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About the department of “Mathematical analysis”

The Department of Mathematical analysis was founded as the department of "Theory of Functions" in 1992 by academician A.S. Sadullaev. The chair was headed in 1992-1996 by A.S. Sadullaev, in 1996-1998 by Associate Professor S. A. Imomkulov, in 1998-1999 byрrofessor R. Z. Abdullaev, in 2000-2007 by associate professor R.M. Madrahimov, in 2007 -2009, рrofessor A.S. Imomkulov, in 2009-2014 the associate professor R.M. Madrakhimov, in 2014-2015, the associate professor Zh.U. Khuzhamov, in 2015-2016, the associate professor M.D. Vaisova, 2017-2018, the associate professor Y.R.Saidov. 2018-2020,associate professor A.A.Atamuratov. 2020 the  Since September 16, 2020 the department is headed by PhD. R.A. Sharipov 

At present, 1 academician, 1 professor, 7 candidates of sciences and associate professors, 4 senior lecturers and 7 teachers conduct activity at the department. The department is always in a good collaboration with highly ranked universities in the world in order to improve qualification of teachers and professors.

The members of the department have published a lot of books and manuals such as “Higher mathematics 1, 2”, “Collection of exercises and problems on mathematical analysis 1, 2”, “Holomorphic functions of several variable”, “Borel measures, integrals and potentials”, “Holomorphic functions of matrix variable”, “Theory of pluripotential and its applications.”  

Under the supervision of the department, there are master’s program on the specialty “Mathematical analysis” and institute of research for master and PhD students. Two of doctors of science, 7 master students are doing their scientific research in this field. On March 24, 2016, PhD B. I. Abdullayev presented and defended his doctoral thesis on the theme “Potential theory on m-subharmonic functions”, on March 30, 2018, Z. Sh. Ibragimov presented and defended his PhD thesis on the theme “Pluripolarity of graphs of quasi-analytic functions”. In order to develop the scientific potential and training young staff of department, regular scientific research is being conducted with the involvement of talented master students and scientific researchers.  In consequence, students of the department became winners of the Republican student Olympiads in mathematics, laureates of the State Scholarship of the President of the Republic of Uzbekistan and other state scholarships. In particular, in 2010, the associate professor Vaisova Mokhira became the laureate of the scholarship of the President of the Republic of Uzbekistan among of post-graduate students.

Students have achieved top positions on mathematical Olympiads since 2005. Particularly, in the academic years 2014-2015, 2015-2016 and 2016-2017 the student of mathematics specialty department S.Bekchanov took the 3rd place on Republican mathematical Olympiad among university students, in the academic years 2017-2018, 2018-2019 the student of applied mathematics and informatics specialty department B.Fayzullayev took the 3rd place on Republican mathematical Olympiad among university students. B.Fayzullayev is a winner of bronze medal at the first Al-Khorezmi international mathematical Olympiad for university students which held on 29-30 th October, 2018 in Urgench city. B.Fayzullayev is also a winner of silver medal at the 36-th Siberian mathematical competition which held on November 11, 2018 at Novosibirsk State University, Russian Federation.

Defense of Master's dissertations

Defense of Master's dissertations ...

2021-06-28

The defense of master's dissertations was held on June 28 at the Mathematical Analysis Department of Urgench State University.

7 mast ...

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5130100-

5130100- "Mathematics" graduates defended their Graduation Qualification work ...

2021-06-26

5130100- "Mathematics" graduates defended their Graduation Qualification work was held on June 26. The chairman of the SAC, Professor of ...

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The next scientific seminar was held

The next scientific seminar was held ...

2021-06-24

On June 24, 2021, the Department of Mathematical Analysis of Urgench State University held a regular meeting of the scientific seminar on "The ...

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International cooperation with leading universities of the world is developing at the Faculty of Physics and Mathematics of Urgench State University.

International cooperation with leading universities of the world is developing at the Faculty of Physics and Mathematics of Urgench State University. ...

