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
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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.
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Cite this as:
Weisstein, Eric W. "Struve Differential Equation." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/StruveDifferentialEquation.html