Sums of generalized convergent harmonic series with eight periodically repeated numerators

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
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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
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
Ratio Mathematica - Journal of Foundations and Applications of Mathematics
ISSN
2282-8214
e-ISSN
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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
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EID of the result in the Scopus database
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