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On Appell polynomials

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Abstract

Necessary and sufficient conditions are found for which a sequence of Appell polynomials forms a quasipower basis in ∀ A(¦z¦<R),0<R<+∞.

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Literature cited

  1. S. N. Bernshtein, Collected Papers, Volume 2 [in Russian], Moscow (1954).

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  3. V. B. Ozhegov, “On generalized Appell polynomials,” in: Investigations in Modern Problems of the Constructive Theory of Functions [in Russian], 595–601, Baku (1965).

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    Yu. A. Kaz'min

Authors
  1. Yu. A. Kaz'min
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Translated from Matematicheskie Zametki, Vol. 6, No. 2, pp. 161–172, August, 1969.

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Kaz'min, Y.A. On Appell polynomials. Mathematical Notes of the Academy of Sciences of the USSR 6, 556–562 (1969). https://doi.org/10.1007/BF01093697

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  • DOI: https://doi.org/10.1007/BF01093697

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