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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2022 Volume 15, Issue 1, Pages 17–22 (Mi jsfu971)

On a formula for calculating the resultant of two entire functions

Evgeniya K. Myshkina

Institute of Computational Modelling SB RAS, Krasnoyarsk, Russian Federation

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.

UDC: 517.55

Received: 10.08.2021
Received in revised form: 21.09.2021
Accepted: 20.10.2021

Language: English

DOI: 10.17516/1997-1397-2022-15-1-17-22



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© Steklov Math. Inst. of RAS, 2024