Symmetry in c, d, n of Jacobian elliptic functions

Journal of Mathematical Analysis and Applications

Volumn 299, Issue 1, 2004, Pages 242-253

  Carlson, B C ^a  

^a IOWA STATE UNIVERSITY   (United States)

Author keywords

Jacobian elliptic functions; Symmetric elliptic integral

Indexed keywords

EID: 4644350123     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.06.049     Document Type: Article

References (8)

1. M. Abramowitz I.A. Stegun Handbook of Mathematical Functions 1964 US Government Printing Office Washington, DC Reprinted by Dover, New York, 1965
2. P.F. Byrd M.D. Friedman Handbook of Elliptic Integrals for Engineers and Scientists second ed. 1971 Springer-Verlag New York
3. B.C. Carlson Special Functions of Applied Mathematics 1977 Academic Press New York
4. P. Du Val The third quadratic transformation on elliptic functions Bull. London Math. Soc. 2 1970 287-289 See also MR0280746 (43 #6465)
5. A. Erdélyi W. Magnus F. Oberhettinger F.G. Tricomi Higher Transcendental Functions, vol. 2 1953 McGraw-Hill New York
6. E.H. Neville Jacobian Elliptic Functions second ed. 1951 Oxford Univ. Press London
7. E.H. Neville Elliptic Functions: A Primer 1971 Pergamon Oxford Prepared for publication by W.J. Langford
8. D.J. Zill B.C. Carlson Symmetric elliptic integrals of the third kind Math. Comp. 24 1970 199-214