Journal of Siberian Federal University. Mathematics & Physics / On a Formula for Calculating the Resultant of Two Entire Functions

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (1)
Authors
Myshkina, Evgeniya K.
Contact information
Myshkina, Evgeniya K.: Institute of Computational Modelling SB RAS Krasnoyarsk, Russian Federation; OCRID: 0000-0003-4754-5246
Keywords
resultant; entire function; Newton formulae
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

Pages
17–22
DOI
10.17516/1997-1397-2022-15-1-17-22
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/144953