Zobrazeno 1 - 10 of 21 pro vyhledávání: '"A. I. Aptekarev"'
3
Weak and Strong Asymptotics of Orthogonal Polynomials with «Varying» Weight
Autor: A. I. Aptekarev
Publikováno v: Contemporary Mathematics. Fundamental Directions. 67:427-441
We consider sequences of orthogonal polynomials with varying weights, i.e., depending on the number of the polynomial. We obtain extensions of applicability classes of well-known asymptotic formulas for large numbers.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8a98121dae3b78c67f7a4f0a53992b42
https://doi.org/10.22363/2413-3639-2021-67-3-427-441
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4
Convergence of Bieberbach polynomials: Keldysh’s theorems and Mergelyan’s conjecture
Autor: A. I. Aptekarev
Publikováno v: Russian Mathematical Surveys. 76:379-387
Results due to Keldysh on the convergence of Bieberbach polynomials and the density of polynomials in spaces of analytic functions are considered. Their further development and relevance in the contemporary context of constructive complex analysis ar
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::417c26712841186b5aaa74d23f527e06
https://doi.org/10.1070/rm9991
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6
About the Works of K. I. Babenko in the Field of Mechanics and Applied Mathematics (on the 100th Anniversary of His Birth)
Autor: A. I. Aptekarev, N. G. Afendikova
Publikováno v: Mechanics of Solids. 55:919-925
The paper provides an overview of the scientific achievements of K.I. Babenko, Corresponding Member of Academy of Sciences of the USSR, in the field of mechanics and applied mathematics, including numerical studies of ideal gas flows around a body, i
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8e07860bf27a96f5a4cf22d8d7835892
https://doi.org/10.3103/s0025654420070043
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7
Detailed description of the evolution mechanism for singularities in the system of pressureless gas dynamics
Autor: A. I. Aptekarev, Yu. G. Rykov
Publikováno v: Доклады Академии наук. 484:655-658
The system of pressureless gas dynamics is a hydrodynamically justified generalization of the system consisting of the Burgers vector equation in the limit of vanishing viscosity and the mass conservation law. The latter system of equations was inten
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a1bbbb043a666909508af0e327aa1109
https://doi.org/10.31857/s0869-56524846655-658
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8
Asymptotic behavior of the spectrum of combination scattering at Stokes phonons
Autor: A. I. Aptekarev, Yu. N. Orlov, M. A. Lapik
Publikováno v: Theoretical and Mathematical Physics. 193:1480-1497
For a class of polynomial quantum Hamiltonians used in models of combination scattering in quantum optics, we obtain the asymptotic behavior of the spectrum for large occupation numbers in the secondary quantization representation. Hamiltonians of th
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::206a9b05ef5dadb0b923bc45c708ea80
https://doi.org/10.1134/s0040577917100063
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