Anatolii Goldberg

Anatolii Asirovich Goldberg (Russian: Анатолий Асирович Гольдберг, Ukrainian: Анатолій Асірович Гольдберг, Hebrew: אנטולי גולדברג‎, April 2, 1930 in Kyiv – October 11, 2008 in Netanya) was a Soviet and Israeli mathematician working in complex analysis. His main area of research was the theory of entire and meromorphic functions.[1]

Not to be confused with Anatol Goldberg.
A. A. Goldberg in Leningrad, 1982 (photo by D. Drasin)

Life and work

Goldberg received his PhD in 1955 from Lvov University under the direction of Lev Volkovyski. He worked as a docent in Uzhgorod University (1955–1963), then in Lvov University (1963–1997), where he became a full professor in 1965, and in Bar Ilan University (1997–2008). Goldberg, jointly with I.V. Ostrovskii and B.Ya. Levin, was awarded the State Prize of Ukraine in 1992.

Among his main achievements are:

  • construction of meromorphic functions with infinitely many deficient values,
  • solution of the inverse problem of Nevanlinna theory for finitely many deficient values,
  • development of the integral with respect to a semi-additive measure.

He authored a book Goldberg & Ostrovskii (2008) and over 150 research papers.

Several things are named after him: Goldberg's examples,[2] Goldberg's constants,[3] and Goldberg's conjecture.[4] [5]

Selected publications
  • Goldberg, A. A.; Ostrovskii, I. V. (1970). Distribution of values of meromorphic functions (in Russian). Moscow: Nauka. MR 0280720.CS1 maint: ref=harv (link), translated as Goldberg, A. A.; Ostrovskii, I. V. (2008). Distribution of values of meromorphic functions. Providence, RI: Amer. Math. Soc. ISBN 978-0-8218-4265-2. MR 2435270.CS1 maint: ref=harv (link)
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References
  1. Zarīchniĭ, M. M.; Skaskīv, O. B.; Sheremeta, M. M. (2008). "Anatolīĭ Asīrovich Golʹdberg (April 2, 1930–October 11, 2008)" (PDF). Mat. Stud. (in Ukrainian). 30 (2): 214. MR 2502930.
  2. Hayman, W. K. (1964). Meromorphic functions. Oxford: Clarendon Press. MR 0164038.
  3. W. Bergweiler and A. Eremenko, Goldberg's constants
  4. Langley, J.K. (1997). "On the zeros of the second derivative". Proc. Roy. Soc. Edinburgh Sect. A. 127 (2): 359–368. doi:10.1017/S0308210500023672. MR 1447956.
  5. Yamanoi, K. (2013). "Zeros of higher derivatives of meromorphic functions in the complex plane". Proc. London Math. Soc. 106 (4): 703–780. doi:10.1112/plms/pds051. MR 3056292.
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