Zobrazeno 1 - 10
of 35
pro vyhledávání: '"A. K. Tsikh"'
Publikováno v:
Doklady Mathematics. 102:279-282
Let Δn be the discriminant of a general polynomial of degree n and $$\mathcal{N}$$ be the Newton polytope of Δn. We give a geometric proof of the fact that the truncations of Δn to faces of $$\mathcal{N}$$ are equal to products of discriminants of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2992a0996fbe8ff6ca11eb4592b9b627
https://doi.org/10.1134/s1064562420040134
https://doi.org/10.1134/s1064562420040134
Autor:
A. N. Cherepanskiy, A. K. Tsikh
Publikováno v:
Integral Transforms and Special Functions. 31:838-855
Description of convergence domains for multiple power series is a quite difficult problem. In 1889 J.Horn showed that the case of hypergeomteric series is more favourable. He found a parameterizati...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4425dd8f9479ca0608d6ea388ad8ad20
https://doi.org/10.1080/10652469.2020.1756794
https://doi.org/10.1080/10652469.2020.1756794
Publikováno v:
Journal of Siberian Federal University. Mathematics & Physics. :509-529
We prove two theorems on the domains of convergence for A-hypergeometric series and for associated Mellin-Barnes type integrals. The exact convergence domains are described in terms of amoebas and coamoebas of the corresponding principal A-determinan
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e5f7aa72d4d6b1f4f0f8ad126bc8ebf7
https://doi.org/10.17516/1997-1397-2019-12-4-509-529
https://doi.org/10.17516/1997-1397-2019-12-4-509-529
Autor:
Armen Sergeev, Alexander Ivanovich Aptekarev, N. G. Kruzhilin, P. V. Paramonov, Vladimir Antonovich Zorich, A. B. Sukhov, Sergey Pinchuk, Azimbay Sadullaev, Sergey Pavlovich Suetin, C. Yu. Orevkov, A. K. Tsikh, V. K. Beloshapka, Vladimir Nikolaevich Dubinin, K. Yu. Fedorovskiy, Viktor Ivanovich Buslaev, S. Yu. Nemirovski, V. V. Goryainov
Publikováno v:
Russian Mathematical Surveys. 73:1137-1144
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::686d60f546cce7d4bab67d2853de1e9b
https://doi.org/10.1070/rm9864
https://doi.org/10.1070/rm9864
Autor:
A. K. Tsikh
The technique of residues is known for its many applications in different branches of mathematics. Tsikh's book presents a systematic account of residues associated with holomorphic mappings and indicates many applications. The book begins with preli
Autor:
A. K. Tsikh, E. N. Mikhalkin
Publikováno v:
Sbornik: Mathematics. 206:282-310
We consider an algebraic equation with variable complex coefficients. For the reduced discriminant set of such an equation we obtain parametrizations of the singular strata corresponding to the existence of roots of multiplicity at least j. These par
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::939a0cc7bdcca35089a832e92071aa6d
https://doi.org/10.1070/sm2015v206n02abeh004458
https://doi.org/10.1070/sm2015v206n02abeh004458
Autor:
L. A. Aĭzenberg, A. B. Aleksandrov, P. V. Degtyar′, Ya. Yu. Gaĭdis, S. G. Gindikin, V. A. Kakichev, V. P. Khavin, G. M. Khenkin, B. I. Odvirko-Budko, A. L. Onishchik, S. I. Pinchuk, A. Yu. Pushnikov, V. V. Rabotin, L. I. Ronkin, A. Sadullaev, N. N. Tarkhanov, A. K. Tsikh, A. P. Yuzhakov
The papers in this volume range over a variety of topics in complex analysis, including holomorphic and entire functions, integral representations, the local theory of residues, complex manifolds, singularities, and CR structures.
Publikováno v:
Mathematical Physics, Analysis and Geometry. 16:89-108
The amoeba of a complex hypersurface is its image under a logarithmic projection. A number of properties of algebraic hypersurface amoebas are carried over to the case of transcendental hypersurfaces. We demonstrate the potential that amoebas can bri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19c1ea915225763816bbde50ea1bbc99
https://doi.org/10.1007/s11040-012-9122-x
https://doi.org/10.1007/s11040-012-9122-x
Publikováno v:
Sbornik: Mathematics. 199:1505-1521
A generalization to several variables of the classical Poincare theorem on the asymptotic behaviour of solutions of a linear difference equations is presented.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::714223a762e05083b973e6e086e879ba
https://doi.org/10.1070/sm2008v199n10abeh003970
https://doi.org/10.1070/sm2008v199n10abeh003970
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9784431557432
An amoeba of an analytic set is the real part of its image in a logarithmic scale. Among all hypersurfaces A-discriminantal sets have the most simple amoebas. We prove that any singular cuspidal stratum of the classical discriminant can be transforme
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::416a810d7e9910a1c3bed0c1a484b9fb
https://doi.org/10.1007/978-4-431-55744-9_19
https://doi.org/10.1007/978-4-431-55744-9_19