2022
2021
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Kayumov I.R, Khammatova D.M, Ponnusamy S., Bohr?Rogosinski phenomenon for analytic functions and Ces?ro operators//Journal of Mathematical Analysis and Applications. - 2021. - Vol.496, Is.2. - Art. № 124824.
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Ismagilov A.A, Kayumova A.V, Kayumov I.R, Bohr Inequalities in Some Classes of Analytic Functions//Journal of Mathematical Sciences (United States). - 2021. - Vol.252, Is.3. - P.360-373.
2020
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Kayumov I.R, Wirths K.-J., Inequalities of Carlson Type for ? -Bloch Functions//Mediterranean Journal of Mathematics. - 2020. - Vol.17, Is.3. - Art. № 83.
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Ismagilov A, Kayumov I.R, Ponnusamy S., Sharp Bohr type inequality//Journal of Mathematical Analysis and Applications. - 2020. - Vol.489, Is.1. - Art. № 124147.
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Alkhaleefah S.A, Kayumov I.R, Ponnusamy S., Bohr?Rogosinski Inequalities for Bounded Analytic Functions//Lobachevskii Journal of Mathematics. - 2020. - Vol.41, Is.11. - P.2110-2119.
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Kayumov I.R, Khammatova D.M, Ponnusamy S., On the Bohr inequality for the Ces?ro operator//Comptes Rendus Mathematique. - 2020. - Vol.358, Is.5. - P.615-620.
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Kayumov I.R, Khammatova D.M, Wirths K.-J., On Landau?s Type Estimates for Coefficients of Univalent Functions//Computational Methods and Function Theory. - 2020. - Vol., Is.. - .
2019
- Kayumov Ilgiz R., Ponnusamy Saminathan, ON A POWERED BOHR INEQUALITY//ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA. - 2019. - Vol.44, Is.. - P.301-310.
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Kayumov I.R, Wirths K.-J., Analogues to Landau?s Inequality for Nonvanishing Bounded Functions and for Bloch Functions//Bulletin of the Malaysian Mathematical Sciences Society. - 2019. - Vol.42, Is.4. - P.1737-1744.
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Kayumov I.R, Wirths K.-J., Coefficients problems for Bloch functions//Analysis and Mathematical Physics. - 2019. - Vol., Is.. - .
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Kayumov I.R, Ponnusamy S, Xuan L.A., Rotations of convex harmonic univalent mappings//Bulletin des Sciences Mathematiques. - 2019. - Vol.155, Is.. - P.1-9.
- In this paper, we introduce the study of the Bohr phenomenon for a quasi-subordination family of functions, and establish the classical Bohr's inequality for the class of quasisubordinate functions. As a consequence, we improve and obtain the exact version of the classical Bohr's inequality for bounded analytic functions and also for $K$-quasiconformal harmonic mappings by replacing the constant term by the absolute value of the analytic part of the given function. We also obtain the Bohr radius for the subordination family of odd analytic functions.
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Hinkkanen A, Kayumov I.R, Khammatova D.M., Dual Smale's mean value conjecture//Proceedings of the American Mathematical Society. - 2019. - Vol.147, Is.12. - P.5227-5237.
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Alkhaleefah S.A, Kayumov I.R, Ponnusamy S., On the Bohr inequality with a fixed zero coefficient//Proceedings of the American Mathematical Society. - 2019. - Vol.147, Is.12. - P.5263-5274.
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Kayumov I.R, Wirths K.-J., On the sum of squares of the coefficients of Bloch functions//Monatshefte fur Mathematik. - 2019. - Vol., Is.. - .
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Maklakov D.V, Kayumov I.R., Stratified Laminar Flows in Inclined Pipes//Russian Mathematics. - 2019. - Vol.63, Is.11. - P.77-82.
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Kayumov I.R, Wirths K.-J., Coefficient Inequalities for Bloch Functions//Lobachevskii Journal of Mathematics. - 2019. - Vol.40, Is.9. - P.1319-1323.
2018
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Kayumov I.R, Ponnusamy S., Improved version of Bohr's inequality//Comptes Rendus Mathematique. - 2018. - Vol.356, Is.3. - P.272-277.
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Kayumov I.R, Ponnusamy S, Shakirov N., Bohr radius for locally univalent harmonic mappings//Mathematische Nachrichten. - 2018. - Vol.291, Is.11-12. -P.1757-1768 .
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Kayumov I.R, Ponnusamy S, Xuan L.A., On the Analytic Part of Univalent Harmonic Mappings//Complex Analysis and Operator Theory. - 2018. - Vol., Is.. - P.1-11.
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Kayumov I.R, Ponnusamy S., Bohr's inequalities for the analytic functions with lacunary series and harmonic functions//Journal of Mathematical Analysis and Applications. - 2018. - Vol.465, Is.2. - P.857-871.
