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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_ost - Ostatní články v recenzovaných periodicích

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Mathematics in Education, Research and Applications

ISSN

2453-6881

e-ISSN

—

Svazek periodika

3

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

SK - Slovenská republika

Počet stran výsledku

7

Strana od-do

17-23

Kód UT WoS článku

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EID výsledku v databázi Scopus

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