Anatolii Asirovich Goldberg (russian: Анатолий Асирович Гольдберг, uk, Анатолій Асірович Гольдберг, he, אנטולי גולדברג, April 2, 1930 in

Kyiv Kyiv, also spelled Kiev, is the capital and most populous city of Ukraine. It is in north-central Ukraine along the Dnieper, Dnieper River. As of 1 January 2021, its population was 2,962,180, making Kyiv the List of European cities by populat ...

– October 11, 2008 in

Netanya Netanya (also known as Natanya, he, נְתַנְיָה) is a city in the Northern Central District of Israel, and is the capital of the surrounding Sharon plain. It is north of Tel Aviv, and south of Haifa, between Poleg stream and Wingate I ...

) was a

Soviet The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a List of former transcontinental countries#Since 1700, transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, ...

and

Israel Israel (; he, יִשְׂרָאֵל, ; ar, إِسْرَائِيل, ), officially the State of Israel ( he, מְדִינַת יִשְׂרָאֵל, label=none, translit=Medīnat Yīsrāʾēl; ), is a country in Western Asia. It is situated ...

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

working in

complex analysis Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathemati ...

. His main area of research was the theory of

entire Entire may refer to: * Entire function, a function that is holomorphic on the whole complex plane * Entire (animal), an indication that an animal is not neutered * Entire (botany) This glossary of botanical terms is a list of definitions of ...

and

meromorphic In the mathematical field of complex analysis, a meromorphic function on an open subset ''D'' of the complex plane is a function that is holomorphic on all of ''D'' ''except'' for a set of isolated points, which are pole (complex analysis), poles ...

functions.

Life and work

Goldberg received his PhD in 1955 from

Lviv University The University of Lviv ( uk, Львівський університет, Lvivskyi universytet; pl, Uniwersytet Lwowski; german: Universität Lemberg, briefly known as the ''Theresianum'' in the early 19th century), presently the Ivan Franko Na ...

under the direction of Lev Volkovyski. He worked as a docent in Uzhgorod University (1955–1963), then in Lviv University (1963–1997), where he became a full professor in 1965, and in

Bar Ilan University Bar-Ilan University (BIU, he, אוניברסיטת בר-אילן, ''Universitat Bar-Ilan'') is a public research university in the Tel Aviv District city of Ramat Gan, Israel. Established in 1955, Bar Ilan is Israel's second-largest academic i ...

(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 In the mathematical field of complex analysis, Nevanlinna theory is part of the theory of meromorphic functions. It was devised in 1925, by Rolf Nevanlinna. Hermann Weyl called it "one of the few great mathematical events of (the twentieth) century ...

for finitely many deficient values, * development of the integral with respect to a semi-additive measure. He authored a book and over 150 research papers. Several things are named after him: Goldberg's examples, Goldberg's constants,W. Bergweiler and A. Eremenko,
Goldberg's constants
/ref> and Goldberg's conjecture.

Selected publications

* , translated as

References

External links

* * *
The International conference on complex analysis and related topics dedicated to the 90-th anniversary of Anatolii Asirovich Goldberg (1930-2008)
{{DEFAULTSORT:Goldberg, Anatolii Ukrainian Jews Ukrainian mathematicians Israeli Jews Israeli mathematicians 1930 births 2008 deaths Complex analysts Mathematical analysts