Exact, closed-form field expressions for traveling-wave current filaments in homogeneous space

A recursive algorithm for an efficient and accurate computation of incomplete Bessel functions

“…These functions appear when describing a plethora of phenomena in hydrology, statistics, and quantum mechanics [1][2][3][4][5][6][7][8][9]. Incomplete Bessel functions of zero order are also involved in a numerous applications to electromagnetic waves [10][11][12][13][14]. By introducing a recursive algorithm for the G transformation for tail integrals and applying it to incomplete Bessel functions, the article [15] has received some attention recently [16][17][18][19][20][21].…”

Incomplete Bessel Functions. I

“…Incomplete Bessel functions of zero order have been found useful in a number of applications to electromagnetic waves (see, for example, [1,3,5,8,9]).…”