Abstract:
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 zeroes. By that, we propose an approach to construction of the resultant of two entire functions. We also give example illustrating the main result.
Keywords:
resultant, entire function, Newton formulae.
The author was supported by the Russian Foundation for Basic Research (project no. 19-31-60012).
Received: 10.08.2021 Received in revised form: 21.09.2021 Accepted: 20.10.2021
Bibliographic databases:
Document Type:
Article
UDC:517.55
Language: English
Citation:
Evgeniya K. Myshkina, “On a formula for calculating the resultant of two entire functions”, J. Sib. Fed. Univ. Math. Phys., 15:1 (2022), 17–22
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Linking options:
https://www.mathnet.ru/eng/jsfu971
https://www.mathnet.ru/eng/jsfu/v15/i1/p17
This publication is cited in the following 2 articles:
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, A. S. Bushkova, “On calculating sums of some double series”, Probl. anal. Issues Anal., 13(31):3 (2024), 56–63
Citation in format AMSBIB
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