2019-10-19

In the 2019-2020 academic year, the Department of Physics and Mathematics continues scientific and or ...

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The main scientific results discussed at the Second International Scientific Conference of the USA-Uzbekistan, which was held at Urgench State Univers

The main scientific results discussed at the Second International Scientific Conference of the USA-Uzbekistan, which was held at Urgench State Univers ...

2019-06-28

The main scientific results discussed at the Second International Scientific Conference of the USA-Uzbekistan, which was ...

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Scientific activities of the department

At the department there  is organized scientific research on

-Theory of functions of several complex variables;

-Pluripotential theory and its applications;

-Approximation theory;

-Complex manifolds and analysis on complex manifolds;

There is organized scientific seminars on complex analysis and pluripotential theory at mathematical analysis department. The seminar is held on Thursdays at the Faculty of Physics and Mathematics, In the room number 341. Time 12: 00-13: 30.

The main publications in foreign journals of members of the department:

  • Абдуллаев Б.И., Садуллаев А., Теория потенциалов в классе m-cубгармонических функций// Труды Математического Института имени В.А. Стеклова, Москва, 2012, №279, с.166–192.
  • Sadullayev A., Zeriahi A., Subsets of full measure in a generic submanifold in Cn are nonplurithin// Mathematische Zeitschrift. Springer-Verlag, Berlin. 2013, V.274, no. 3-4, 1155-1163.
  • Aytuna A., Sadullaev A., Parabolic Stein Manifolds// Mathematica Scandinavica Vol 114, No 1 (2014) , P. 86-109.
  • Abdullayev B.I., Subharmonic functions on complex Hyperplanes of Cn// Journal of Siberian Federal University, Mathematics and Physics, - Krasnoyarsk, 2013 № 6(4), pp. 409-416.
  • Imomkulov S.A., Ibragimov Z.Sh., Pluripolarity of Graphs of Denjoy Quasianalytic Functions of Several Variables// Advancement and Development in Mathematical Science(ADMS), Volume 4, Issue 1&2, 2013, pp.17-29.
  • Абдуллаев Б.И., Садуллаев А., Емкости и гессианы в классе субгармонических функций // Доклады Академии Наук Россия, 2013, том 448, № 5, с.1–3.
  • Sadullaev A., Imamkulov S., Rakhimov K., Bounded subharmonic function possess the lebesgue property in each point// Math. Notes. (Russia), Vol. 96, No 6(2014), pp.921-925.
  • Abdullaev B.I., P-measure in the class of m-wsh functions // Journal of Siberian Federal University, Mathematics and Physics, 2014 №7(1),     pp.3-9.
  • Abdullaev B.I., Nevanlinna’s characteristic functions with complex Hessian potential// Contemporary Mathematics, 2016, V. 662, pp.97-105.
  • Ibragimov Z. Pluripolarity of graphs of quasianalyttic function of several complex variables// Contemporary Mathematics, 2016, V. 662, pp.51-69.
  • Imomkulov S. and Ibragimov Z. Uniqueness property for Gonchar quasianalytic functions of several variables// Contemporary Mathematics, 2016, V. 662, pp.121-129.
  • Sadullaev A., Zariahi A., Holder Regularity Of Generic Manifold// Ann. Sc. Norm. Super. Pisa Cl. Sci.(5) Vol XVI(2016), pp. 369-382.
  • Абдуллаев Б.И., Шарипов Р.А., m-субгармонические функции во всем пространстве Cn. Функции Грина// Узбекский математический журнал,  Ташкент, 2013, №3, 3-8.
