Geodesic
An approach to the determination of the resultant of two entire functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2018), pp. 49-59

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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. 
@article{IVM_2018_4_a4,
     author = {A. M. Kytmanov and O. V. Khodos},
     title = {An approach to the determination of the resultant of two entire functions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {49--59},
     publisher = {mathdoc},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_4_a4/}
}
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A. M. Kytmanov; O. V. Khodos. An approach to the determination of the resultant of two entire functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2018), pp. 49-59. http://geodesic.mathdoc.fr/item/IVM_2018_4_a4/