ON SUMS RELATED TO THE NUMERATOR OF GENERATING FUNCTIONS FOR THE kTH POWER OF FIBONACCI NUMBERS
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F10%3A00002966" target="_blank" >RIV/62690094:18470/10:00002966 - 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
ON SUMS RELATED TO THE NUMERATOR OF GENERATING FUNCTIONS FOR THE kTH POWER OF FIBONACCI NUMBERS
Original language description
New results about some sums sn(k, l) of products of the Lucas numbers, which are of similar type as the sums in [SEIBERT, J.-TROJOVSKY, P.: On multiple sums of products of Lucas numbers, J. Integer Seq. 10 (2007), article 07.4.5], and sums ?(k) are derived. These sums are related to the numerator of generating function for the kth powers of the Fibonacci numbers. sn(k, l) and ?(k) are expressed as the sum of the binomial and the Fibonomial coefficients. Proofs of these formulas are based on a special inverse formulas.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematica Slovaca
ISSN
0139-9918
e-ISSN
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Volume of the periodical
60
Issue of the periodical within the volume
6
Country of publishing house
SK - SLOVAKIA
Number of pages
20
Pages from-to
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UT code for WoS article
000285356400001
EID of the result in the Scopus database
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