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

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

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.

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


Full text: PDF file (208 kB)
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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:4, 42–51

Bibliographic databases:

UDC: 517.538
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

Citation in format AMSBIB
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\by A.~M.~Kytmanov, O.~V.~Khodos
\paper An approach to the determination of the resultant of two entire functions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2018
\issue 4
\pages 49--59
\mathnet{http://mi.mathnet.ru/ivm9348}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2018
\vol 62
\issue 4
\pages 42--51
\crossref{https://doi.org/10.3103/S1066369X18040059}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85045110774}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. M. Kytmanov, E. K. Myshkina, “On finding the resultant of two entire functions”, Probl. anal. Issues Anal., 9(27):3 (2020), 119–130  mathnet  crossref
  • Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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