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An Approach to the Determination of the Resultant of Two Entire Functions

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Abstract

We calculate the sum of the values of an entire function at the zeros of the other entire function by means of the formula of logarithmic residue. As a result, we can 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.

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Authors and Affiliations

  1. Siberian Federal University, Svobodnyi pr. 79, Krasnoyarsk, 660041, Russia

    A. M. Kytmanov & O. V. Khodos

Authors
  1. A. M. Kytmanov
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  2. O. V. Khodos
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Correspondence to A. M. Kytmanov.

Additional information

Original Russian Text © A.M. Kytmanov, O.V. Khodos, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 4, pp. 49–59.

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Kytmanov, A.M., Khodos, O.V. An Approach to the Determination of the Resultant of Two Entire Functions. Russ Math. 62, 42–51 (2018). https://doi.org/10.3103/S1066369X18040059

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  • DOI: https://doi.org/10.3103/S1066369X18040059

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