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Sum of generalized alternating harmonic series with seven 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%3A00527162" target="_blank" >RIV/60162694:G43__/15:00527162 - 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 seven periodically repeated numerators

  • Original language description

    This contribution deals with the generalized convergent harmonic series with seven periodically repeated numerators and it is a follow-up to author’s papers dealing with the generalized alternating harmonic series with two up to six periodically repeated numerators. It is derived the only expression of the last numerator depending on preceding numerators for which this series converges. Then the formula for the sum of this series is analytically derived. Finally, this analytical obtained result is numerically verified by using the CAS Maple 16.

  • 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

    9. didaktická konference s mezinárodní účastí - sborník abstraktů a příspěvků

  • ISBN

    978-80-210-7814-7

  • ISSN

  • e-ISSN

  • Number of pages

    10

  • Pages from-to

    43-52

  • Publisher name

    Masarykova univerzita, Pedagogická fakulta, Brno

  • Place of publication

    Brno

  • Event location

    Brno

  • Event date

    Apr 9, 2015

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article