Approximations to Kelvin Functions

Analytic approximations to Kelvin functions with applications to electromagnetics

We present analytical approximations for the real Kelvin function berx and the imaginary Kelvin function beix, using the two–point quasifractional approximation procedure. We have applied these approximations to the calculation of the current distribution within a cylindrical conductor. Our approximations are simple and accurate. The infinite number of roots is also obtained with the approximat...

Polynomial Approximations to Bessel Functions

A polynomial approximation to Bessel functions that arises from an electromagnetic scattering problem is examined. The approximation is extended to Bessel functions of any integer order, and the relationship to the Taylor series is derived. Numerical calculations show that the polynomial approximation and the Taylor series truncated to the same order have similar accuracies.

Triangular approximations of fuzzy number with value and ambiguity functions

Note on the Kelvin Phase Functions

Both theoretical consistency and practical convenience demand that the values of the Kelvin phase functions 8nix) and (¡>nix) be defined uniquely and be well-ordered in n. This is achieved by taking, for n > 0, 0„(O) = ~niO) = 3iirr/4. The necessary amendments to extant tables are indicated.

triangular approximations of fuzzy number with value and ambiguity functions