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The use of complex variable functions in economic and mathematical models, using the example of the international trade model of the Visegrad four countries for 2000-2015

Author

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  • Yekimov, Sergey

Abstract

Interpolation of time series by the sum of exponents of a function of a complex variable gives an approximation no worse than using regression analysis. Despite the fact that time series are interpolated by functions of a complex variable, the values of these functions under certain conditions are real numbers. The imaginary component of complex numbers that occurs during calculations is several orders of magnitude smaller than the real part . The appearance of the imaginary part is due , in the author 's opinion , to the error of calculations and it can be neglected when interpreting the result of calculations . To calculate the interpolating function, the author used standard procedures used in the MATHLAB software. The absence of extremum points for exponents is the main advantage when using exponent sums for interpolation purposes compared to interpolation by polynomials.

Suggested Citation

  • Yekimov, Sergey, 2023. "The use of complex variable functions in economic and mathematical models, using the example of the international trade model of the Visegrad four countries for 2000-2015," MPRA Paper 117040, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:117040
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    File URL: https://mpra.ub.uni-muenchen.de/117040/1/MPRA_paper_117040.pdf
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    References listed on IDEAS

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    1. Cechura, L. & Hockmann, H. & Malý, M. & Žáková Kroupová, Z., 2015. "Comparison of Technology and Technical Efficiency in Cereal Production among EU Countries," AGRIS on-line Papers in Economics and Informatics, Czech University of Life Sciences Prague, Faculty of Economics and Management, vol. 7(2), pages 1-11, June.
    2. Murat Mamchuev, 2020. "Cauchy Problem for a Linear System of Ordinary Differential Equations of the Fractional Order," Mathematics, MDPI, vol. 8(9), pages 1-11, September.
    3. Inna Čábelková & Luboš Smutka & Svitlana Rotterova & Olesya Zhytna & Vít Kluger & David Mareš, 2022. "The Sustainability of International Trade: The Impact of Ongoing Military Conflicts, Infrastructure, Common Language, and Economic Wellbeing in Post-Soviet Region," Sustainability, MDPI, vol. 14(17), pages 1-14, August.
    4. Lukáš Čechura & Zdeňka Žáková Kroupová & Antonella Samoggia, 2021. "Drivers of Productivity Change in the Italian Tomato Food Value Chain," Agriculture, MDPI, vol. 11(10), pages 1-17, October.
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    More about this item

    Keywords

    Functions of a complex variable ; series of exponents ; interpolation by sums of exponents ; international trade model;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • F43 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Economic Growth of Open Economies

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