhardt, Wolfgang. "The AMath and DAMath Special Functions: Reference Manual and Implementation Notes" (PDF). p. 42. Archived from the original (PDF) on 31 July 2016. Retrieved 17 July 2013.

wolfgang-ehrhardt.de

Ehrhardt, Wolfgang. "The AMath and DAMath Special Functions: Reference Manual and Implementation Notes" (PDF). p. 42. Archived from the original (PDF) on 31 July 2016. Retrieved 17 July 2013.

wolfram.com

functions.wolfram.com

"Introduction to the Jacobi elliptic functions". The Wolfram Functions Site. Wolfram Research, Inc. 2018. Retrieved January 7, 2018.