Persons: Kayumov, Ilgiz Rifatovich

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Kayumov, Ilgiz Rifatovich

Statistics
in MathSciNet:	64 (63)
in zbMATH:	41 (40)
in Web of Science:	59 (58)
in Scopus:	60 (60)

Head Scientist Researcher

Doctor of physico-mathematical sciences (2006)

Speciality:

01.01.01 (Real analysis, complex analysis, and functional analysis)

E-mail:

, ,

Keywords:

conformal mappings, интегральные средние, boundary value problems.

UDC:

517.523, 517.538.52, 517.54, 517.444, 517.544.7, 517.538

Subject:

Boundary behaviour of conformal maps, estimates of the integral means spectrum.

Main publications:

H. Hedenmalm, I. Kayumov, “On the Makarov law of the iterated logarithm”, Proceedings of the American Mathematical Society, 135:7 (2007), 2235–2248
I. R. Kayumov, “Lower estimates for integral means of univalent functions”, Arkiv for Matematik, 44:1 (2006), 104–110
И. Р. Каюмов, “Сходимость рядов наипростейших дробей в $L_p(\mathbb R)$”, Матем. сб., 202:10 (2011), 87–98
D. V. Maklakov, I. R. Kayumov, “Exact bounds for lift-to-drag ratios of profiles in the Helmholtz–Kirchhoff flow”, European Journal of Applied Mathematics,, 25:2 (2014), 231–254
I.R. Kayumov, K.-J. Wirths, “Coefficients problems for Bloch functions””, Analysis and Mathematical Physics, 9:3 (2019), 1069–1085

https://www.mathnet.ru/eng/person18186

https://scholar.google.com/citations?user=342hVIUAAAAJ&hl=en

https://mathscinet.ams.org/mathscinet/MRAuthorID/606732

https://elibrary.ru/author_items.asp?spin=5767-2107

https://www.webofscience.com/wos/author/record/K-8539-2015

https://www.scopus.com/authid/detail.url?authorId=6507633196

https://www.researchgate.net/profile/Ilgiz_Kayumov

Full list of publications:

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List of publications:

