Anvar Hasanov

I am currently a Leading Researcher at Institute of Mathematics, Uzbek Academy of Sciences, Tashkent, Uzbekistan.

Academic Degree: Doctor of Philosophy, PhD in Mathematics (1982). Doctor of sciences in Physics and Mathematics (2010). Thesis Advisor: prof. M. S. Salakhitdinov.

Anvar_Hasanov

Research interests:
33C05 Classical hypergeometric functions
33C15 Confluent hypergeometric functions
33C20 Generalized hypergeometric series, pFq
33C60 Hypergeometric integrals and functions defined
33C65 Appell, Horn and Lauricella functions
35A08 Fundamental solutions
35J70 Elliptic partial differential equations of degenerate type
35L80 Hyperbolic PDE of degenerate type
35Q05 Euler-Poisson-Darboux equation and generalizations
35M10 PDE of mixed type
44A20 Transforms of special functions
44A45 Classical operational calculus
45D05 Volterra integral equations

Curriculum vitae

Publications in the reviewed journals:

  1. Hasanov, A. S. Berdyshev and A. R. Ryskan. Fundamental solutions for a class of four-dimensional degenerate elliptic equation. Complex variables and elliptic equations. https://doi.org/10.1080/17476933.2019.1606803
  2. Berdyshev A.S., Hasanov A. Ergashev T.G. Double-layer potentials for generalized bi-axially symmetric Helmholtz equation II. Complex variables and elliptic equations. https:/doi.org/10.1080/17476933.2019.1583219
  3. Hasanov Anvarjon, Ergashev T.G. Solutions of PDE systems for Kamp´e de F´eriet type functions. Bulletin of the Institute of Mathematics. 2018,3, pp.23-28
  4. Хасанов А., Бердышев А. Задачи на собственные значения для одного класса вырождающегося дифференциальных уравнений третьего порядка составного типа. Бюллетень института математики. 4, 2018, 1-5.
  5. Maged G. Bin-Saad, Anvar Hasanov and Mamasali Turaev. Decomposition Formulas of Kampe´ de Fe´riets Double Hypergeometric Functions. Theory Appl., Vol. 34, No. 3 (2018), pp. 275-292
  6. Hasanov A., Maged G. Bin-Saad, Berdyshev A. Solutions of PDE systems for Appell-type functions. Uzbek Mathematical Journal, 2018, 2 , pp.50-62.
  7. Anvar Hasanov, Maged G. Bin Saad, Ainur Ryskan. Some properties of Horn type second order double hypergeometric series. Bulletin KRASEC. Physical and Mathematical Sciences. № 1(21). C. 32-47, 2018.
  8. Ergashev T.G., Hasanov A. Fundamental solutions of the bi-axially symmetric Helmholtz equation. Uzbek Mathematical Journal, 2018, No1, pp.55-64.
  9. Anvar Hasanov, Maged G. Bin-Saad and Rakhila B. Seilkhanova. Applications of symbolic operators to the Kampé de Fériets double hypergeometric series. Palestine Journal of Mathematics. Vol. 7(1) (2018), 191-201.
  10. Anvar Hasanov, Maged G. Bin Saad, Rakhila B. Seilkhanova. Integrated Representations of Euler- Type for Functions Related to Kampe’ de Fe’riet Function of the Fourth Order(II). International Journal of Pure and Applied Mathematical Technologies; Vol. 2016.1.2; pp. 10-17.
  11. Anvar Hasanov, Rakhila B. Seilkhanova and Roza D. Seilova, Linearly independent solutions of the system of hypergeometric Exton function X12. Contemporary Analysis and Applied Mathematics. Vol.3, No.2, 279-282, 2015. DOI: 10.18532/caam.02474
  12. Rakhila B. Seilkhanova, Anvar H. Hasanov; Particular solutions of  generalized Euler-Poisson-Darboux equation, Electron. J. Diff. Equ., Vol. 2015 (2015), No. 09, pp. 1-10. http://ejde.math.txstate.edu/
  13. H. M. Srivastava, Anvar Hasanov and Junesang Choi. Double-Layer Potentials for a Generalized Bi-Axially Symmetric Helmholtz Equation. Sohag Journal of Mathematics An International Journal. 2, No. 1, 1-10 (2015)
  14. Anvar Hasanov, Maged G. Bin Saad, Rakhila B. Seilkhanova. Integral Representations of Euler Type for Kampe de Feriet Functions of the Fourth Order. Ganita Sandesh, V. 28, No 1 and 2, 2014, pp. 5-12.
  15. Maged G. Bin-Saad and Anvar Hasanov. Linear Independent Solutions and Operational Representations for Hypergeometric Functions of Four Variables. Chinese Journal of Mathematics. Volume 2014, pp. 1-6. Article ID 273064, 6 pages. http://dx.doi.org/10.1155/2014/273064
  16. M.S. Salakhitdinov and A. Hasanov. The Dirichlet problem for the generalized bi-axially symmetric Helmholtz equation. Eurasian Mathematical Journal, Volume 3, Number 4(2012), 99 – 110.
  17. Junesang Choi, Anvar Hasanov and Mamasali Turaev. Integral Representations for Srivastava’s Hypergeometric Functions . Honam Mathematical journal. 34 (4), 2012, 473-482.
  18. Junesang Choi, Anvar Hasanov and Mamasali Turaev. Serendipitous Functional Relations Deducible from Certain Generalized Triple Hypergeometric Functions. Kyungpook Math. J. 52(2012), 109-136
  19. Junesang Choi, Anvar Hasanov and Mamasali Turaev, Integral Representations for Srivastava’s Hypergeometric Functions. Journal of the Korea Society of Mathematical Education. 19 (2), 2012, 137-145.
  20. Junesang Choi, Anvar Hasanov and Mamasali Turaev, Certain Integral Representations of Euler type for the Exton Function . Commun. Korean Math. Soc. 27 (2012), No. 2, pp. 257-264.