Kafedra ilmiy ishlari

Kafedrada quyidagi ilmiy yo’nalishlarda tadqiqot ishlari yo’lga qo’yilgan:

-Ko’p kompleks o’zgaruvchili funksiyalar nazariyasi;

-Plyuripotensiallar nazariyasi va uning tadbiqlari;

-Golomorf va garmonik yaqinlashtirishlar(approksimatsiya nazariyasi);

-Kompleks ko’pxilliklar va ularda aniqlangan analitik funksiyalar;

Kafedra qoshida Kompleks analiz va plyuripotensiallar nazariyasiga bag’ishlangan ilmiy seminar faoliyat ko’rsatadi va seminar har xaftada payshanba kuni soat 12:00 da fizika-matematika fakultetida 341-xonada bo’lib o’tadi.

Kafedra a’zolari tomonidan nashr qilingan asosiy ilmiy ishlar:

• 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.

Kafedra hamkorligida tashkil etilgan yirik xalqaro ilmiy konferensiyalar

• 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