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DC Field | Value | Language |
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dc.contributor.author | Frontczak, Robert | - |
dc.contributor.author | Гой, Тарас Петрович | - |
dc.date.accessioned | 2020-10-01T06:34:26Z | - |
dc.date.available | 2020-10-01T06:34:26Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Frontczak, R. Lucas-Euler relations using balancing and Lucas-balancing polynomials / R. Frontczak, T. Goy // Preprint, arXiv:2009.09409. – 2020. – 11 pages. | uk_UA |
dc.identifier.uri | http://hdl.handle.net/123456789/8161 | - |
dc.description.abstract | We establish some new combinatorial identities involving Euler polynomials and balancing (Lucas-balancing) polynomials. The derivations use elementary techniques and are based on functional equations for the respective generating functions. From these polynomial relations, we deduce interesting identities with Fibonacci and Lucas numbers, and Euler numbers. The results must be regarded as companion results to some Fibonacci-Bernoulli identities, which we derived in our previous paper. | uk_UA |
dc.language.iso | en | uk_UA |
dc.subject | Euler polynomials and numbers | uk_UA |
dc.subject | Bernoulli numbers | uk_UA |
dc.subject | Balancing polynomials and numbers | uk_UA |
dc.subject | Fibonacci numbers | uk_UA |
dc.subject | Lucas numbers | uk_UA |
dc.subject | generating function | uk_UA |
dc.title | Lucas-Euler relations using balancing and Lucas-balancing polynomials | uk_UA |
dc.type | Preprint | uk_UA |
Appears in Collections: | Статті та тези (ФМІ) |
Files in This Item:
File | Description | Size | Format | |
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2009.09409.pdf | 126.98 kB | Adobe PDF | View/Open |
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