At the end of 2023, an article entitled "Outstanding Achievements of Mathematician Grigor Barseghyan" was published on the website of the Armenian Academy of Sciences.

A little later, the distinguished German scientist Heinrich Begehr, former president of the Berlin Mathematical Society and president of the international mathematical society ISAAC, wrote:

" Professor Barsegian is an eminent Armenian scientist of our time. He will be seen in the same line with S.N. Megrelian, the founder of modern approximation theory in complex analysis.”

 

We, a group of friends, scientists from various disciplines, would like to recognize Grigor Barsegian's contribution to public life: he is the author of nearly 200 articles on the proper management of science and other aspects of national governance.

We congratulate our dear friend on his 75th birthday and wish him continued success in both serving science and building a just Armenia.

Hovik Matevossian(mathematician, France, Russia),Agavart Khachatryan (mathematician, NAS), Khachatur Khachatryan (mathematician, NAS), Samvel Gevorkyan (physicist, ESU), Truni Karo (physicist, ESU), Vladimir Gasparyan (physicist, Spain, USA), Alexander Khachunts (biologist, NAS), Tigran Harutyunyan (philosopher, Noyan Tapan), Razdan Madoyan (philologist, NAS), Viktor Wuchrer (military chemist),

 

 

Below are excerpts from an article published in the Academy.

The outstanding achievements of mathematician Grigor Barsegian

... The last result on arbitrary curves appeared sometime in the 1870s (Crofton's formula); the fundamental results on arbitrary analytic functions were obtained in the classic works of the great 19th-century mathematician O. Cauchy, and the last was obtained by L. Ahlfors (the first recipient of the Fields Medal) in 1935. These results were obtained primarily in "old" Europe; similar results were not available in the United States, Russia, or China.

Therefore, it is very interesting and significant that in recent decades, Grigor Barsegian, chief researcher at the Institute of Mathematics, has obtained more than 20 mathematical results of similar generality in Armenia.

G. Barsegian’s main area of ​​expertise is the theory of analytic functions, in which he discovered 15 new regularities on arbitrary analytic functions in an arbitrary domain, which complement the results of similar generality obtained by Cauchy and Ahlfors. ...

The international mathematical community highly valued G. Barsegian's work.Three areas of his work were cited in the scientific literature as new theories. Here's what Heinrich Begeher, former president of the International Society for Analysis and Applications (ISAAC), wrote about Barseghian's book (Barsegian, G., Gamma-lines: on the Geometry of Real and Complex Functions, Taylor and Francis, London, New York, 2002) in the English-language abstract journal Math.Sci.Net (MathSciNet, review MR2002433 (2005f:30001)). We quote in the original language:

 

"... the theory of Gamma-lines presented here is a generalization of the classical value distribution theory...

... An essential element of the theory of Gamma-lines is the tangent variation principle....

... This theory of Gamma-lines is a beautiful application of geometrical considerations in complex analysis, generalizing and supplementing the classical value distribution theory for meromorphic functions. It will lead to further insights into complex analysis. But it seems to be applicable to much wider function classes, even to real-valued functions, and thus, it will also be of interest to applied mathematicians.”

It is also worth noting the assessment of the European Science Council when awarding G. Barsegian the Marie Curie Prize in 2013. The Council recognized his work as a classic theory:

"The application of a (rather classical, for today) theory developed by the applicant to new areas will probably lead to new results."

 

Armenak Babayan (Yerevan, Armenian National University of Applied Sciences)

Doctor of Physics and Mathematics, Professor

Heinrich Begeher (Berlin, Free University)

Doctor, Professor, Former President of the Berlin Mathematical Society,

(Former President of the ISAAC International Society)

Levon Beklaryan (Moscow, Central Institute of Economics and Mathematics, Russian Academy of Sciences)

Doctor of Physics and Mathematics, Professor, Academician of the Russian Academy of Natural Sciences

Le Dung Trang (Paris, Trieste)

Doctor, Professor, Former Director of the Mathematics Department of the UNESCO International Scientific Center in Italy (ICTP, Trieste)

Yuri Movsesyan (Yerevan, YSU)

Doctor of Physics and Mathematics, Professor, President of the Armenian Mathematical Society

David Natroshvili, (Tbilisi, VTU)

Doctor of Physics and Mathematics, Professor Doctor, Professor, President of the Georgian Mathematical Society

Armen Sergeyev (Moscow, Steklov Institute of Mathematics of the Russian Academy of Sciences)

Doctor of Physical and Mathematical Sciences, Professor, Foreign Member of the RA NAS

 

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