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JOURNALS // Problemy Analiza — Issues of Analysis // Archive

Probl. Anal. Issues Anal., 2020 Volume 9(27), Issue 3, Pages 119–130 (Mi pa310)

This article is cited in 4 papers

On finding the resultant of two entire functions

A. M. Kytmanova, E. K. Myshkinab

a Siberian Federal University, 660041, 79, Svobodny pr., Krasnoyarsk, Russia
b Institute of Computational Modelling, SB RAS, 660036, 50/44, Akademgorodok, Krasnoyarsk, Russia

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 zeros. By that, we propose an approach to construction of the resultant of two entire functions. We also give examples illustrating the main result.

Keywords: resultant, entire function, Newton formulae.

UDC: 517.55

MSC: 13P15, 32A15

Received: 29.05.2020
Revised: 16.08.2020
Accepted: 16.08.2020

Language: English

DOI: 10.15393/j3.art.2020.8571



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