Sums of Generalized Convergent Harmonic Series with Periodically Repeated Numerators (1,a,b)

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F14%3A00520801" target="_blank" >RIV/60162694:G43__/14:00520801 - 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 Generalized Convergent Harmonic Series with Periodically Repeated Numerators (1,a,b)
Original language description
This contribution deals with the generalized convergent harmonic series with periodically repeated numerators (1,a,b), where a,b in R. Firstly, it is derived that the only value of the coecient b, for which this series converges, is b = -a-1. Then the formula for the sum s(a) of this series is analytically derived. A relation for calculation the value of the constant a in R from an arbitrary sum s(a) also follows from the derived formula. The obtained analytical results are finally numerically verifiedby using the computer algebra system Maple 15 and its basic programming language.
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 International Conference PRESENTATION of MATHEMATICS '14
ISBN
978-80-7494-108-5
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
81-88
Publisher name
Technická univerzita v Liberci
Place of publication
Liberec
Event location
Liberec
Event date
Sep 25, 2014
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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