Riemann surfaces, boundary value problems for analytic functions, univalent functions, quasiconformal mappings
Subject:
complex analysis, geometric function theory
Biography
Graduated from Kazan State University in 1979, diploma of mathematics. Occupation: Chebotarev Research Institute of Mech and Math. (1979-1987), Kazan University, Chair of Mathematical Analysis (since 1979).
Member of AMS (since 1987), reviewer for MR and ZfM. Organizer of Internarional Kazan summer conferences in Function Theory and Applications, held every two years (since 1993).
Main publications:
S. R. Nasyrov, “Riemann-Schwarz reflection principle and asymptotics of modules of rectangular frames”, Computational Methods and Function Theory, 15:1 (2015), 59–74 , arXiv: 1305.6605
S. R. Nasyrov, “Determination of the Polynomial Uniformizing a Given Compact Riemann Surface”, Math. Notes, 91:4 (2012), 558–567
S. R. Nasyrov, “Variations of Robin capacity and applications”, Siberian Math. J., 49:5 (2008), 894–910
S. R. Nasyrov, “Nuttall decomposition of a three-sheeted torus”, Izv. Math., 88:5 (2024), 873–929
2.
A. Dyutin, S. Nasyrov, “One parameter families of conformal mappings
of bounded doubly connected polygonal domains”, Lobachevskii Journal of Mathematics, 45:1 (2024), 390–411 , arXiv: arxiv:2312.01112
3.
A. Kushaeva, K. Kushaeva, S. Nasyrov, “Quasiconformal reflection with respect to the boundary of an isosceles trapezoid”, Lobachevskii Journal of Mathematics, 45:10 (2024) (to appear) , arXiv: arxiv:2408.01821
2023
4.
S. Nasyrov, T. Sugawa, M. Vuorinen, “Moduli of quadrilaterals and quasiconformal reflection”, Journal of Mathematical Analysis and Applications, 524:2 (2023), 127092 , 27 pp., arXiv: arXiv:2111.08304v1
A. F. Posadskii, S. R. Nasyrov, “One-parameter families of conformal mappings of the half-plane onto polygonal domains with several slits”, Lobachevskii Journal of Mathematics, 44:4 (2023), 1448–1463 , arXiv: arXiv:2302.04350v1
F. G. Avkhadiev, I. R. Kayumov, S. R. Nasyrov, “Extremal problems in geometric function theory”, Russian Math. Surveys, 78:2 (2023), 211–271
7.
S. R. Nasyrov, V. G. Nguyen, “Asymptotics of the exterior conformal modulus of a quadrilateral under stretching map”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 5, 89–95
8.
D. Dautova, R. Kargar, S. Nasyrov, M. Vuorinen, “Intrinsic metrics in polygonal domains”, Mathematische Nachrichten, 2023, 1–17
2022
9.
A.D. Baranov, I.R. Kayumov, S.R. Nasyrov, “On Bloch seminorm of finite Blaschke products in the unit disk”, Journal of Mathematical Analysis and Applications, 509:2 (2022), 125983 , arXiv: 2203.15142v1
D. Dautova, S. Nasyrov, O. Rainio, M. Vuorinen, “Metrics and quasimetrics induced by point pair function”, Bulletin of the Brazilian Mathematical Society, New Series, 53 (2022), 1377-1401 , arXiv: 2202.08518
Giang V. Nguyen, S. R. Nasyrov, “Asymptotics of the conformal modulus of a nonsymmetric unbounded doubly-connected domain under stretching”, Lobachevskii Journal of Mathematics, 43:10 (2022), 265–276 , arXiv: 2208.04603
M. M. S. Nasser, S. Nasyrov, Matti Vuorinen, “Level sets of potential functions bisecting unbounded quadrilaterals”, Analysis and Mathematical Physics, 12:149 (2022), 1-15 , arXiv: 2206.01316v1
S. Nasyrov, Nguyen Van Giang, “Asymptotics of the conformal modulus of unbounded symmetric doubly connected domain under stretching”, Lobachevskii Journal of Mathematics, 42:12 (2021), 2895–2904
H. Hakula, S. Nasyrov, M. Vuorinen, “Conformal moduli of symmetric circular quadrilaterals with cusps”, Electronic Transactions on Numerical Analysis, 54 (2021), 460-482 , arXiv: 2006.10371
D. Dautova, S. Nasyrov, M. Vuorinen M, “Conformal modulus of the exterior of two rectilinear slits”, Computational Methods and Function Theory, 40:9 (2021), 109-130 , arXiv: 1908.02459
N. R. Abubakirov, F. G. Avkhadiev, A. V. Aminova, M. M. Arslanov, A. M. Bikchentaev, V. V. Vasin, F. N. Garif'yanov, A. M. Denisov, A. M. Elizarov, N. K. Zamov, B. A. Kats, O. A. Kashina, D. V. Maklakov, V. P. Maksimov, S. R. Nasyrov, N. I. Popov, L. G. Salekhov, R. B. Salimov, S. G. Samko, N. Temirgaliev, E. A. Turilova, Yu. E. Hohlov, P. L. Shabalin, L. N. Shevrin, A. N. Sherstnev, E. A. Shirokova, V. V. Shurygin, “Leonid Aleksandrovich Aksent'ev”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 3, 98–100
2020
17.
