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Sum of generalized alternating harmonic series with four periodically repeated numerators

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F15%3A00525141" target="_blank" >RIV/60162694:G43__/15:00525141 - isvavai.cz</a>

  • Result on the web

    <a href="http://vavtest.unob.cz/registr" target="_blank" >http://vavtest.unob.cz/registr</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Sum of generalized alternating harmonic series with four periodically repeated numerators

  • Original language description

    This contribution deals with the generalized convergent harmonic series with four periodically repeated numerators and it is a follow-up to author’s papers dealing with the generalized alternating harmonic series with two and three periodically repeated numerators. It is derived the only value of the last numerator for which this series converges. Then the formula for the sum of this series is analytically derived. Finally, the obtained analytical results are numerically verified by using the computer algebra system Maple 15.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of the 14th Conference on Applied Mathematics APLIMAT 2015

  • ISBN

    978-80-227-4314-3

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    638-643

  • Publisher name

    Slovak University of Technology in Bratislava, Publishing House of STU, Slovak Republic

  • Place of publication

    Bratislava, Slovensko

  • Event location

    Bratislava, Slovensko

  • Event date

    Feb 3, 2015

  • Type of event by nationality

    CST - Celostátní akce

  • UT code for WoS article