@article{IVM_2018_4_a4,
author = {A. M. Kytmanov and O. V. Khodos},
title = {An approach to the determination of the resultant of two entire functions},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {49--59},
year = {2018},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2018_4_a4/}
}
A. M. Kytmanov; O. V. Khodos. An approach to the determination of the resultant of two entire functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2018), pp. 49-59. http://geodesic.mathdoc.fr/item/IVM_2018_4_a4/
[1] Van der Varden B. L., Algebra, Nauka, M., 1976
[2] Kurosh A. G., Kurs vysshei algebry, Nauka, M., 1968
[3] Burbaki N., Algebra. Mnogochleny i polya, uporyadochennye gruppy, Nauka, M., 1965
[4] Krein M. G., Naimark M. A., “The method of symmetric and Hermitian forms in the theory of the roots of algebraic equation”, Linear and Multilinear Algebra, 10 (1981), 265–308 | DOI | MR | Zbl
[5] Gohberg I. C., Heinig G., “Resultant matrix and its generalization. I. Resultant operator of matrix polynomial”, Acta Sci. Math., 72 (1975), 41–61 | MR
[6] Gohberg I. C., Heinig G., “Resultant matrix and its generalization. II. Continual analog of resultant matrix”, Acta Math. Acad. Sci. Hungar, 28 (1976), 189–209 | DOI | MR | Zbl
[7] Gohberg I. C., Lerer L. E., “Resultant operators of a pair of analytic functions”, Proc. Amer. Math. Soc., 72:1 (1978), 65–73 | DOI | MR | Zbl
[8] Gustafsson B., Tkachev V. G., “The resultant on compact Riemann surfaces”, Comm. Math. Physics, 10 (2009), 265–308 | MR
[9] Morozov A.Yu., Shakirov Sh.R., “New and old resultant in resultant theory”, Theor. math. phys., 163:2 (2010), 587–617 | DOI | Zbl
[10] Bykov V. I., Tsybenova S. B., Nelineinye modeli khimicheskoi kinetiki, KRASAND, M., 2011
[11] Kytmanov A. M., Naprienko Ya.M., “One approach to finding the resultant of two entire functions”, Complex analysis and elliptic equat., 62:2 (2017), 269–286 | DOI | MR | Zbl
[12] Kytmanov A. M., Khodos O. V., “On localization of zeros of an entire function of finite order of growth”, Complex variables and operator theory, 11:2 (2017), 393–416 | DOI | MR | Zbl
[13] Shabat B. V., Vvedenie v kompleksnyi analiz, v. 1, Nauka, M., 1976
[14] Titchmarsh E., Teoriya funktsii, Nauka, M., 1980
[15] Markushevich A. I., Teoriya analiticheskikh funktsii, v. 2, Nauka, M., 1968 | MR
[16] Bykov V. I., Kytmanov A. M., Lazman M. Ya., Metody isklyucheniya v kompyuternoi algebre mnogochlenov, Nauka, Novosibirsk, 1989