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Interpolation of entire functions with infinitely many nodes

  • Numerical Methods for Solution of Equations
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Abstract

A method is described for the construction of an interpolating entire function for any countable set of interpolation nodes without condensation points in a finite domain, given the values of the function and its derivative at the interpolation nodes.

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References

  1. A. O. Gel'fond, Calculus of Finite Differences [in Russian], Moscow (1967).

  2. I. I. Ibragimov, Function Interpolation Methods and Some Applications [in Russian], Moscow (1971).

  3. L. P. Lisovik, "Construction of analytical transformations of the Euclidean space with an arbitrary given system of periods," Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 6, 10–13 (1985).

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  4. A. I. Markushevich, Theory of Analytical Functions [in Russian], Vol. 1, Moscow (1967).

  5. I. P. Natanson, Constructive Theory of Functions [in Russian], Moscow—Leningrad (1949).

  6. A. N. Sharkovskii, "Coexistence of cycles of a continuous transformation of the line to itself," Ukr. Mat. Zh.,16, No. 1, 61–71 (1964).

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Additional information

Kiev University. Translated from Vychislitel'naya i Prikladnaya Matematika, No. 75, pp. 26–34, 1991.

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Lisovik, L.P. Interpolation of entire functions with infinitely many nodes. J Math Sci 72, 3066–3072 (1994). https://doi.org/10.1007/BF01259472

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  • DOI: https://doi.org/10.1007/BF01259472

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