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Ukrainian Mathematical Journal

, Volume 71, Issue 5, pp 749–757 | Cite as

Form and Properties of the Canonical Weierstrass Product of an Entire Function with Real Values on ℝ

  • A. M. SamoilenkoEmail author
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We determine the form and properties of the Weierstrass canonical product of an entire function with real values on ℝ. The proof of the theorem on the order of R-integral is specified [A. M. Samoilenko, “Order and canonical product of the Weierstrass R-integral,” Ukr. Mat. Zh.,71, No. 4, 564–570 (2019)].

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References

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    K. Weierstrass, Math. Werke, Bd 2, B (1895).Google Scholar
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    Mathematical Encyclopedia [in Russian], Vol. 2, Sovetskaya Éntsiklopediya, Moscow (1979), pp. 713–714.Google Scholar
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    J. Hadamard, “’Etude sur les propriétés des fonctions entières et en particulier d’une fonction considérée par Riemann,” J. Math. Pures Appl., 9, Ser. 4, 171–215 (1893).Google Scholar
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    A. M. Samoilenko, “Order and canonical product of the Weierstrass R-integral,” Ukr. Mat. Zh., 71, No. 4, 564–570 (2019).MathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of MathematicsUkrainian National Academy of SciencesKyivUkraine

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