
Accession Number : AD0687108
Title : TABLES OF TOROIDAL HARMONICS, I: ORDERS 05, ALL SIGNIFICANT DEGREES.
Descriptive Note : Final scientific rept.,
Corporate Author : AEROSPACE RESEARCH LABS WRIGHTPATTERSON AFB OHIO
Personal Author(s) : Fettis,Henry E. ; Caslin,James C.
Report Date : FEB 1969
Pagination or Media Count : 226
Abstract : The report contains two elevenfigure tables of the Legendre function of the second kind Q(superscript u)(sub v1/2)(s) for integral values of u and v and s > 1. These functions, also known as toroidal harmonics, occur in the solution of potential problems involving a torusshaped boundary, as well as in other practical areas. The parameter u, usually referred to as the 'order' is taken up to r and v (v  1/2 is known as the 'degree') is allowed to vary from 0 to a value for which the absolute value of the function is less than 10 to the minus 12 power, for the largest value of u considered. The argument in first set of tables is taken as s and covers the range s = 1.1(.1)5. In the second set the argument is taken as cosh (n) which is a more natural parameter to use in the solution of the potential problem in toroidal coordinates. (Author)
Descriptors : (*SPECIAL FUNCTIONS(MATHEMATICAL), TABLES(DATA)), HYPERGEOMETRIC FUNCTIONS, POTENTIAL THEORY, INTEGRALS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE