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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 4, Pages 49–59
(Mi ivm9348)
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This article is cited in 12 scientific papers (total 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.
Received: 06.02.2017
Citation:
A. M. Kytmanov, O. V. Khodos, “An approach to the determination of the resultant of two entire functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 4, 49–59; Russian Math. (Iz. VUZ), 62:4 (2018), 42–51
Linking options:
https://www.mathnet.ru/eng/ivm9348 https://www.mathnet.ru/eng/ivm/y2018/i4/p49
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