Accession Number : AD0709681

Title :   A TABLE OF THE COMPLETE ELLIPTIC INTEGRAL OF THE FIRST KIND FOR COMPLEX VALUES OF THE MODULUS: III. AUXILIARY TABLES.

Descriptive Note : Final rept.,

Corporate Author : AEROSPACE RESEARCH LABS WRIGHT-PATTERSON AFB OHIO

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

Report Date : MAY 1970

Pagination or Media Count : 170

Abstract : The report contains tables of the following: F(R,theta) = K(R,theta) - 1 + (2/pi) K' (R,theta) (ln (4/Rho) - 1 + i phi)), F'(R,theta) = K'(R,theta) - (1 + (2/pi) K(R,theta) (ln (4/R) + 1 - i theta)) together with K, K' and their second central differences. In the above , K(R) is the complete elliptic integral of the first kind with modulus R = Re sup(i theta) and K'(k' identical with the square root of (1-k squared) - rho e sup (-i phi)). These functions have the property that they are interpolatable in the regions tabulated, namely R between .7 and 1, theta between 0 and 10 degrees and R between 0 and .35, theta between 0 and 90 degrees. (Author)

Descriptors :   (*MEROMORPHIC FUNCTIONS, TABLES(DATA)), SPECIAL FUNCTIONS(MATHEMATICAL), COMPLEX VARIABLES, INTEGRALS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE