holomorphic function, sequence of zeros, stability of sequence of zeros, entire function, meromorphic function, subharmonic function, completeness of system of functions, convex set, geometry on the plane
Subject:
Complex Analysis, Potential Analysis, Real Analysis, Functional Analusis
Biography
Bashkir State University
Main publications:
B. N. Khabibullin, F. B. Khabibullin, L. Yu. Cherednikova, “Zero subsequences for classes of holomorphic functions: stability and the entropy of arcwise connectedness. I–II”, Algebra i Analiz, 20:1 (2008), 146–236; St. Petersburg Math. J., 20:1 (2009), 101–162
F. B. Khabibullin, “Sequences of zeroes of holomorphic functions in weight spaces in the unit disk”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 3, 102–105; Russian Math. (Iz. VUZ), 54:3 (2010), 88–90
F. B. Khabibullin, “Stability of sequences of zeros for classes of holomorphic functions of moderate growth in the unit disk”, Ufimsk. Mat. Zh., 3:3 (2011), 152–163
B. N. Khabibullin, G. R. Talipova, F. B. Khabibullin, “Zero subsequences for Bernsteins spaces and the completeness of exponential systems in spaces of functions on an interval”, Algebra i Analiz, 26:2 (2014), 185–215; St. Petersburg Math. J., 26:2 (2015), 319–340
Bulat N. Khabibullin, Farkhat B. Khabibullin, “Zeros of holomorphic functions in the unit disk and ρ-trigonometrically convex functions”, Analysis and Mathematical Physics, 9:3 (2019), 1087–1098
B. N. Khabibullin, F. B. Khabibullin, “On the Distribution of Zero Sets of Holomorphic Functions. III. Inversion Theorems”, Funktsional. Anal. i Prilozhen., 53:2 (2019), 42–58
2.
B. N. Khabibullin, F. B. Khabibullin, L. Yu. Cherednikova, “Zero subsequences for classes of holomorphic functions: stability and the entropy of arcwise connectedness. I”, St. Petersburg Math. J., 20:1 (2009), 101–129
3.
B. N. Khabibullin, F. B. Khabibullin, L. Yu. Cherednikova, “Zero subsequences for classes of holomorphic functions: stability and the entropy of arcwise connectedness. II”, St. Petersburg Math. J., 20:1 (2009), 131–162
4.
B. N. Khabibullin, G. R. Talipova, F. B. Khabibullin, “Zero subsequences for Bernstein's spaces and the completeness of exponential systems in spaces of functions on an interval”, St. Petersburg Math. J., 26:2 (2015), 319–340
Bulat N. Khabibullin, Farkhat B. Khabibullin, “Zeros of holomorphic functions in the unit disk and ρ-trigonometrically convex functions”, Analysis and Mathematical Physics, 9:3 (2019), 1087–1098
B. N. Khabibullin, F. B. Khabibullin, “Zeros of Holomorphic Functions in the Unit Ball and Subspherical Functions”, Lobachevskii Journal of Mathematics, 40:5, c Pleiades Publishing, Ltd. (2019), 648–659
B. N. Khabibullin, F. B. Khabibullin, “On non-uniqueness sets for spaces of holomorphic functions”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, no. 4(35), 108–115
9.
F. B. Khabibullin, “Sequences of zeroes of holomorphic functions in weight spaces in the unit disk”, Russian Math. (Iz. VUZ), 54:3 (2010), 88–90
10.
B. N. Khabibullin, F. B. Khabibullin, Necessary and sufficient conditions for zero subsets of holomorphic functions, 2020 , 12 pp., arXiv: 2012.12660v1
11.
B. N. Khabibullin, E. B. Menshikova, F. B. Khabibullin, “On the Distribution of Zeros of Holomorphic Functions”, in Russian, International Conference “Complex Analysis, Mathematical Physics and Nonlinear Equations” Book of Abstracts (Bannoe–Yakty-Kul Lake, Russia, March 18–22, 2019), eds. R. N. Garifullin, UFRC RAS, Bashkir State Univ. etc., Ufa, 2019, 79–80http://matem.anrb.ru/conf/sbornik19.pdf
12.
