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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 4, Pages 49–59 (Mi ivm9348)  
This article is cited in 10 scientific papers (total in 10 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
Full-text PDF (208 kB) Citations (10)
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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.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-00277_а
Ministry of Education and Science of the Russian Federation 14.Y26.31.0006
Received: 06.02.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 4, Pages 42–51
DOI: https://doi.org/10.3103/S1066369X18040059
Bibliographic databases:
Document Type: Article
UDC: 517.538
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :51
    References:29
    First page:16
     
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