scientific publications

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by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	I.R. Kayumov, S. Ponnusamy, “Bohr's inequalities for the analytic functions with lacunary series and harmonic functions”, Journal of Mathematical Analysis and Applications, 465:2 (2018), 857–871	69 ^[x]
2.	S.A. Alkhaleefah, I.R. Kayumov, S. Ponnusamy, “On the Bohr inequality with a fixed zero coefficient”, Proceedings of the American Mathematical Society, 147:12 (2019), 5263–5274	68 ^[x]
3.	I.R. Kayumov, S. Ponnusamy, N. Shakirov, “Bohr radius for locally univalent harmonic mappings”, Mathematische Nachrichten, 291:11-12 (2018), 1757–1768	61 ^[x]
4.	I.R. Kayumov, S. Ponnusamy, “Improved version of Bohr's inequality”, C. R. Acad. Sci. Paris, Ser. I, 356 (2018), 272–277	60 ^[x]
5.	I.R. Kayumov, S. Ponnusamy, “Bohr Inequality for Odd Analytic Functions”, Computational Methods and Function Theory, 17:4 (2017), 679–688	59 ^[x]
6.	I.R. Kayumov, S. Ponnusamy, “On a powered Bohr inequality”, Annales Academiae Scientiarum Fennicae Mathematica, 44:1 (2019), 301–310	50 ^[x]
7.	I. R. Kayumov, “On Brennan's Conjecture for a Special Class of Functions”, Math. Notes, 78:4 (2005), 498–502
8.	I. R. Kayumov, D, M. Khammatova, S. Ponnusamy, “Bohr-Rogosinski phenomenon for analytic functions and Cesaro operators”, Journal of Mathematical Analysis and Applications, 486:2 (2021), 124824 , 17 pp.	31 ^[x]
9.	A. Ismagilov, I.R. Kayumov, S. Ponnusamy, “Sharp Bohr type inequality”, Journal of Mathematical Analysis and Applications, 489 (2020), 124147	31 ^[x]
10.	I. R. Kayumov, D, M. Khammatova, S. Ponnusamy, “On the Bohr inequality for the Cesaro operator”, Comptes Rendus. Mathématique, 358:5 (2020), 615-620	28 ^[x]
11.	I. R. Kayumov, “Convergence of series of simple partial fractions in $L_p(\mathbb R)$”, Sb. Math., 202:10 (2011), 1493–1504
12.	I. R. Kayumov, D, M. Khammatova, S. Ponnusamy, “The Bohr Inequality for the Generalized Cesaro Averaging Operators”, Mediterranean Journal of Mathematics, 19:1 (2022), 19 , 16 pp.	13 ^[x]
13.	H. Hedenmalm, I. Kayumov, “On the Makarov law of the iterated logarithm”, Proceedings of the American Mathematical Society, 135:7 (2007), 2235–2248	13 ^[x]
14.	A. Hinkkanen, I. Kayumov, “On critical values of polynomials with real critical points”, Constructive Approximation, 32:2 (2010), 385–392	10 ^[x]
15.	A. R. Kacimov, D. V. Maklakov, I. R. Kayumov, A. Al-Futaisi, “Free Surface Flow in a Microfluidic Corner and in an Unconfined Aquifer with Accretion: The Signorini and Saint-Venant Analytical Techniques Revisited”, Transport in Porous Media, 116:1 (2017), 115–142	9 ^[x]
16.	O. V. Ivrii, I. R. Kayumov, “Makarov's principle for the Bloch unit ball”, Sb. Math., 208:3 (2017), 399–412
17.	A. R. Kacimov, I. R. Kayumov, A. Al-Maktoumi, “Rainfall induced groundwater mound in wedge-shaped promontories: The Strack-Chernyshov model revisited”, Advances in Water Resources, 97 (2016), 110–119	8 ^[x]
18.	I.R. Kayumov, S. Ponnusamy, A.S. Kaliraj, “Riesz-Fejer Inequalities for Harmonic Functions”, Potential Analysis, 52:1 (2020), 105–113	7 ^[x]
19.	I.R. Kayumov, K.-J. Wirths, “Coefficients problems for Bloch functions”, Analysis and Mathematical Physics, 9:3 (2019), 1069–1085	7 ^[x]
20.	D.V. Maklakov, I.R.Kayumov, R.R.Kamaletdinov, “Stratified laminar flows in a circular pipe: New analytical solutions in terms of elementary functions”, Applied Mathematical Modelling, 59 (2018), 147-163	7 ^[x]
21.	A. A. Ismagilov, A. V. Kayumova, I. R. Kayumov, S. Ponnusamy, “Bohr Inequalities in Some Classes of Analytic Functions”, J. Math. Sci. (N. Y.), 252:3 (2021), 360–373
22.	A. Kayumova, I.R. Kayumov, S. Ponnusamy, “Bohr's inequality for harmonic mappings and beyond”, Communications in Computer and Information Science, 834 (2018), 245–256	7 ^[x]
23.	I. R. Kayumov, “A Necessary Condition for the Convergence of Simple Partial Fractions in $L_p(\mathbb R)$”, Math. Notes, 92:1 (2012), 140–143
24.	F. G. Avkhadiev, I. R. Kayumov, S. R. Nasyrov, “Extremal problems in geometric function theory”, Russian Math. Surveys, 78:2 (2023), 211–271
