Sums of four generalized alternating harmonic series with four periodically repeated numerators

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F14%3A00518800" target="_blank" >RIV/60162694:G43__/14:00518800 - 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
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Result language
angličtina
Original language name
Sums of four generalized alternating harmonic series with four periodically repeated numerators
Original language description
This paper deals with certain generalization of the alternating harmonic series - the generalized harmonic series with four periodically repeated numerators (1,-1,-1,1), (-1,1,1,-1), (1,1,-1,-1), (-1,-1,1,1) and with determination their sums. These sumsare firstly derived analytically by means of the Mercator series and by using the formula for the sum of convergent geometric series. Further, the sums are computed for various number of its terms by using the computer algebra system Maple 15 and its basic programming language. The numerical results are in in full compliance with corresponding ones obtained analytically.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of reviewed contributions of the XXXII International Colloquium of the Management of Educational Process
ISBN
978-80-7231-957-2
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
165-172
Publisher name
University of Defence
Place of publication
Brno
Event location
Brno
Event date
May 22, 2014
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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