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
Main publications:
A. Hasanov, “Fundamental solutions of generalized bi-axially symmetric Helmholtz equation”, Complex Variables and Elliptic Equations, 52:8 (2007), 673–683
A. Hasanov and H. Srivastava, “Decomposition Formulas Associated with the Lauricella Multivariable Hypergeometric Functions”, Computers and Mathematics with Applications, 53:7 (2007), 1119–1128
A. Hasanov, “The solution of the Cauchy problem for generalized Euler-Poisson-Darboux equation”, International Journal of Applied Mathematics & Statistics, 8:7 (2007), 30–44
N. J. Komilova, T. G. Ergashev, A. Hasanov, “Expansions of Kampé de Fériet hypergeometric functions”, Chelyab. Fiz.-Mat. Zh., 10:3 (2025), 513–526
2.
Z. O. Arzikulov, A. Hasanov, T. G. Ergashev, “Confluent hypergeometric functions and their application to the solution of Dirichlet problem for the Helmholtz equation with three singular coefficients”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 29:3 (2025), 407–429
2023
3.
T. G. Ergashev, A. Hasanov, T. K. Yuldashev, “Multiple Euler integral representations for the Kampé de Fériet functions”, Chelyab. Fiz.-Mat. Zh., 8:4 (2023), 553–567
A. Hasanov, T. K. Yuldashev, “Formula for analytic continuation of the Kampé de Fériet hypergeometric function”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 217 (2022), 97–106
2021
5.
A. S. Berdyshev, A. Hasanov, A. Ryskan, “A boundary-value problem for a class of four-dimensional degenerate elliptic equations”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 194 (2021), 55–70
2020
6.
A. S. Berdyshev, A. Hasanov, A. R. Ryskan, “Solution of the Neumann problem for one four-dimensional elliptic equation”, Eurasian Math. J., 11:2 (2020), 93–97
T. G. Ergashev, A. Hasanov, “Holmgren problem for elliptic equation with singular coefficients”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 32:3 (2020), 114–126
2018
8.
A. Hasanov, M. Saad, A. Ryskan, “Some properties of Horn type second order double hypergeometric series”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 1(21), 32–47
2012
9.
M. S. Salakhitdinov, A. Hasanov, “The Dirichlet problem for the generalized bi-axially symmetric Helmholtz equation”, Eurasian Math. J., 3:4 (2012), 99–110
M. S. Salakhitdinov, A. Hasanov, “The Tricomi problem for an equation of mixed type with a nonsmooth line of degeneracy”, Differ. Uravn., 19:1 (1983), 110–119
