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A differential equation for Hermite-Padé polynomials. (English. Russian original) Zbl 1275.41019
Russ. Math. Surv. 68, No. 1, 183-188 (2013); translation from Usp. Mat. Nauk 68, No. 1, 197-198 (2013).
Laguerre obtained a second-order equation for Padé polynomials. In this paper, the authors obtain a third-order differential equation for the Hermite-Padé polynomials for the three functions \(1\), \(f\), \(f^2\). Other third-order differential equations for Hermite-Padé polynomials are known; however, the equation obtained can not be reduced to the known ones.

MSC:
41A21 Padé approximation
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