The sum of the series of reciprocals of the quadratic polynomials with double non-positive integer root
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F16%3A00532070" target="_blank" >RIV/60162694:G43__/16:00532070 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
The sum of the series of reciprocals of the quadratic polynomials with double non-positive integer root
Original language description
This paper deals with the series of reciprocals of the quadratic polynomials with double non-positive integer root. The formula for the sum of these series, expressed by means of harmonic numbers, is derived. There are stated two another formulas using an improper integral and generalized harmonic umbers, too. These results are verified by the computer algebra system Maple 16.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Aplimat - 15th Conference on Applied Mathematics 2016, Proceedings
ISBN
978-802274531-4
ISSN
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e-ISSN
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Number of pages
7
Pages from-to
919-925
Publisher name
Vydavateľstvo STU, Bratislava, Slovak Republic
Place of publication
Bratislava, Slovenská republika
Event location
Bratislava, Slovenská republika
Event date
Feb 2, 2016
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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