IDEAS home Printed from https://ideas.repec.org/a/hin/jijmms/7495964.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJMMS/2018/7495964.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/IJMMS/2018/7495964.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2018/7495964?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      More about this item

      Statistics

      Access and download statistics

      Corrections

      All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jijmms:7495964. See general information about how to correct material in RePEc.

      If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

      If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

      For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

      Please note that corrections may take a couple of weeks to filter through the various RePEc services.

      IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.