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Journal of Siberian Federal University. Mathematics & Physics, 2022, Volume 15, Issue 1, Pages 17–22
DOI: https://doi.org/10.17516/1997-1397-2022-15-1-17-22
(Mi jsfu971)
 

This article is cited in 1 scientific paper (total in 1 paper)

On a formula for calculating the resultant of two entire functions

Evgeniya K. Myshkina

Institute of Computational Modelling SB RAS, Krasnoyarsk, Russian Federation
Full-text PDF (89 kB) Citations (1)
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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.
Funding agency Grant number
Russian Foundation for Basic Research 19-31-60012
The author was supported by the Russian Foundation for Basic Research (project no. 19-31-60012).
Received: 10.08.2021
Received in revised form: 21.09.2021
Accepted: 20.10.2021
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: English
Citation: Evgeniya K. Myshkina, “On a formula for calculating the resultant of two entire functions”, J. Sib. Fed. Univ. Math. Phys., 15:1 (2022), 17–22
Citation in format AMSBIB
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\by Evgeniya~K.~Myshkina
\paper On a formula for calculating the resultant of two entire functions
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2022
\vol 15
\issue 1
\pages 17--22
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\crossref{https://doi.org/10.17516/1997-1397-2022-15-1-17-22}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4383488}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал Сибирского федерального университета. Серия "Математика и физика"
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    Abstract page:90
    Full-text PDF :41
    References:15
     
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