The sum of the series of reciprocals of the quadratic polynomials with purely imaginary conjugate roots

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F17%3A00534794" target="_blank" >RIV/60162694:G43__/17:00534794 - isvavai.cz</a>
Result on the web
<a href="http://meraa.uniag.sk/docs/2017-01/potucek.pdf" target="_blank" >http://meraa.uniag.sk/docs/2017-01/potucek.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.15414/meraa.2017.03.01.17-23" target="_blank" >10.15414/meraa.2017.03.01.17-23</a>

Result language
angličtina
Original language name
The sum of the series of reciprocals of the quadratic polynomials with purely imaginary conjugate roots
Original language description
This contribution, which is a follow-up to author's papers dealing with the sums of the series of reciprocals of quadratic polynomials with different positive integer roots, different negative integer roots, and one negative and one positive integer root, deals with the sum of the series of reciprocals of the quadratic polynomials with purely imaginary conjugate roots. We derive the formula for the sum of these series and verify it by some examples evaluated using the basic programming language of the computer algebra system Maple 16. This contribution can be an inspiration for teachers of mathematics who are teaching the topic Infinite series or as a subject matter for work with talented students.
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
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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