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The Sum of the Series of Reciprocals of the Quadratic Polynomials with Complex Conjugate Roots

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F18%3A00536325" target="_blank" >RIV/60162694:G43__/18:00536325 - isvavai.cz</a>

  • Result on the web

    <a href="http://eiris.it/ojs/index.php/ratiomathematica/issue/view/VOL%2035%20(2018)" target="_blank" >http://eiris.it/ojs/index.php/ratiomathematica/issue/view/VOL%2035%20(2018)</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.23755/rm.v35i0.427" target="_blank" >10.23755/rm.v35i0.427</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    The Sum of the Series of Reciprocals of the Quadratic Polynomials with Complex Conjugate Roots

  • Original language description

    This contribution is a follow-up to eight preceding author's papers dealing with the sums of the series of reciprocals of quadratic polynomials with different positive integer roots, with double non-positive integer root, with different negative integer roots, with double positive integer root, with one negative and one positive integer root, with purely imaginary conjugate roots, with integer roots, and with the sum of the finite series of reciprocals of the quadratic polynomials with integer purely imaginary conjugate roots respectively. We deal with the sum of the series of reciprocals of the quadratic polynomials with complex conjugate roots, 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

  • Czech description

Classification

  • Type

    J<sub>ost</sub> - Miscellaneous article in a specialist periodical

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Ratio Mathematica - Journal of Foundations and Applications of Mathematics

  • ISSN

    1592-7415

  • e-ISSN

    2282-8214

  • Volume of the periodical

    35

  • Issue of the periodical within the volume

    2/2018

  • Country of publishing house

    IT - ITALY

  • Number of pages

    11

  • Pages from-to

    75-85

  • UT code for WoS article

  • EID of the result in the Scopus database