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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2018 Number 4, Pages 49–59 (Mi ivm9348)

This article is cited in 12 papers

An approach to the determination of the resultant of two entire functions

A. M. Kytmanov, O. V. Khodos

Siberian Federal University, 79 Svobodnyi Ave., Krasnoyarsk, 660041 Russia

Abstract: Based on the formula of logarithmic residue in the complex plane we calculated the sum of the values of one entire function in the zeros of the other entire function. This makes it possible to answer the question whether these functions have common zeros or not. Thus, we developed an approach to the determination of the resultant of two entire functions.

Keywords: resultant, entire function, logarithmic residue.

UDC: 517.538

Received: 06.02.2017


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:4, 42–51

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© Steklov Math. Inst. of RAS, 2025