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