S. Nasyrov, “Families of elliptic functions, realizing coverings of the sphere, with branch-points and poles of arbitrary multiplicities”, Lobachevskii Journal of Mathematics, 41:11 (2020), 2223-2230
D. Dautova , S. Nasyrov, “Asymptotics of Conformal Module of Nonsymmetric Doubly Connected Domain under Unbounded Stretching Along the Real Axis”, Lobachevskii Journal of Mathematics, 40:9 (2019), 1268–1274
A. S. Mikhailov, S. R. Nasyrov, T. R. Samerkhanov, A. V. Kosterin, “Study of Jet Propagation and Prevention of Jet Reattachment to the Nacelle during Jet Engine Thrust Reversal”, Russian Aeronautics, 62:3 (2019), 448–454
2018
20.
D. N. Dautova, S. R. Nasyrov, “Asymptotics of the Modules of Mirror Symmetric Doubly Connected Domains under Stretching”, Math. Notes, 103:4 (2018), 537–549
21.
S. R. Nasyrov, “Uniformization of Simply-Connected Ramified Coverings of the Sphere by Rational Functions”, Lobachevskii Journal of Mathematics, 39:2 (2018), 252–258
Nasyrov S.R., “Geometricheskie i analiticheskie problemy teorii razvetvlennykh nakrytii sfery”, Itogi nauki i tekhniki. Sovremennaya matematika i ee prilozheniya. Tematicheskie obzory, 2018 (to appear) , arXiv: 1712.04643
23.
S. R. Nasyrov, “Families of elliptic functions and uniformization of complex tori with a unique point over infinity”, Probl. anal. Issues Anal., 7(25):2 (2018), 98–111
L. A. Aksent'ev, A. I. Aptekarev, A. M. Bikchentaev, V. V. Goryainov, V. N. Dubinin, A. M. Elizarov, I. R. Kayumov, A. Laptev, S. R. Nasyrov, D. V. Prokhorov, A. G. Sergeev, V. D. Stepanov, “Farit Gabidinovich Avkhadiev (on his 70th birthday)”, Russian Math. Surveys, 73:1 (2018), 181–185
25.
A. M. Bikchentaev, S. R. Nasyrov, E. A. Turilova, “Anatolij Nikolaevich Sherstnev (on 80th birthday anniversary)”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 160, no. 3, Kazan University, Kazan, 2018, 590–598
2017
26.
S. R. Nasyrov, “Conformal mappings of stretched polyominoes onto half-plane”, Lobachevskii J. Math, 38:3 (2017), 494–501 , arXiv: 1308.4392
S. R. Nasyrov, “Uniformization of one-parametric families of complex tori”, Russian Math. (Iz. VUZ), 61:8 (2017), 36–45
28.
S. R. Nasyrov, “Uniformization of Simply Connected Ramified Coverings of the Sphere by Rational Functions”, Doklady Mathematics, 96:2 (2017), 430–432
29.
I. R. Kayumov, S. R. Nasyrov, P. L. Shabalin, “Farit Gabidinovich Avkhadiev (k semidesyatiletiyu so dnya rozhdeniya)”, Teoriya funktsii, ee prilozheniya i smezhnye voprosy. Materialy Trinadtsatoi mezhdunarodnoi Kazanskoi letnei nauchnoi shkoly-konferentsii. (Kazan, 21–27 avgusta 2017 g.), Trudy Matematicheskogo tsentra imeni N. I. Lobachevskogo, 54, eds. S. R. Nasyrov, Izdatelstvo Kazanskogo matematicheskogo obschestva, Kazan, 2017, 3–6http://kpfu.ru/portal/docs/F176325004/2017_proceedings2.pdf
30.
