TABLES OF TOROIDAL HARMONICS, I: ORDERS 0-5, ALL SIGNIFICANT DEGREES.
Final scientific rept.,
AEROSPACE RESEARCH LABS WRIGHT-PATTERSON AFB OHIO
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The report contains two eleven-figure tables of the Legendre function of the second kind Qsuperscript usub v-12s 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 torus-shaped 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 - 12 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 1.1.15. 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
- Theoretical Mathematics