Bulat N. Khabibullin, Farkhat B. Khabibullin, Zeros of holomorphic functions in the unit disk and $\rho$-trigonometrically convex functions, 2018 , 11 pp., submit to Analysis and Mathematical Physics, arXiv: 1811.10390
13.
B. N. Khabibullin, F. B. Khabibullin, Zero sets of holomorphic functions in the unit ball: non-radial growth characteristics, 2018 , 14 pp., in Russian, arXiv: 1811.10391
14.
B. N. Khabibullin, F. B. Khabibullin, On the Distribution of Zero Sets of Holomorphic Functions. III. Conversion Theorems, 2018 , 14 pp., submit to Funktsional. Anal. i Prilozhen. (Funct. Anal. Appl.); in Russian, arXiv: 1811.10393v1
15.
B. N. Khabibullin, A. P. Rosit, F. B. Khabibullin, “Order version of the Hahn-Banach theorem, and envelopes. 1. Homogeneous functions”, Math Forum (Results of Science. South of Russia). T. 10. No. 1. Research on mathematical analysis, differential equations and mathematical modeling (12-18 July 2015 Tsey–Vladikavkaz), Math Forum (Results of Science. South of Russia), 10, UMI VSC RAS, Vladikavkaz, 2016, 226–243Full Text in Russian
16.
B. N. Khabibullin, F. B. B. N. Khabibullin, “Subharmonic Versions of Valiron’s Theorem on Entire Functions”, Reports of Bashkir State University, 1:1 (2016), 22–26http://dokbsu.bashedu.ru/, arXiv: 1610.03433
17.
B. N. Khabibullin, F. B. Khabibullin, On uniqueness sets for spaces of holomorphic functions, 2016 , 7 pp., in Russian, arXiv: 1610.03392v1
18.
B. N. Khabibullin, F. B. Khabibullin, “Order versions of the Hahn–Banach theorems: construction of envelopes”, Order analysis and related questions of mathematical modeling: Book of Abstracts of the XII International Scientific Conference (Tsey–Vladikavkaz, 12-18 July 2015), Scientific Center RAS UMI, SFU, Ministry of Education and Science of the Republic of North Ossetia-Alania, Vladikavkaz, 2015, 114–116Full Text in English
19.
B. N. Khabibullin, G. R. Talipova, F. B. Khabibullin, “Zero (sub-)sequences of entire functions”, Presentation_english, Proceedings of the Mathematical Center named N. I. Lobachevskii, 51, "Theory of Functions, its Applications and Adjacent Problems, materials Twelfth International Summer Kazan scientific school-conference (Kazan, 27 June - 4 July 2015), Proceedings of the Mathematical Center named N. I. Lobachevskii, 51, Kazan mathematical society, Kazan, 2015, 519–525Full Text in English
20.
G. R. Talipova, B. N. Khabibullin, F. B. Khabibullin, “O suzhenii potentsialov Iensena na prokolotuyu veschestvennuyu os”, Mezhdunarodnaya shkola-konferentsiya «Fundamentalnaya matematika i ee prilozheniya v estestvoznanii». Materialy. Tom 1. Matematika. (oktyabr,2012, Ufa), 1, eds. B. N. Khabibullin, RITs BashGU, Ufa, 2012, 147–153Full Text in Russian
21.
F. B. Khabibullin, “Stability of sequences of zeros for classes of holomorphic functions of moderate growth in the unit disk”, Ufimsk. Mat. Zh., 3:3 (2011), 152–163
22.
Khabibullin B. N., Kudasheva E. G., Khabibullin F. B., Cherednikova L. Yu, “Distribution of zeros of holomorphic functions with restrictions on growth in the unit disk”, VI Ufa international conference "Complex analysis and differential equations dedicated to the 70th anniversary of corresponding member Q. Of RAS V. V. Napalkov. 2012. The book of abstracts (Ufa, 2011), Institute of mathematics with computing center, Ufa, 2012, 151–153Full Text in Russian
23.
B. N. Khabibullin, F. B. Khabibullin, “Zero subsets for spaces of function and the entropy of arcwise connectedness”, Proceedings of the international workshop "Geometric analysis and its applications (Volgograd, May 24–30, 2004), eds. A.G. Losev etc., VSU, Volgograd, 2004, 193–195Full Text in English
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