A. M. Bikchentaev, R. N. Gumerov, S. R. Nasyrov, “Suren Arshakovich Grigoryan (k semidesyatiletiyu so dnya rozhdeniya)”, Teoriya funktsii, ee prilozheniya i smezhnye voprosy. Materialy Trinadtsatoi mezhdunarodnoi Kazanskoi letnei nauchnoi shkoly-konferentsii. (Kazan, 21–27 avgusta 2017 g.), Trudy Matematicheskogo tsentra imeni N. I. Lobachevskogo, 54, eds. S. R. Nasyrov, Izdatelstvo Kazanskogo matematicheskogo obschestva, Kazan, 2017, 7–9http://kpfu.ru/portal/docs/F176325004/2017_proceedings2.pdf
31.
Sh. Kh. Zaripov, A. R. Kasimov, S. R. Nasyrov, “About Nikolai Borisovich Il'inskii – a scientist and mentor”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 159, no. 2, 2017
2016
32.
N. N. Nakipov, S. R. Nasyrov, “A parametric method of finding accessory parameters for the generalized Schwarz–Christoffel integrals”, Physics and mathematics, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 158, no. 2, Kazan University, Kazan, 2016, 202–220
33.
F. G. Avkhadiev, S. R. Nasyrov, “Mathematical Analysis in Kazan University”, Proc. Int. Conf. in Algebra, Analysis and Geometry (Kazan, 26.06. – 2.07.2016), Kazan Federal Univ., Kazan, 2016, 13–18
34.
M. V. Balashov, O. V. Besov, B. I. Golubov, V. V. Goryainov, V. N. Diesperov, S. I. Dudov, G. E. Ivanov, S. P. Konovalov, R. V. Konstantinov, A. B. Kurzhanskii, S. R. Nasyrov, A. G. Sergeev, V. V. Starkov, V. M. Tikhomirov, M. I. Shabunin, “Evgenii Sergeevich Polovinkin (on his 70th birthday)”, Russian Math. Surveys, 71:5 (2016), 983–987
2015
35.
S. R. Nasyrov, “Riemann-Schwarz reflection principle and asymptotics of modules of rectangular frames”, Computational Methods and Function Theory, 15:1 (2015), 59–74 , arXiv: 1305.6605
S. R. Nasyrov, “Determination of the Polynomial Uniformizing a Given Compact Riemann Surface”, Math. Notes, 91:4 (2012), 558–567
37.
N. N. Nakipov, S. R. Nasyrov, “Asymptotics of acessory parameters in generalized Schwarz–Christoffel integral and solution of an operator equation”, Coll. of sci. works of Kazan Univ., (upon the results of the contest for the best student work in Kazan Univ. in 2012), Kazan Univ., Kazan, 2012, 43–46
2011
38.
S. R. Nasyrov, L. Yu. Nizamieva, “Finding of accessory parameters for mixed inverse boundary value problem with polygonal known part of boundary”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 11:4 (2011), 34–40
39.
L. A. Aksent'ev, S. R. Nasyrov, A.N.Sherstnev, “Chair of Mathematical Analysis”, Department of Mechanics and Mathematics of Kazan University. 3-rd ed., corr. and rev., eds. S. R. Nasyrov, Kazan Univ., Kazan, 2011, 91–119
2009
40.
S. R. Nasyrov, L. Yu. Nizamieva, “Gakhov equation for external mixed inverse boundary value problem on Riemann surfaces with branch-point of arbitrary order over the infinity”, Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2009, no. 4(70), 30–43
2008
41.
S. R. Nasyrov, “Variations of Robin capacity and applications”, Siberian Math. J., 49:5 (2008), 894–910
42.
S. R. Nasyrov, L. Yu. Nizamieva, “Gakhov Equation for Mixed Inverse Boundary Value Problem on Riemann Surface with a Simple Branch-Point over Infinity”, Physics and mathematics, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 150, no. 1, Kazan University, Kazan, 2008, 91–101
S. R. Nasyrov, “On the Univalence of Derivatives of Functions which are Univalent in Angular Domains”, Math. Notes, 82:6 (2007), 798–802
2006
45.
S. R. Nasyrov, I. Z. Faizov, “Local uniqueness of solution of a mixed boundary value problem for Riemann surfaces with branch-points”, Physics and mathematics, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 148, no. 2, Kazan University, Kazan, 2006, 97–108
2004
46.
