Accession Number : AD0650477

Title :   ELLIPTIC FUNCTIONS FOR COMPLEX ARGUMENTS,

Corporate Author : AEROSPACE RESEARCH LABS OFFICE OF AEROSPACE RESEARCH WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Fettis,Henry E. ; Caslin,James C.

Report Date : JAN 1967

Pagination or Media Count : 412

Abstract : The Jacobian elliptic functions sn(w) cn(w) dn(w) are tabulated to five decimals in the complex w = u + iv plane as functions of the nome q = .005(.005).4 for u/K = 0(.1)1. and v/K' = 0(.1)1. where q = e to the minus (pi K'/K) power and K and K' are complete elliptic integrals with moduli k and k' = square root of (l-sq. k), respectively.

Descriptors :   (*COMPLEX VARIABLES, *CONFORMAL MAPPING), TRANSFORMATIONS(MATHEMATICS), TABLES(DATA), FUNCTIONS(MATHEMATICS), APPROXIMATION(MATHEMATICS), SEQUENCES(MATHEMATICS), DIGITAL COMPUTERS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE