Disciplines:

Higher mathematics, mathematics in economics, discrete mathematics, probability theory and mathematical statistics

Main publications:

1.Tests and methodological instructions in mathematics (for students of correspondence departments of economic sciences). Dushanbe 2010. Printed by Khovaron LLC.

  1. Laboratory work in computer science. Dushanbe 2010. Gift of matbaai YDMM “Khovaron” 180 p.
  2. A set of test questions for high school applicants. Dushanbe 2011. Publishing house OOO "Khovaron". 320 pp.

4.Methodological manual on higher mathematics. (for students of economic specialties). Dushanbe 2012. Printed by OOO Parastu. 280 p.

  1. Probability Theory and Mathematical Statistics. Study Guide. (Shodmanov M.U., Soliev M.N. Dushanbe 2014. Printed by Parastu LLC. 280 p.
  2. Application of Mathematical Methods in Solving Economic Problems. Textbooks. (Shodmanov M.U., Kabirov A.T.) Dushanbe 2017. Olami Donish Publishing House. 380 p.
  3. Independent work and methodological instructions on higher mathematics for full-time students majoring in economics. Dushanbe 2018. Printed by Khovaron LLC.
  4. Examples of solutions to problems and test tasks in mathematics in economics. Study guide. (Shodmanov M.U., Saidov B.B.) Dushanbe 2021. Printing house of the Ministry of Education and Science of the Republic of Tajikistan. 380 pp.
  5. Some boundary value problems of conjugation with a shift in the singular case and singular boundary value problems of conjugation for a system of first-order equations of elliptic type. Monograph. (Usmonov N., Shodmanov M.U., Saidov B.B.). Dushanbe 2021. Printed in the printing house of the Ministry of Education and Science of the Republic of Tatarstan. 120 p.
  6. Brief sections of higher mathematics. Textbooks. (Kabirov A.T., Saidov B.B., Shodmanov M.U.). Dushanbe 2024. Edition. "Sarmad-Company", 320 p.
  7. Research of singular boundary value problems of the theory of analytic functions, singular integral equations and the theory of systems of differential equations. Collective monograph. (Usmonov N., Shodmanov M.U. et al.). Dushanbe, publ. "Sarmad-Company", 218 p.
  8. Higher Mathematics for Economists. (Shodmanov M.U., Shoyimkulov A.M., Shomirzoev A.). Dushanbe 2024. Printed in the printing house of the Ministry of Education and Science of the Republic of Tatarstan. 386 p.
  9. Higher Mathematics. Textbooks. (Shodmanov M.Yu., Nabiev Zh., Pirnazarov K.). Dushanbe 2024. In the printing house of Bebok LLC.
  10. General boundary value problem of linear conjugation with shift with singular boundary conditions. Collection of scientific papers. Ukraine, Chernivtsi. Issue No. 21 (37), 2012, pp. 312-316.
  11. Singular boundary value problem of linear conjugation in the parabolic case. Collection of scientific papers. Ukraine, Chernivtsi. Issue No. 21 (37), 2012, pp. 316-320.
  12. Theory of solvability of boundary value problems with shift in the singular case. Bulletin of the National University. Series of Natural Sciences. No. 2. 2019, p. 121.
  13. Boundary Value Problems for One Class of a System in Total Differentials with Singular Points. Collection of Abstracts of the International Scientific Conference "Ufa Autumn Mathematical School-2020", No. 2. Ufa, Russia, November 11-14, 2020, pp. 106-108.
  14. The solution of an internal singular homogeneous boundary value problem of the type of the Carleman problem with zeros and poles is conjugate - analytical in nature. Proceedings of the Republican scientific conference dedicated to the 70th anniversary of Professor A. Sattorov., Bokhtar-2020.
  15. External Carleman boundary value problem in a special case. Proceedings of the international scientific conference dedicated to the 70th anniversary of Academician of the National Academy of Sciences of Tajikistan, Doctor of Physical and Mathematical Sciences, Professor Boymatov K. Kh. Dushanbe, December 25-26, 2020.
  16. The solution of an interior singular homogeneous boundary value problem of the Carleman problem type with zeros and poles is conjugate - analytical in nature. Bulletin of the branch of Moscow State University in Dushanbe, No. 1 (13). Dushanbe, 2020, pp. 32-39. Series of natural sciences.
  17. Singular boundary value problem of linear conjugation with shift in the parabolic case. Bulletin of the Moscow State University branch in Dushanbe. No. 3 (15) 2020, pp. 22-34. Natural Sciences Series.
  18. General boundary value problem of linear conjugation with discontinuous coefficients. Proceedings of the international conference dedicated to the 80th anniversary of the birth of Doctor of Physical and Mathematical Sciences, Professor E.M. Mukhamadiev. Collection of articles and international scientific and practical conference on the topic "On the application of differential equations in solving applied problems" Dushanbe, November 4, 2021, pp. 181-185.
  19. Representation of solutions of one boundary value problem for systems of differential equations. Collection of articles of the II international scientific and practical conference on the topic “On the application of differential equations in solving applied problems” TNU. 4 - November 2021, pp. 145 - 149.
  20. Boundary Value Problems for One Class of Linear Systems of Differential Equations with Singular Points. Proceedings of the International Scientific and Practical Conference "Modern Problems of Mathematics and its Applications", Lomonosov Moscow State University Branch in Dushanbe, June 3-4, 2022, pp. 190-200.
  21. Riemann boundary value problem on a simple closed smooth contour for a piecewise analytic vector with discontinuous coefficients. Bulletin of the Moscow State University branch in Dushanbe.Vol. 1, No. 2 (23) 2022, pp. 49-57. Natural Sciences Series.
  22. Boundary value problem of the Riemann type in cases when the coefficient has zeros and poles of the conjugate-analytical structure for a system of elliptic equations. Proceedings of the international scientific conference dedicated to the 75th anniversary of TNU, the 20th anniversary of the development of exact, natural and mathematical sciences 2020-2040, the 85th anniversary of the academician of the NAS of Tajikistan Radjabov Nusrat, D. Dushanbe, October 5, 2023, pp. 222-225.
    1. On one class of system in total differentials of a function of three variables with a singular point. Proceedings of the international scientific conference dedicated to the 75th anniversary of TNU, the 20th anniversary of the development of exact, natural and mathematical sciences 2020-2040, the 85th anniversary of the academician of the NAS of Tajikistan Nusrat Radjabov. 05.10. Dushanbe-2023, pp.250-257.
    2. Some boundary value problems of conjugation for a system of first-order equations of elliptic type. Bulletin of the Branch of Moscow State University named after M.V. Lomonosov in Dushanbe. Series of natural sciences. Vol. 1, No. 3 (33), Dushanbe 2023.
    3. Сингулярная граничная задача сопряжения аналитических функций с сингулярными точками на контуре. Вестник филиала МГУ в г. Душанбе 2025.
    4. Interior homogeneous boundary value problem of the Carleman type in the singular case. Proceedings of the international scientific and practical conference "Modern Problems of Mathematics and its Applications", branch of Moscow State University named after M. V. Lomonosov, Dushanbe 2024

