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Sums of generalized convergent harmonic series with eight 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%3A00532875" target="_blank" >RIV/60162694:G43__/15:00532875 - isvavai.cz</a>

  • Result on the web

    <a href="http://eiris.it/en/ratio-mathematica-n-28-2015/" target="_blank" >http://eiris.it/en/ratio-mathematica-n-28-2015/</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Sums of generalized convergent harmonic series with eight periodically repeated numerators

  • Original language description

    This contribution deals with the generalized convergent harmonic series with eight periodically repeated numerators and it is a follow-up to author's papers dealing with the generalized alternating harmonic series with two up to seven 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. This analytical result is numerically verified by using the CAS Maple 16.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • 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

  • Name of the periodical

    Ratio Mathematica - Journal of Foundations and Applications of Mathematics

  • ISSN

    2282-8214

  • e-ISSN

  • Volume of the periodical

    28/2015

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    IT - ITALY

  • Number of pages

    12

  • Pages from-to

    3-14

  • UT code for WoS article

  • EID of the result in the Scopus database