25.	I. R. Kayumov, “Lower estimates for integral means of univalent functions”, Arkiv for Matematik, 44:1 (2006), 104–110	6 ^[x]
26.	A. D. Baranov, I. R. Kayumov, “Estimates for the integrals of derivatives of rational functions in multiply connected domains in the plane”, Izv. Math., 86:5 (2022), 839–851
27.	I.R. Kayumov, K.-J. Wirths, “Analogues to Landau's Inequality for Nonvanishing Bounded Functions and for Bloch Functions”, Bulletin of the Malaysian Mathematical Sciences Society, 42:4 (2019), 1737–1744	5 ^[x]
28.	A. Hinkkanen, I.R. Kayumov, D.M. Khammatova, “Dual Smale's mean value conjecture”, Proceedings of the American Mathematical Society, 147:12 (2019), 5227–5237	5 ^[x]
29.	I. R. Kayumov, “Integral bounds for simple partial fractions”, Russian Math. (Iz. VUZ), 56:4 (2012), 27–37
30.	I. R. Kayumov, “Lower estimates for the integral means spectrum”, Complex Variables Theory Appl., 44:2 (2001), 165–171	5 ^[x]
31.	I.R. Kayumov, K.-J. Wirths, “Coefficient Inequalities for Bloch Functions”, Lobachevskii Journal of Mathematics, 40:9 (2019), 1319–1323	4 ^[x]
32.	A. Hinkkanen, I. Kayumov, “Smales problem for critical points on certain two rays”, Journal of the Australian Mathematical Society, 88:2 (2010), 183–191	4 ^[x]
33.	I. R. Kayumov, “On an Inequality for the Universal Spectrum of Integral Means”, Math. Notes, 84:1 (2008), 137–141
34.	I. Kayumov, “Lower estimate for the integral means spectrum for p = -1”, Proceedings of the American Mathematical Society, 130:4 (2002), 1005–1007	4 ^[x]
35.	F. G. Avhadiev, I. R. Kayumov, “Estimates for Bloch functions and their generalization”, Complex Variables Theory Appl., 29:3 (1996), 193–201	4 ^[x]
36.	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 , 10 pp.	3 ^[x]
37.	D. V. Maklakov, I. R. Kayumov, “Exact bounds for lift-to-drag ratios of profiles in the Helmholtz–Kirchhoff flow”, European Journal of Applied Mathematics,, 25:2 (2014), 231–254	3 ^[x]
38.	I. R. Kayumov, “Boundary Behavior of Analytic Riesz Products in the Disk”, Mat. Tr., 9:1 (2006), 34–51
39.	I. R. Kayumov, “On the Law of the Iterated Logarithm for Conformal Mappings”, Math. Notes, 79:1 (2006), 139–142
40.	I. R. Kayumov, “A distortion theorem for univalent gap series”, Siberian Math. J., 44:6 (2003), 997–1002
41.	F. G. Avhadiev, I. R. Kayumov, “Admissible functionals and infinite-valent functions”, Complex Variables Theory Appl., 38:1 (1999), 35–45	3 ^[x]
42.	F. G. Avkhadiev, I. R. Kayumov, “Estimates in the Bloch class and their generalizations”, Doklady Mathematics, 54:1 (1996), 574–576
43.	A. D. Baranov, I. R. Kayumov, “Estimates for integrals of derivatives of $n$-valent functions and geometric properties of domains”, Sb. Math., 214:12 (2023), 1674–1693
44.	A. D. Baranov, I. R. Kayumov, “Integral estimates of derivatives of rational functions in Hölder domains”, Dokl. Math., 106:3 (2022), 416–422
45.	I.R. Kayumov, K.-J. Wirths, “On the sum of squares of the coefficients of Bloch functions”, Monatshefte fur Mathematik, 190:1 (2019), 123–135	2 ^[x]
46.	I.R. Kayumov, S. Ponnusamy, L.A. Xuan, “Rotations of convex harmonic univalent mappings”, Bulletin des Sciences Mathematiques, 155 (2019), 1–9	2 ^[x]
47.	I. R. Kayumov, “A note on an area-type functional of Bloch functions”, Lobachevskii Journal of Mathematics, 38:3 (2017), 466–468	2 ^[x]
48.	I. R. Kayumov, A. N. Chuprunov, “The probability of successful allocation of particles in cells (the general case)”, J. Math. Sci., 209:1 (2015), 88–95
49.	I. R. Kayumov, “On Holomorphic Motions of $n$-Symmetric Functions”, Math. Notes, 87:6 (2010), 828–833
50.	I. R. Kayumov, “Spectrum of integral means and the modified Bessel function of zero order”, St. Petersburg Math. J., 17:3 (2006), 453–463
51.	A. D. Baranov, I. R. Kayumov, “Dolzhenko's inequality for $n$-valent functions: from smooth to fractal boundaries”, Russian Math. Surveys, 77:6 (2022), 1152–1154
52.	I. R. Kayumov, K.-J. Wirths, “Inequalities of Carlson Type for $\alpha$ – Bloch Functions”, Mediterranean Journal of Mathematics, 17:3 (2020), 1-9	1 ^[x]
53.	D. V. Maklakov, I. R. Kayumov, “Stratified laminar flows in inclined pipes”, Russian Math. (Iz. VUZ), 63:11 (2019), 77–82
