Cyclic identities for Jacobi elliptic and related functions

Journal of Mathematical Physics

Volumn 44, Issue 4, 2003, Pages 1822-1841

  Khare, Avinash ^a   Lakshminarayan, Arul ^b   Sukhatme, Uday ^c  

^a INSTITUTE OF PHYSICS   (India)

^b PHYSICAL RESEARCH LABORATORY   (India)

^c UNIVERSITY AT BUFFALO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037398663     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1560856     Document Type: Article

References (12)

1. A. Khare and U. Sukhatme, J. Math. Phys. 43, 3798 (2002).
2. For the properties of Jacobi elliptic functions, see, for example, M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964); I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1980); P. F. Byrd and M. D. Friedman, Handbook of Elliptic Integrals for Engineers and Physicists (Springer Verlag, New York, 1954).
3. For the properties of Jacobi elliptic functions, see, for example, M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964); I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1980); P. F. Byrd and M. D. Friedman, Handbook of Elliptic Integrals for Engineers and Physicists (Springer Verlag, New York, 1954).
4. For the properties of Jacobi elliptic functions, see, for example, M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964); I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1980); P. F. Byrd and M. D. Friedman, Handbook of Elliptic Integrals for Engineers and Physicists (Springer Verlag, New York, 1954).
5. A. Khare and U. Sukhatme, Phys. Rev. Lett. 88, 244101 (2002).
6. F. Cooper, A. Khare, and U. Sukhatme, J. Phys. A 35, 10085 (2002).
7. See, for example, E. H. Neville, Elliptic Functions: A Primer (Pergamon, New York, 1971).
8. A. Terras, Harmonic Analysis on Symmetric Spaces and Applications I (Springer Verlag, New York, 1985).
9. D. F. Lawden, Elliptic Functions and Applications (Springer, New York, 1989).
10. H. Hancock, Theory of Elliptic Functions (Dover, New York, 1958).
11. E. T. Copson, An Introduction to the Theory of Functions of a Complex Variable (Clarendon, Oxford, 1972).
12. A. Khare, A. Lakshminarayan, and U. Sukhatme, "Cyclic Identities Involving Jacobi Elliptic Functions, II," math-ph/0207019 (2002).