Calculation of the elliptic integrals of the first and second kinds with complex modulus

Numerische Mathematik

Volumn 82, Issue 4, 1999, Pages 677-688

  Morita, T ^a  

^a NIHON UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011978251     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050436     Document Type: Article

References (5)

1. Bulirsch, R. (1965): Handbook series special functions, numerical calculation of elliptic integrals and elliptic functions. Numer. Math. 7, 78-90
2. Carlson, B. C. (1979): Computing Elliptic Integrals by Duplication. Numer. Math. 33, 1-16
3. Morita, T. (1978): Calculation of the Complete Elliptic Integrals with Complex Modulus. Numer. Math. 29, 233-236
4. Morita, T., Horiguchi, T. (1973): Convergence of the arithmetic-geometric mean procedure for the complex variables and the calculation of the complete elliptic integrals with complex modulus. Numer. Math. 20, 425-430
5. Press, W. H., Teukolsky, S. A., Vetterling, W. T., Flannery, B. P. (1992): Numerical Recipes in C, The Art of Scientific Computing, Second Edition, pp. 261-269. Cambridge U. P., Cambridge, New York, Melbourne