A new method of calculating the generalized Q function (Corresp.)

Abstract

A recursion relationship for the modified Bessel function is used to develop recursive formulas for functions which are expressed as a Neumann series expansion. The method is applied to devise an algorithm for calculating the generalized <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Q</tex> function. Comparisons with some alternative schemes are discussed and an error analysis is presented.