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On the factorization of the function Bα

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Abstract

In this note a more precise definition is given for one of the representations of the function Bα with the help of a well known theorem about non-negative trigonometric series and by a direct evaluation.

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Literature cited

  1. M. M. Dzhrbashyan, Integral Transforms and Representations in the Complex Domains [in Russian], Moscow (1966).

  2. M. M. Dzhrbashyan, “On a property of the Blaschke functions,” Dokl. Akad. Nauk SSSR,175, No. 5, 981–984 (1967).

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  3. M. M. Dzhrbashyan, and V. S. Zakharyan, “On the cluster properties of meromorphic functions of class 492-01,” Dokl. Akad. Nauk SSSR,173, No. 6, 1247–1250 (1967).

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  4. N. K. Bari, Trigonometric Series [in Russian], Moscow (1962).

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics of the Armenian SSR, USSR

    M. M. Dzhrbashyan & V. S. Zakharyan

Authors
  1. M. M. Dzhrbashyan
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  2. V. S. Zakharyan
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Additional information

Translated from Matematicheskie Zametki, Vol. 4, No. 1, pp. 3–10, July, 1968.

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Dzhrbashyan, M.M., Zakharyan, V.S. On the factorization of the function Bα . Mathematical Notes of the Academy of Sciences of the USSR 4, 487–492 (1968). https://doi.org/10.1007/BF01429808

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  • DOI: https://doi.org/10.1007/BF01429808

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