S. R. Nasyrov, “Riemann surfaces bounded by curves with given projections of branch points”, Russian Math. (Iz. VUZ), 48:8 (2004), 45–58
2002
47.
G. R. Galiullina, S. R. Nasyrov, “The Gakhov equation for an exterior mixed inverse boundary value problem with respect to the parameter $x$”, Russian Math. (Iz. VUZ), 46:10 (2002), 46–53
S. R. Nasyrov, “Kazan Summer School-Conferences in Function Theory”, Integral Transforms and Special Functions. Information bulletin, 3:1 (2002), 6 pp.
50.
F. G. Avkhadiev, L. A. Aksent'ev, A. M. Elizarov, S. R. Nasyrov, “Seminar on geometric function theory: main results of the last two decades”, Proc. of Lobachevskii Math. Center, 14, Kazan Math. Soc., Kazan, 2002, 7–38
2001
51.
A. M. Elizarov, S. R. Nasyrov, P. L. Ul'yanov, “Fifth Kazan' International Summer School-Conference “Theory of Functions, its Applications and Adjacent Problems””, Uspekhi Mat. Nauk, 56:6(342) (2001), 183–184
2000
52.
A. M. Elizarov, S. R. Nasyrov, P. L. Ul'yanov, “Third Kazan' School-Conference “Theory of Functions, its Applications and Adjacent Problems””, Uspekhi Mat. Nauk, 55:3(333) (2000), 205–206
1999
53.
S. R. Nasyrov, “The Lavrent'ev extremum problem for the lift force in the flow around an arc with small curvature”, Physics-Doklady, 44:4 (1999), 245-248
1998
54.
G. G. Bilchenko, I. R. Kayumov, S. R. Nasyrov, M. F. Sadykov, “Ramified coverings of nonorientable surfaces by orientable surfaces with prescribed boundary projection”, Math. Notes, 63:2 (1998), 253–255
1997
55.
A. M. Elizarov, S. R. Nasyrov, P. L. Ul'yanov, A. N. Sherstnev, “Second Kazan' School-Conference “Algebra and Analisys””, Uspekhi Mat. Nauk, 52:6(318) (1997), 215
1996
56.
L. A. Aksent'ev, A. M. Elizarov, S. R. Nasyrov, P. L. Ul'yanov, “Second Kazan' School-Conference “Theory of Functions and its Applications””, Uspekhi Mat. Nauk, 51:1(307) (1996), 183–184
1995
57.
S. R. Nasyrov, “The metric space of the Riemann surfaces over the sphere”, Dokl. Math., 52:1 (1995), 91–94
58.
S. R. Nasyrov, “Generalized Riemann-Hurwitz formula”, Rev. Romain Acad. Sci., 40:2 (1995), 177-194
59.
S. R. Nasyrov, “On existence of Riemann surfaces bounded with given curves”, Function Theory and Approximations. Proc of 7-th Saratov winter school (Saratov, 30.01 – 04.02, 1994), Saratov State Univ., Saratov, 1995, 35–43
60.
S. R. Nasyrov, “The metric space of Riemann surfaces over the sphere”, Russian Acad. Sci. Sb. Math., 82:2 (1995), 337–356
1994
61.
L. A. Aksent'ev, S. R. Nasyrov, P. L. Ul'yanov, “Kazan' School-Conference”, Uspekhi Mat. Nauk, 49:1(295) (1994), 235
62.
S. R. Nasyrov, “Branched covers of Riemann surfaces with a given projection of the boundary”, St. Petersburg Math. J., 5:3 (1994), 607–631
1993
63.
S. R. Nasyrov, D. A. Fokin, “Proof of the convergence of an approximate method of conformal mapping of the exterior of an airfoil onto the exterior of a circle”, Comput. Math. Math. Phys., 33:11 (1993), 1447–1457
1992
64.
S. R. Nasyrov, “Skhodimost k yadru rimanovykh poverkhnostei i ikh universalnykh nakrytii”, Geometricheskaya teoriya funktsii i kraevye zadachi, Tr. sem. po kraev. zadacham, 27, Izd-vo Kazanskogo un-ta, Kazan, 1992, 82–95
65.