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Kayumova A, Kayumov I.R, Ponnusamy S., Bohr's inequality for harmonic mappings and beyond//Communications in Computer and Information Science. - 2018. - Vol.834, Is.. - P.245-256.
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Farit Gabidinovich Avkhadiev (on his 70th birthday) / L.A. Aksent'ev, A.I. Aptekarev, A.M. Bikchentaev, V.V. Goryainov [et.] // RUSSIAN MATHEMATICAL SURVEYS. - 2018. - V. 53, no 1. - P. 181--184.
F_rm_73_181.pdf -
Maklakov D.V, Kayumov I.R, Kamaletdinov R.R., Stratified laminar flows in a circular pipe: New analytical solutions in terms of elementary functions//Applied Mathematical Modelling. - 2018. - Vol.59, Is.. - P.147-163.
2017
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Kacimov A.R, Maklakov D.V, Kayumov I.R, 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. - 2017. - Vol. 1, - P. 115-142.
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Kayumov I.R., A note on an area-type functional of Bloch functions//Lobachevskii Journal of Mathematics. - 2017. - Vol.38, Is.3. - P.466-468.
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Afonina A.I, Kayumov I.R, Chuprunov A.N., Asymptotics of conditional probabilities of succesful allocation of random number of particles into cells//Discrete Mathematics and Applications. - 2017. - Vol.27, Is.5. - P.277-286.
- Kayumov Ilgiz R., Ponnusamy Saminathan, Bohr Inequality for Odd Analytic Functions//COMPUTATIONAL METHODS AND FUNCTION THEORY. - 2017. - Vol.17, Is.4. - P.679-688.
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Ivrii O.V, Kayumov I.R., Makarov's principle for the Bloch unit ball//Sbornik Mathematics. - 2017. - Vol.208, Is.3. - P.399-412.
2016
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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
Volume 97, November 2016, Pages 110–119
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А. И. Афонина, И. Р. Каюмов, А. Н. Чупрунов, “Асимптотика условных вероятностей успешного размещения случайного числа частиц по ячейкам”, Дискрет. матем., 28:3 (2016), 14–25
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Kacimov, A.R., Maklakov, D.V., Kayumov, I.R. et al. Transp Porous Med (2016). doi:10.1007/s11242-016-0767-y
2015
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Каюмов И.Р. Обзор по оценкам спектра интегральных средних конформных отображений // Учен. зап. Казан. ун-та. Сер. Физ.-матем. науки. – 2015. – Т. 157, кн. 2. – С. 104–115
157_2_phys_mat_9.pdf -
I.R. Kayumov, A.N. Cuprunov, The Probability of Successful Allocation of Particles in Cells (The General Case) // Journal of Mathematical Sciences (2015), Volume 209, Issue 1, pp 88-95
2014
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D. V. MAKLAKOV and I. R. KAYUMOV, Exact bounds for lift-to-drag ratios of proles in the
Helmholtz–Kirchhoff flow //
European Journal of Applied Mathematics / Volume 25 / Issue 02 / April 2014, pp 231 - 254
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I. R. Kayumov, A. V. Kayumova, Convergence of the Imaginary Parts of Simplest Fractions in L p ( ℝ ) for p < 1 // Journal of Mathematical Sciences, V. 202, Issue 4, pp 553-559
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ОЦЕНКИ СПЕКТРА ИНТЕГРАЛЬНЫХ СРЕДНИХ
ДЛЯ ЛАКУНАРНЫХ РЯДОВ // Известия вузов. Математика 2014, No 10, c. 79–85
2013
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И. Р. Каюмов, А. Н. Чупрунов, О вероятности успешного размещения частиц по ячейкам (общий случай), Фундаментальная и прикладная математика, 18:5 (2013), 119-128
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И.Р. Каюмов, А.В. Каюмова, Сходимость мнимых частей наипростейших дробей в Lp(R) при p<1 // Записки научных семинаров ПОМИ. 416 (2013) 108-116
2005
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1996
| Work address: | 35 Kremlevskaya Str., Kazan, Building №14 (unit # 2) |
| Office number: | 505 |
| Phone: | 292-72-79 |
| E-mail: | Ilgis.Kayumov@kpfu.ru |
| Google scholar: | https://scholar.google.ru/citations?user=342hVIUAAAAJ&hl=ru |
| http://www.mathnet.ru/: | http://www.mathnet.ru/php/person.phtml?option_lang=rus&personid=18186 |
| Research Gate: | https://www.researchgate.net/profile/Ilgiz_Kayumov |
| Experience: |
| Scientific and pedagogical experience: |
| General experience: |
| Experience in KFU: |