54.	I.R. Kayumov, S. Ponnusamy, L.A. Xuan, “On the Analytic Part of Univalent Harmonic Mappings”, Complex Analysis and Operator Theory, 12:5 (2018), 1291–1301	1 ^[x]
55.	I. R. Kayumov, D. V. Maklakov, F. D. Kayumov, “Estimates of a spectrum of the integral means for lacunary series”, Russian Math. (Iz. VUZ), 58:10 (2014), 67–72
56.	D. V. Maklakov, I. R. Kayumov, “One nonlinear variational problem of the theory of cavitating profiles”, Russian Math. (Iz. VUZ), 56:12 (2012), 76–81
57.	I. R. Kayumov, “Boundary behavior of the power series of the enlarged Bloch class”, Siberian Math. J., 50:3 (2009), 450–455
58.	I. R. Kayumov, “The integral means spectrum and the law of the iterated logarithm for conformal mappings”, Physics and mathematics, v. 148, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, no. 2, Kazan University, Kazan, 2006, 85–96
59.	I. R. Kayumov, “Sharp Estimates for Integral Means for Three Classes of Domains”, Math. Notes, 76:4 (2004), 472–477
60.	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
61.	A.D. Baranov, I.R. Kayumov, D.M. Khammatova, R.Sh. Khasyanov, “Weissler and Bernoulli type inequalities in Bergman spaces”, Archiv der Mathematik, 121 (2023), 155-169
62.	I. R. Kayumov, D, M. Khammatova, K.-J. Wirths, “On Landau’s Type Estimates for Coefficients of Univalent Functions”, Computational Methods and Function Theory, 20 (2020), 511-521
63.	I. R. Kayumov, “Comparison theorems for certain classes of univalent functions”, BULLETIN of the L.N. Gumilyov Eurasian National University. MATHEMATICS.COMPUTER SCIENCE. MECHANICS Series, 128:3 (2019), 46–52
64.	I. Kayumov, S. Ponnusamy, Bohr–Rogosinski radius for analytic functions, 2017 , 10 pp., arXiv: https://arxiv.org/abs/1708.05585
65.	A.A.Afonina, I.R. Kayumov, A.N. Chuprunov, “Asymptotics of conditional probabilities of succesful allocation of random number of particles into cells”, DISCRETE MATHEMATICS AND APPLICATIONS, 2017, no. 5, 277-286
66.	A. I. Afonina, I. R. Kayumov, A. N. Chuprunov, “On the probability of the event: in $n$ generalized allocation schemes the volume of each cell does not exceed $r$”, Ufa Math. Journal, 8:2 (2016), 14–21
67.	I. R. Kayumov, D. V. Maklakov, “On minimization of cavitational resistance of hydroprofile”, Russian Math. (Iz. VUZ), 59:11 (2015), 68–73
68.	I. R. Kayumov, “A survey on the integral means spectrum for conformal mappings”, Physics and mathematics, v. 157, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, no. 2, Kazan University, Kazan, 2015, 104–115
69.	I. R. Kayumov, “On the Convergence of Series in Spaces of Integrable Functions”, Math. Notes, 95:6 (2014), 780–785
70.	I. R. Kayumov, A. V. Kayumova, “Convergence of the imaginary parts of simplest fractions in $L_p(\mathbb R)$ for $p<1$”, J. Math. Sci. (N. Y.), 202:4 (2014), 553–559
71.	I. R. Kayumov, Yu. V. Obnosov, “Estimates for integral means of hyperbolically convex functions”, Siberian Math. J., 46:6 (2005), 1062–1068
72.	F. G. Avhadiev, I. R. Kayumov, “Comparison theorems of isoperimetric type for moments of compact sets”, Collect. Math., 55:1 (2004), 1–9
73.	I. R. Kayumov, “The law of the iterated logarithm for locally univalent functions”, Annales Academiae Scientiarum Fennicae Mathematica, 27:2 (2002), 357–364
74.	A. R. Kacimov, I. R. Kayumov, “Viscous flow through straight pore channels”, Journal of Porous Media, 5:3 (2002), 199–208
75.	I. R. Kayumov, “The integral means spectrum for lacunary series”, Annales Academiae Scientiarum Fennicae Mathematica, 26:2 (2001), 447–453
76.	I. R. Kayumov, “On an extremal problem in airfoil theory”, Russian Math. (Iz. VUZ), 42:11 (1998), 39–44
77.	I. R. Kayumov, “Generalization and application of a theorem of Radon”, Russian Math. (Iz. VUZ), 40:4 (1996), 33–36
78.	I. R. Kayumov, V. V. Starkov, Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 1996, no. 3, 54–61
79.	A. D. Baranov, R. Zarouf, I. R. Kayumov, “On an inverse problem of approximation theory in the Bloch space”, Russian Math. Surveys, 80:1 (2025), 140–143
80.	D. V. Maklakov, S. E. Gazizova, I. R. Kayumov, “Optimal velocity distributions in the design of supercavitating hydrofoils”, Russian Math. (Iz. VUZ), 67:8 (2023), 49–54
81.	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