  • Абдуллаев Б.И., О задаче Дирихле для m-sh функций // Доклады АНРУз., 2013, №4, c.8-10.
  • Абдуллаев Б.И., Ваисова М.Д., Слабо m- гармонические функции// Доклады АНРУз., 2014, №3, с.19-20.
  • Абдуллаев Б.И., Ваисова М.Д., Аналог теоремы Лелона для m-субгармонических функций// Доклады АНРУз , 2015, № 1, с. 6-8.
  • Абдуллаев Б.И., Садуллаев А., Устранимые особенности m-wsh функций класса Lip // Вестник Национального университета Узбекистана, 2015, №1, с.4-6.
  • Абдуллаев Б.И., Садуллаев А., Устранимые особенности ограниченных сверху m-wsh функций// Доклады АНРУз , 2015, № 5, с. 12-14.
  • Atamuratov A.A, Kamolov X.Q. On polynomial power series with the holomorphic coefficients. Istanbul Univ. Sci. Fac. J.Math.Astr. Vol.4 (2013), 27-32
  • A. Aytuna, A. Sadullaev. Parabolic Stein Manifolds. Mathematica Scandinavica Vol 114, No 1 (2014) ,P. 86-109.
  • S.A.Imomkulov, .Sh.Ibragimov Pluripolarity of graphs of Denjoy quasianalytic functions of several variables. Advancement and Development in Mathematical Science (ADMS), Volume 4, Issue 1&2, 2013, P. 17-29
  • S.A.Imomkulov, Z.Sh.Ibragimov. Uniqueness proprty for quasihormonic functions. AAPP| Atti della Accademia Peloritana dei Pericolanti Classe di Scienze Fisiche, Matematiche e Naturali. ISSN 1825-1242 Vol. 91, Suppl. No. 2, A4 (2013)
  • Sadullayev A., Pluriregular compacts in Pn // Contemporary mathematics V.662, 2016, pp. 145-156.
  • Sadullayev A, Aytuna A., Polinomials on parabolic manifolds// Contemporary Mathematics, V.662, 2016, pp. 1-22.
  • Abdullaev B.I., Atamuratov A.A., Vaisova M.D. Analogue of the Lelon's theorem for functions\\ AQSh Contemporary Mathematics 2016 V. 662, pp.139-144.
  • Ibragimov Z. Pluripolarity of graphs of quasianalyttic function of several complex variables \\ AQSh Contemporary Mathematics 2016, V. 662, pp.51-69.
  • Imomkulov S. and Ibragimov Z. Uniqueness property for Gonchar quasianalytic functions of several variables\\ AQSh Contemporary Mathematics 2016, V. 662, pp.121-129.
  • G. Khudayberganov, U. Rakhmonov, Z. Matyakubov, Integral formulas for some matrix domains\\ AQSH Contemporary Mathematics 2016, V. 662, pp.121-129.
  • Ваисова М. Теория потенциала в классе α-субгармонических функции// Узбекский Математический Журнал, 2016 г. №3, с. 46-52
  • Садуллаев А. Абдуллаев Б. Шарипов Р. Устранимые особенности ограниченных сверху m-sh функций// Узбекский Математический Журнал, 2016 г. №3, с. 118-124
  • Sadullaev A., Further Developments of the Pluripotential Theory (Survey), Springer Proceedings in Mathematics & Statistics, Volume 264, 2018, 191-205
  • Sadullaev A.,  Ibragimov Z., Class R of Gonchar in  Cn, Springer Proceedings in Mathematics & Statistics, Volume 264, 2018, 191-205.
  • Sadullaev A.,  Ibragimov Z., The class R and finely-analytic functions, Matematicheskii Sbornik,V. 209, no 8 (2018),  138-151.
  • Abdullaev B.I., Imomkulov S.A., Sharipov R.A. Removable singular sets of m-subharmonic functions. Springer Proceedings in Mathematics & Statistics, Volume 264, 2018, 1-11.

Scientific conferences organized by the department

  • The First USA-Uzbekistan conference on Analysis and Mathematical Physics, May 20-23, 2014, California State University, Fullerton
  • The Second USA-Uzbekistan conference on Analysis and Mathematical Physics, august 8-12, 2017, Urgench State University, Urgench