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-Adic Polynomials and Partial Fraction Decomposition of Proper Rational Functions over or

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  • Kwang Hyun Kim
  • Xin Zhang

Abstract

The partial fraction decomposition technique is very useful in many areas including mathematics and engineering. In this paper we present a new and simple method on the partial fraction decomposition of proper rational functions which have completely factored denominators over or . The method is based on a recursive computation of the -adic polynomial in commutative algebra which is a generalization of the Taylor polynomial. Since its computation requires only simple algebraic operations, it does not require a computer algebra system to be programmed.

Suggested Citation

  • Kwang Hyun Kim & Xin Zhang, 2018. "-Adic Polynomials and Partial Fraction Decomposition of Proper Rational Functions over or," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2018, pages 1-6, April.
    • Handle: RePEc:hin:jijmms:7495964
    DOI: 10.1155/2018/7495964
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    References listed on IDEAS

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    1. Youneng Ma & Jinhua Yu & Yuanyuan Wang, 2014. "Efficient Recursive Methods for Partial Fraction Expansion of General Rational Functions," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-18, October.
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    1. Kornienko, Natalia (Корниенко, Наталья) & Minina, Elena (Минина, Елена) & Korolev, Georgy (Королев, Георгий) & Mitrofanova, Ekaterina (Митрофанова, Екатерина) & Pushkareva, Nataliya (Пушкарева, Наталь, 2018. "Analysis of International and Russian Experience in Regulating the Conclusion of Multilateral Agreements on Pricing with Taxpayers [Анализ Международного И Российского Опыта По Регулированию Заключ," Working Papers 031820, Russian Presidential Academy of National Economy and Public Administration.
    2. Korytin, A.V. (Корытин, А.В.) & Shatalova, Svetlana Sergeevna (Шаталова, Светлана Сергеевна), 2016. "Improving the Mechanism of Taxation of Natural Persons Property [Совершенствование Механизма Налогообложения Недвижимости Физических Лиц]," Working Papers 2331, Russian Presidential Academy of National Economy and Public Administration.
    3. Lubimov, I.L. (Любимов, И.Л.), 2016. "Inequality and Growth: Theoretical Aspects of Dependence [Неравенство И Экономический Рост: Теоретические Аспекты Зависимости]," Working Papers 2042, Russian Presidential Academy of National Economy and Public Administration.
    4. Shatalovа, Svetlana (Шаталова, Светлана) & Zakharenkova, E (Захаренкова, Е.), 2015. "Analysis of the First Experiences with the Transfer Pricing Rules in 2012-2013 [Анализ Первого Опыта Применения Правил Трансфертного Ценообразования В 2012-2013 Гг]," Published Papers mn16, Russian Presidential Academy of National Economy and Public Administration.
    5. Yakhontova, Elena Sergeevna (Яхонтова, Елена Сергеевна) & Gavrilova, S.V. (Гаврилова, С.), 2016. "Productivity Management Practice in Modern Companies [Практика Управления Производительностью Труда В Современных Компаниях]," Working Papers 3132, Russian Presidential Academy of National Economy and Public Administration.
    6. Vladimir Mau & Konstantin Yanovskiy & O. Vakhromeev, 2007. "Closed Democracy Institutions: an Attempt of Contrastive Analysis," Research Paper Series, Gaidar Institute for Economic Policy, issue 107P.
    7. Konstantin Yanovskiy & Sergey Zhavoronkov, 2005. "Politico_economic Aspects of Combat with Terrorism," Research Paper Series, Gaidar Institute for Economic Policy, issue 82P, pages 116-116.
    8. Kossova Tatiana & Kossova Elena & Sukhodoev Vladimir, 2012. "Revealing Macroeconomic Determinants of Alcohol Abuse and its Influence on Life Expectancy in Russia," HSE Working papers WP BRP 14/EC/2012, National Research University Higher School of Economics.
    9. Lipina, Svetlana (Липина, Светлана) & Smirnova, Olga (Мирнова, Ольга) & Agapova, Elena (Агапова, Елена) & Lipina, A.V. (Липина, А.В.), 2017. "The Development of the 'Green' Economy in Russia: Opportunities and Prospects [Развитие «Зелёной» Экономики В России: Возможности И Перспективы]," Working Papers 051726, Russian Presidential Academy of National Economy and Public Administration.

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