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Anger Differential Equation

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The second-order ordinary differential equation

y^('')+(y^')/x+(1-(nu^2)/(x^2))y=(x-nu)/(pix^2)sin(pinu)

whose solutions are Anger functions.

See also

Anger Function, Weber Differential Equations

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References

Abramowitz, M. and Stegun, I. A. (Eds.). "Anger and Weber Functions." §12.3 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 498-499, 1972.Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, p. 989, 2000.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 121, 1997.

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Anger Differential Equation

Cite this as:

Weisstein, Eric W. "Anger Differential Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AngerDifferentialEquation.html

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