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A universal functional equation

Author(s): Carsten Elsner
Journal: Proc. Amer. Math. Soc. 127 (1999), 139-143.
MSC (1991): Primary 34K05, 34A34
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Abstract: It is shown that the S-chains solving Rubel's universal fourth-order differential equation also satisfy a third-order functional equation.

References:

1.: M. Boshernitzan, Universal formulae and universal differential equations, Annals of Mathematics 124 (1986), 273-291. MR 88a:12007
2.: C. Elsner, On the approximation of continuous functions by $C^\infty$ -solutions of third-order algebraic differential equations, Math. Nachr. 157 (1992), 235-241. MR 94i:34032
3.: L. A. Rubel, A universal differential equation, Bulletin of the American Mathematical Society 4 no. 3 (1981), 345-349. MR 82e:34015


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