F. Kh. Arslanov, S. R. Nasyrov, “Nekotorye obobscheniya uslovii odnolistnosti Bekkera dlya analiticheskikh funktsii”, Geometricheskaya teoriya funktsii i kraevye zadachi, Tr. sem. po kraev. zadacham, 27, Izd-vo Kazanskogo un-ta, Kazan, 1992, 37–47
1991
66.
F. Kh. Arslanov, S. R. Nasyrov, “On a combination of sufficient conditions for the univalence of analytic functions that generalizes the Becker condition”, Soviet Math. (Iz. VUZ), 35:4 (1991), 77–79
1990
67.
S. R. Nasyrov, “A mixed inverse boundary value problem on Riemann surfaces”, Soviet Math. (Iz. VUZ), 34:10 (1990), 28–42
68.
S. R. Nasyrov, “Bicompactness of spaces of Riemann surfaces in the topology induced by convergence to the kernel”, Trudy Sem. Kraev. Zadacham, 24, Kazan University, Kazan, 1990, 174–187
69.
A. V. Kiselev, S. R. Nasyrov, “The structure of the set of roots of F. D. Gakhov's equation for a simply connected and a multiply connected domain”, Trudy Sem. Kraev. Zadacham, 24, Kazan University, Kazan, 1990, 105–115
1988
70.
S. R. Nasyrov, “Topological space of Riemann surfaces connected with convergence to a kernel”, Dokady. AN USSR, 1988, no. 5, 19–22
1987
71.
R. M. Nasyrov, S. R. Nasyrov, “The convergence of S. A. Khristianovich's approximate method for solving the Dirichlet problem for an elliptic equation”, Soviet Math. (Iz. VUZ), 31:3 (1987), 80–89
72.
A. A. Vinichenko, S. R. Nasyrov, “Convergence of an approximate analogue method for solving the Schwarz boundary value problem”, Trudy Sem. Kraev. Zadacham, 23, Kazan University, Kazan, 1987, 53–60
1988
73.
S. R. Nasyrov, “Construction of finite Riemann surfaces from a boundary curve”, Sov. Math., Dokl., 36:3 (1988), 612-616
1986
74.
F. G. Avkhadiev, S. R. Nasyrov, “Construction of a Riemann surface from its boundary”, Soviet Math. (Iz. VUZ), 30:5 (1986), 1–12
1987
75.
R. M. Nasyrov, S. R. Nasyrov, “Convergence of an approximate method of S. A. Khrisianovich for solving the Dirichlet problem for an elliptic equation”, Soviet Math. Dokl., 34:3 (1987), 484-488
1986
76.
R. M. Nasyrov, S. R. Nasyrov, “Convergence of S. A. Khristianovich's approximate method for solving the Dirichlet problem for an elliptic equation”, Dokl. Akad. Nauk SSSR, 291:2 (1986), 294–298
1985
77.
F. G. Avkhadiev, S. R. Nasyrov, “Necessary conditions for the existence of a Riemann surface with a given boundary”, Trudy Sem. Kraev. Zadacham, 22, Kazan University, Kazan, 1985, 6–15
1984
78.
S. R. Nasyrov, Yu. E. Khokhlov, “Uniqueness of the solution of the exterior inverse boundary value problem in the class of spiraloid domains”, Soviet Math. (Iz. VUZ), 28:8 (1984), 29–33
79.
N. B. Il'inskii, S. R. Nasyrov, “The problem of determining the underground contour from the back pressure curve in the presence of rectilinear water pressure”, Soviet Math. (Iz. VUZ), 28:2 (1984), 47–58
1983
80.
S. R. Nasyrov, “Application of the Loewner–Kufarëv equation to obtaining sufficient conditions for univalence”, Soviet Math. (Iz. VUZ), 27:12 (1983), 61–64
1982
81.
N. B. Il'inskii, S. R. Nasyrov, “The problem of constructing a spillway contour from the back pressure curve”, Soviet Math. (Iz. VUZ), 26:2 (1982), 19–29
82.
S. R. Nasyrov, “On quasiconformal extension for a class of univalent functions”, Mapping theory, generalizations and appls., Naukova dumka, Kiev, 1982
1981
83.
S. R. Nasyrov, M. A. Sevodin, “Criteria for univalence of Nehari–Pokornyi type in $\alpha$-star-shaped domains”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 11, 78–80
1979
84.
S. R. Nasyrov, “Geometric characterization of domains in the space of several complex variables”, Proc. XVII All-Soviet Stud..Conf. Mathematics, Novosibirsk State Univ., Novosibirsk, 1979, 99–104
2024
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