Аннотация:
Using Newton's recurrent formulae, we find the product of values of an entire function of one variable in zeroes of another entire function. This allows to answer whether they have common zeros. By that, we propose an approach to construction of the resultant of two entire functions. We also give examples illustrating the main result.
Ключевые слова:
resultant, entire function, Newton formulae.
The first author was supported by Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher
Education of the Russian Federation in the framework of the establishment and development of regional Centers for Mathematics Research and Education (Agreement No. 075-02-2020-1534/1), the second author was supported by the RFBR (grant 19-31-60012).
Поступила в редакцию: 29.05.2020 Исправленный вариант: 16.08.2020 Принята в печать: 16.08.2020
Образец цитирования:
A. M. Kytmanov, E. K. Myshkina, “On finding the resultant of two entire functions”, Пробл. анал. Issues Anal., 9(27):3 (2020), 119–130
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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/pa310
https://www.mathnet.ru/rus/pa/v27/i3/p119
Эта публикация цитируется в следующих 5 статьяx:
V. I. Kuzovatov, A. A. Kytmanov, “On the Calculation of the Number of Real Roots of a System of Nonalgebraic Equations Using Computer Algebra”, Program Comput Soft, 51:2 (2025), 83
V. I. Kuzovatov, А. А. Kytmanov, Е. К. Myshkina, “On calculating partial sums of multiple numerical series by methods of Computer Algebra”, Programmirovanie, 2024, № 2, 74
V. I. Kuzovatov, A. S. Bushkova, “On calculating sums of some double series”, Пробл. анал. Issues Anal., 13(31):3 (2024), 56–63
Evgeniya K. Myshkina, “On a formula for calculating the resultant of two entire functions”, Журн. СФУ. Сер. Матем. и физ., 15:1 (2022), 17–22
V. I. Kuzovatov, A. A. Kytmanov, E. K. Myshkina, “On Computing the Resultant of a Polynomial and an Entire Function”, Program Comput Soft, 48:1 (2022), 59
Цитирование в формате AMSBIB
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