Geodesic
On a formula for calculating the resultant of two entire functions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 1, pp. 17-22

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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. 
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Evgeniya K. Myshkina. On a formula for calculating the resultant of two entire functions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 1, pp. 17-22. http://geodesic.mathdoc.fr/item/JSFU_2022_15_1_a2/