Проблемы анализа (Sep 2020)

ON FINDING THE RESULTANT OF TWO ENTIRE FUNCTIONS

  • A. M. Kytmanov,
  • E. K. Myshkina

DOI
https://doi.org/10.15393/j3.art.2020.8571
Journal volume & issue
Vol. 927, no. 3
pp. 119 – 130

Abstract

Read online

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 zeros. By that, we propose an approach to construction of the resultant of two entire functions. We also give examples illustrating the main result.

Keywords