Struve Differential Equation

The ordinary differential equation

where  is the gamma function (Abramowitz and Stegun 1972, p. 496; Zwillinger 1997, p. 127). The solution is

where  and  are Bessel functions of the first and second kinds, and  is a Struve function (Abramowitz and Stegun 1972).

REFERENCES:

Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 496, 1972.

Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 127, 1997.