Accession Number : AD0690115

Title :   A 20-D TABLE OF JACOBI'S NOME AND ITS INVERSE,

Corporate Author : AEROSPACE RESEARCH LABS WRIGHT-PATTERSON AFB OHIO

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

Report Date : MAR 1969

Pagination or Media Count : 38

Abstract : Jacobi's Nome q is given to twenty decimals as a function of the modulus-squared, k squared, the modular angle arc sin k, and the complementary modulus k' for k squared : 0(.001) 999; arc sin k : 0(.10) 89 degrees (.01) 89.99 degrees (.0002) 90 degrees; k' : 0001(.0001).02. The latter table also gives values of an approximation valid in this range to the order of (k') squared, as well as the ratio of the true and approximate values and second central differences of the latter ratio. The fourth table gives k and k' as functions of q for q = 0(.001).5. (Author)

Descriptors :   (*MEROMORPHIC FUNCTIONS, TABLES(DATA)), APPROXIMATION(MATHEMATICS), CONFORMAL MAPPING, TRANSCENDENTAL FUNCTIONS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE