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On Trigonometric Polynomials Satisfying Differential Equations
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It is shown that the classical set {cos nx, sin nx} is the only real trigonometric polynomial set that satisfies a linear differential equation of the form Σ̅ ak (x)y(k)n(x) = λn yn (x) where λn is a parameter and the i coefficients {ak(x)} are independent of n.
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