Tables of Toroidal Harmonics - Part 1: Orders of 0-5, All Significant Degrees
Author | : Aerospace Research Laboratories (U.S.) |
Publisher | : |
Total Pages | : |
Release | : 1969 |
Genre | : |
ISBN | : |
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Author | : Aerospace Research Laboratories (U.S.) |
Publisher | : |
Total Pages | : |
Release | : 1969 |
Genre | : |
ISBN | : |
Author | : Henry E. Fettis |
Publisher | : |
Total Pages | : 0 |
Release | : 1969 |
Genre | : Toroidal harmonics |
ISBN | : |
Author | : Henry E. Fettis |
Publisher | : |
Total Pages | : 209 |
Release | : 1969 |
Genre | : Functions, Special |
ISBN | : |
The report contains two eleven-figure tables of the Legendre function of the second kind Q(superscript u)(sub v-1/2)(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 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 - 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 | : Henry E. Fettis |
Publisher | : |
Total Pages | : 246 |
Release | : 1969 |
Genre | : Toroidal harmonics |
ISBN | : |
Author | : Henry E. Fettis |
Publisher | : |
Total Pages | : 218 |
Release | : 1969 |
Genre | : Functions of complex variables |
ISBN | : |
The report, which is a continuation of AD-687 108 contains eleven-figure tables of the Legendre function Q(sub n-1/2) superscript m (s) for m = 5, 6, 7, 8, 9, 10 and all values of n for which the functions are of significant magnitude compared with those of zero degree. As before, the tables are in two parts: the first with argument "s" and the second with argument "cosh (eta)."
Author | : Henry E. Fettis |
Publisher | : |
Total Pages | : 198 |
Release | : 1969 |
Genre | : Functions of complex variables |
ISBN | : |
The report, which is a continuation of AD-687 108 contains eleven-figure tables of the Legendre function Q(sub n-1/2) superscript m (s) for m = 5, 6, 7, 8, 9, 10 and all values of n for which the functions are of significant magnitude compared with those of zero degree. As before, the tables are in two parts: the first with argument "s" and the second with argument "cosh (eta)."
Author | : Henry E. Fettis |
Publisher | : |
Total Pages | : 179 |
Release | : 1969 |
Genre | : Toroidal harmonics |
ISBN | : |
Author | : Henry E. Fettis |
Publisher | : |
Total Pages | : 179 |
Release | : 1969 |
Genre | : Functions of complex variables |
ISBN | : |
The report, which is a continuation of AD-687 108 contains eleven-figure tables of the Legendre function Q(sub n-1/2) superscript m (s) for m = 5, 6, 7, 8, 9, 10 and all values of n for which the functions are of significant magnitude compared with those of zero degree. As before, the tables are in two parts: the first with argument "s" and the second with argument "cosh (eta)".
Author | : Henry E. Fettis |
Publisher | : |
Total Pages | : 404 |
Release | : 1970 |
Genre | : Functions of complex variables |
ISBN | : |
The report contains eleven-figure tables of the Legendre function of the first kind (P sub (n-1/2), sup m)(s) for integral values of n and m. It is a continuation of the previous two volumes which gave values of the functions of the second kind, (Q sub (n-1/2), sup m)(s) also for integers n and m. As in the previous tables, the argument s is given directly and also as cosh eta. The tables are so constructed that the degree n-1/2 covers the same range as in the previous reports.