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@article{PA_2020_9_3_a7, author = {A. M. Kytmanov and E. K. Myshkina}, title = {On finding the resultant of two entire functions}, journal = {Problemy analiza}, pages = {119--130}, publisher = {mathdoc}, volume = {9}, number = {3}, year = {2020}, language = {en}, url = {http://geodesic.mathdoc.fr/item/PA_2020_9_3_a7/} }
A. M. Kytmanov; E. K. Myshkina. On finding the resultant of two entire functions. Problemy analiza, Tome 9 (2020) no. 3, pp. 119-130. http://geodesic.mathdoc.fr/item/PA_2020_9_3_a7/
[1] Bourbaki N., Algebra. Polynomials and Fields, Ordered Groups, Russian translation, Nauka, M., 1965 | MR
[2] Bykov V. I., Tsybenova S. B., Nonlinear Models of Chemical Kinetics, KRASAND, M., 2011 (in Russian)
[3] Chamberlin S., Rafizadeh A., “A generalized Newton-Girard formula for monomial symmetric polynomials”, Rocky Mountain J. Math., 50:3 (2020), 941–946 | DOI | MR | Zbl
[4] Gohberg I. C., Heinig G., “Resultant Matrix and its Generalization. I. Resultant Operator of Matrix Polynomial”, Acta Sci. Math., 72 (1975), 41–61 | MR
[5] Gohberg I. C., Heinig G., “Resultant Matrix and its Generalization. II. Continual Analog of Resultant Matrix”, Acta Math. Acad. Sci. Hungar., 28 (1976), 189–209 | DOI | MR | Zbl
[6] Gohberg I. C., Lerer L. E., “Resultant Operators of a Pair of Analytic Functions”, Proc. Amer. Math. Soc., 72:1 (1978), 65–73 | DOI | MR | Zbl
[7] Gould H. W., “The Girard-Waring power sum formulas for symmetric functions and Fibonacci sequences”, Fibonacci Quart., 37:2 (1999), 135–140 | MR | Zbl
[8] Gustafsson B., Tkachev V. G., “The Resultant on Compact Riemann Surfaces”, Comm. Math. Physics., 10 (2009), 265–308 | DOI | MR
[9] Krein M. G., Naimark M. A., “The Method of Symmetric and Hermitian Forms in the Theory of the Separation of the Roots of Algebraic Equation”, Linear and Multilinear Algebra, 10:4 (1981), 265–308 | DOI | MR | Zbl
[10] Kurosh A. G., Course in Higher Algebra, Russian translation, Nauka, M., 1968 | MR
[11] Kytmanov A. M., Naprienko Ya. M., “An Approach to Define the Resultant of Two Entire Functions”, Complex variables and elliptic equat., 62:2 (2017), 269–286 | DOI | MR | Zbl
[12] Kytmanov A. M., Khodos O. V., “On Localization of Zeros of an Entire Function of Finite Order of Growth”, Complex analysis and operator theory, 11:2 (2017), 393–416 | DOI | MR | Zbl
[13] Kytmanov A. M., Khodos O. V., “An Approach to the Determination of the Resultant of Two Entire Functions”, Russian Mathematics, 62:4 (2018), 42–51 | DOI | MR | Zbl
[14] Kytmanov A. M., Myshkina E. K., “On Some Approach for Finding the Resultant of Two Entire Functions”, J. Siberian Federal Univ. Math. Phys., 12:4 (2019), 434–438 | DOI | MR
[15] Morozov A. Yu., Shakirov Sh. R., “New and Old Results in Resultant Theory”, Theor. math. phys., 163:2 (2010), 587–617 | DOI | Zbl
[16] van der Waerden B. L., Algebra, Springer-Verlag, Berlin–Heidelderg–New York, 1966 | MR | Zbl