Kayumov, Ilgiz Rifatovich

Total publications: 52 (51)
in MathSciNet: 44 (43)
in zbMATH: 35 (35)
in Web of Science: 34 (33)
in Scopus: 39 (39)
Cited articles: 38
Citations in Math-Net.Ru: 57
Citations in Web of Science: 91
Citations in Scopus: 113
Presentations: 2

Number of views:
This page:4127
Abstract pages:7898
Full texts:2091
Kayumov, Ilgiz Rifatovich
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


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

Main publications:
  1. Hedenmalm H., Kayumov I. R., “On the Makarov law of the iterated logarithm”, Proc. Amer. Math. Soc., 135 (2007), 2235–2248
  2. Kayumov I. R., “Lower estimates for integral means of univalent functions”, Arkiv for matematik, 44:1 (2006), 104–110
  3. Hinkkanen A., Kayumov I., “On Critical Values of Polynomials with Real Critical Points”, Constructive Approximation, 32:2 (2010), 385–392
  4. Каюмов И.Р., “Сходимость рядов наипростейших дробей в Lp(R)”, Матем. сб., 202:10 (2011), 87–98
  5. Maklakov D.V.; Kayumov I. R., “Exact bounds for lift-to-drag ratios of profiles in the Helmholtz–Kirchhoff flow”, European Journal of Applied Mathematics, 25:2 (2014), 231–254
List of publications on ZentralBlatt

Full list of publications:
| by years | by types | by times cited in WoS | by times cited in Scopus | scientific publications | common list |

1. D. V. Maklakov, I. R. Kayumov, “Stratified laminar flows in inclined pipes”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 11, 87–93  mathnet  crossref
2. 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  mathnet

3. I.R. Kayumov, S. Ponnusamy, “Improved version of Bohr's inequality”, C. R. Acad. Sci. Paris, Ser. I, 356 (2018), 272–277  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 6)
4. 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  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
5. A. A. Ismagilov, A. V. Kayumova, I. R. Kayumov, S. Ponnusamy, “Bohr Inequalities in Some Classes of Analytic Functions”, Complex analysis, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 153, VINITI, Moscow, 2018, 69–83  mathnet  mathscinet
6. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib

7. 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  crossref  mathscinet  isi (cited: 3)  scopus (cited: 4)
8. O. V. Ivrii, I. R. Kayumov, “Makarov's principle for the Bloch unit ball”, Sb. Math., 208:3 (2017), 399–412  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 4)  elib  elib  scopus (cited: 4)
9. I. R. Kayumov, “A note on an area-type functional of Bloch functions”, Lobachevskii Journal of Mathematics, 38:3 (2017), 466–468  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 4)
10. I.R. Kayumov, S. Ponnusamy, “Bohr Inequality for Odd Analytic Functions”, Computational Methods and Function Theory, 17:4 (2017), 679–688  crossref  mathscinet  zmath  isi (cited: 9)  scopus (cited: 12)
11. 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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

12. 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  mathnet  crossref  mathscinet  isi  isi  elib  scopus
13. 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  crossref  isi (cited: 4)  scopus (cited: 5)

14. I. R. Kayumov, D. V. Maklakov, “On minimization of cavitational resistance of hydroprofile”, Russian Math. (Iz. VUZ), 59:11 (2015), 68–73  mathnet  crossref  zmath  scopus
15. 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  mathnet  zmath  elib

16. 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  mathnet  crossref  zmath  scopus
17. I. R. Kayumov, “On the Convergence of Series in Spaces of Integrable Functions”, Math. Notes, 95:6 (2014), 780–785  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
18. 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  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)

19. 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  mathnet  crossref  mathscinet  zmath  elib  elib  scopus (cited: 1)  scopus (cited: 1)

20. 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  mathnet  crossref  mathscinet  scopus

21. 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  mathnet  crossref  mathscinet  scopus (cited: 1)
22. I. R. Kayumov, “Integral bounds for simple partial fractions”, Russian Math. (Iz. VUZ), 56:4 (2012), 27–37  mathnet  crossref  mathscinet  scopus (cited: 3)
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  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib  elib  scopus (cited: 4)

24. I. R. Kayumov, “Convergence of series of simple partial fractions in $L_p(\mathbb R)$”, Sb. Math., 202:10 (2011), 1493–1504  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 10)  elib  elib  scopus (cited: 8)

25. I. R. Kayumov, “On Holomorphic Motions of $n$-Symmetric Functions”, Math. Notes, 87:6 (2010), 828–833  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  elib  scopus (cited: 1)
26. A. Hinkkanen, I. Kayumov, “Smales problem for critical points on certain two rays”, Journal of the Australian Mathematical Society, 88:2 (2010), 183–191  crossref  mathscinet  zmath  isi  scopus (cited: 2)
27. A. Hinkkanen, I. Kayumov, “On critical values of polynomials with real critical points”, Constructive Approximation, 32:2 (2010), 385–392  crossref  mathscinet  zmath  isi (cited: 2)  elib  scopus (cited: 3)

