“Anatolii Goldberg”的意思、由来-开放百科全书

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 {{harvtxt|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

References

1. ^{{cite journal|mr=2502930|last1=Zarīchniĭ|first1=M. M.|last2=Skaskīv|first2=O. B.|last3=Sheremeta|first3=M. M.|title=Anatolīĭ Asīrovich Golʹdberg (April 2, 1930–October 11, 2008)|journal=Mat. Stud.|volume=30|year=2008|issue=2|page=214|language=Ukrainian|url=http://www.vntl.com/im/pdf/30_2_214_214.pdf}}
2. ^{{cite book|mr=0164038|first=W. K.|last=Hayman|author-link=Walter Hayman|title=Meromorphic functions|location=Oxford|publisher=Clarendon Press|year=1964}}
3. ^W. Bergweiler and A. Eremenko, [https://arxiv.org/abs/1111.2296 Goldberg's constants]
4. ^{{cite journal|last=Langley|first=J.K.|mr=1447956|title=On the zeros of the second derivative|journal=Proc. Roy. Soc. Edinburgh Sect. A|volume=127|year=1997|issue=2|pages=359–368|doi=10.1017/S0308210500023672}}
5. ^{{cite journal|last=Yamanoi|first=K.|mr=3056292|title=Zeros of higher derivatives of meromorphic functions in the complex plane|journal=Proc. London Math. Soc.|volume=106|year=2013|issue=4|pages=703–780|doi=10.1112/plms/pds051 }}

External links

{{cite journal|title=McTutor history of mathematics archive|url=http://www-history.mcs.st-and.ac.uk/Biographies/Goldberg.html}}

{{cite journal|first1=A.|last1=Eremenko|first2=I.|last2=Ostrovskii|first3=M.|last3=Sodin|year=1998|title=Anatolii Asirovich Gol'dberg|journal=Complex Variables, Theory and Application|volume=37|issue=1–4|pages=1–51|doi=10.1080/17476939808815121|url=http://www.math.purdue.edu/~eremenko/dvi/official.pdf|citeseerx=10.1.1.299.355}}