    31 Loaded homogeneous conjugation problem in the singular case. Proceedings of the international scientific and practical conference "Modern Problems of Mathematics and its Applications", branch of Moscow State University named after M. V. Lomonosov, Dushanbe 2024.

    1. Solution of the boundary value problem of one class of a system of differential three equations in total differentials with a singular point. Proceedings of the international scientific and practical conference, Institute of Mathematics, AMIT. 2024
    2. Solution of the boundary value problem of one class of a system of differential three equations in total differentials with a singular point. Proceedings of the international scientific and practical conference "Modern Problems of Mathematics and its Applications", branch of Moscow State University named after M.V. Lomonosov, Dushanbe 2024.
    3. Riemann boundary value problem for a system of n-pairs of functions. Proceedings of the international scientific and theoretical conference dedicated to the “Twentieth anniversary of the study and development of natural, exact and mathematical sciences in the field of science and education” and the 80th anniversary of the birth of Professor Boymurod Aliyev. Tajik National University. Dushanbe 2025. Pp. 117-120.
    4. The problem of conjugation of analytic functions with additional terms in the first parts in the singular case. Proceedings of the international scientific and practical conference "Modern Problems of Mathematics and its Applications", branch of Moscow State University named after M. V. Lomonosov in Dushanbe - 2025.
    5. Loaded singular boundary value problem of conjugation of generalized analytic functions with additional assignments of boundary moments. Proceedings of the international scientific and practical conference "Modern Problems of Mathematics and its Applications", branch of Moscow State University named after M. V. Lomonosov in Dushanbe - 2025.
    6. General boundary value problem of linear conjugation in the singular case. Bulletin of the branch of Moscow State University in Dushanbe 2025.
                   In addition, 10 scientific-methodological and educational-methodological manuals, 100 scientific-methodological articles in scientific-methodological journals in the country and abroad have been published.