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).
See also
Bessel Function of the First Kind,
Bessel Function
of the Second Kind,
Struve Function
Explore with Wolfram|Alpha
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.Referenced on Wolfram|Alpha
Struve Differential Equation
Cite this as:
Weisstein, Eric W. "Struve Differential Equation."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StruveDifferentialEquation.html
Subject classifications