28. I. R. Kayumov, “Boundary behavior of the power series of the enlarged Bloch class”, Siberian Math. J., 50:3 (2009), 450–455  mathnet  crossref  mathscinet  isi  elib  elib  scopus

29. I. R. Kayumov, “On an Inequality for the Universal Spectrum of Integral Means”, Math. Notes, 84:1 (2008), 137–141  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib  elib  scopus (cited: 2)

30. H. Hedenmalm, I. Kayumov, “On the Makarov law of the iterated logarithm”, Proceedings of the American Mathematical Society, 135:7 (2007), 2235–2248  crossref  mathscinet  zmath  isi (cited: 9)  scopus (cited: 9)

31. I. R. Kayumov, “Boundary Behavior of Analytic Riesz Products in the Disk”, Mat. Tr., 9:1 (2006), 34–51  mathnet  mathscinet  elib
32. I. R. Kayumov, “On the Law of the Iterated Logarithm for Conformal Mappings”, Math. Notes, 79:1 (2006), 139–142  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus (cited: 1)
33. 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  mathnet  zmath
34. I. R. Kayumov, “Lower estimates for integral means of univalent functions”, Arkiv for Matematik, 44:1 (2006), 104–110  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 5)
35. I. R. Kayumov, “Spectrum of integral means and the modified Bessel function of zero order”, St. Petersburg Math. J., 17:3 (2006), 453–463  mathnet  crossref  mathscinet  zmath  elib  elib

36. I. R. Kayumov, “On Brennan's Conjecture for a Special Class of Functions”, Math. Notes, 78:4 (2005), 498–502  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  elib  elib  scopus (cited: 5)
37. I. R. Kayumov, Yu. V. Obnosov, “Estimates for integral means of hyperbolically convex functions”, Siberian Math. J., 46:6 (2005), 1062–1068  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

38. I. R. Kayumov, “Sharp Estimates for Integral Means for Three Classes of Domains”, Math. Notes, 76:4 (2004), 472–477  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
39. F. G. Avhadiev, I. R. Kayumov, “Comparison theorems of isoperimetric type for moments of compact sets”, Collect. Math., 55:1 (2004), 1–9  mathscinet  isi (cited: 1)

40. I. R. Kayumov, “A distortion theorem for univalent gap series”, Siberian Math. J., 44:6 (2003), 997–1002  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 2)

41. I. R. Kayumov, “The law of the iterated logarithm for locally univalent functions”, Annales Academiae Scientiarum Fennicae Mathematica, 27:2 (2002), 357–364  mathscinet  zmath  isi (cited: 8)  scopus (cited: 8)
42. A. R. Kacimov, I. R. Kayumov, “Viscous flow through straight pore channels”, Journal of Porous Media, 5:3 (2002), 199–208  zmath  isi (cited: 8)  scopus (cited: 7)
43. I. Kayumov, “Lower estimate for the integral means spectrum for p = -1”, Proceedings of the American Mathematical Society, 130:4 (2002), 1005–1007  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 3)

44. I. R. Kayumov, “The integral means spectrum for lacunary series”, Annales Academiae Scientiarum Fennicae Mathematica, 26:2 (2001), 447–453  mathscinet  zmath  isi (cited: 2)  scopus (cited: 3)
45. I. R. Kayumov, “Lower estimates for the integral means spectrum”, Complex Variables Theory Appl., 44:2 (2001), 165–171  crossref  mathscinet  zmath

46. F. G. Avhadiev, I. R. Kayumov, “Admissible functionals and infinite-valent functions”, Complex Variables Theory Appl., 38:1 (1999), 35–45  crossref  mathscinet  zmath

47. I. R. Kayumov, “On an extremal problem in airfoil theory”, Russian Math. (Iz. VUZ), 42:11 (1998), 39–44  mathnet  mathscinet  zmath  elib
48. 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  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

49. I. R. Kayumov, “Generalization and application of a theorem of Radon”, Russian Math. (Iz. VUZ), 40:4 (1996), 33–36  mathnet  mathscinet  zmath
50. I. R. Kayumov, V. V. Starkov, Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 1996, no. 3, 54–61  mathnet  mathscinet  zmath
51. F. G. Avkhadiev, I. R. Kayumov, “Estimates in the Bloch class and their generalizations”, Doklady Mathematics, 54:1 (1996), 574–576  mathnet  mathscinet  zmath  isi (cited: 3)  scopus (cited: 1)  scopus (cited: 1)
52. F. G. Avhadiev, I. R. Kayumov, “Estimates for Bloch functions and their generalization”, Complex Variables Theory Appl., 29:3 (1996), 193–201  crossref  mathscinet  zmath

Presentations in Math-Net.Ru
1. 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
2. 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

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