Presentations in Math-Net.Ru

1.	О некоторых экстремальных свойствах функций $z^n$ в пространстве Блоха I. R. Kayumov Seminar on Operator Theory and Function Theory February 26, 2024 17:30
2.	On extremal problems related to the Littlewood constant and a problem posed by E.P. Dolzhenko I. R. Kayumov International Conference “Nonlinear Approximation and Discretization” dedicated to the 70-th anniversary of Professor V.N. Temlyakov November 1, 2023 15:00
3.	On Smale's conjecture for critical values of polynomials I. R. Kayumov International Conference "Theory of Functions, Operator Theory and Quantum Information Theory" June 1, 2023 17:00
4.	On an estimate of integrals for N-sheeted analytic functions I. R. Kayumov International Conference "Functions Theory, Operators Theory and Quantum Information Theory" October 20, 2022 14:30
5.	Coefficient problems for bounded analytic functions and Bohr type inequalities I. R. Kayumov Virtual Workshop “Complex Analysis and Geometry” November 17, 2021 15:00
6.	Integral estimates of derivatives of rational functions in domains bounded by rectifiable curves I. R. Kayumov International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin October 12, 2021 11:00
7.	Оценки интегралов от производных рациональных функций в многосвязных областях на плоскости A. D. Baranov, I. R. Kayumov Function Theory, Operator Theory and Quantum Information Theory October 7, 2021 15:45
8.	Оценки $l_p$-норм коэффициентов подчиненных аналитических в круге функций I. R. Kayumov Function Theory, Operator Theory and Quantum Information Theory October 4, 2021 10:00
9.	О кавитирующих гидропрофилях оптимальной формы I. R. Kayumov, D. V. Maklakov, S. E. Gazizova All-Russian conference "Modern Problems of Continuum Mechanics" devoted to 110 anniversary of L. I. Sedov November 13, 2017 17:05
10.	Метрические свойства гармонической меры на жордановых кривых I. R. Kayumov International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii May 28, 2015 14:30

Organisations