Neumann Differential Equation
The second-order ordinary differential equation
| x^2y^('')+3xy^'+(x^2+1-n^2)y=xcos^2(1/2npi)+nsin^2(1/2npi) |
satisfied by the Neumann polynomials O_n(x).
See also
Neumann PolynomialExplore with Wolfram|Alpha
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References
Gradshteyn, I. S. and Ryzhik, I. M. "Neumann's and Schläfli Polynomials: O_n(z) and S_n(z)." §8.59 in Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, pp. 989-991, 2000.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 125, 1997.Referenced on Wolfram|Alpha
Neumann Differential EquationCite this as:
Weisstein, Eric W. "Neumann Differential Equation." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/NeumannDifferentialEquation.html