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Pregled bibliografske jedinice broj: 902727

Two infinite families of terminating binomial sums


Martinjak, Ivica
Two infinite families of terminating binomial sums // Periodica mathematica Hungarica, 75 (2017), 2; 244-254 doi:10.1007/s10998-017-0190-3 (međunarodna recenzija, članak, znanstveni)


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Naslov
Two infinite families of terminating binomial sums

Autori
Martinjak, Ivica

Izvornik
Periodica mathematica Hungarica (0031-5303) 75 (2017), 2; 244-254

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Binomial coefficient identity ; Bijection ; Weighted tilings ; Alternating sum

Sažetak
We present a family of identities including both binomial coefficients and a power of a natural number m>=2. We find a combinatorial interpretation of these identities, which provides bijective proof. Dual alternating sign identities are also presented.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Ivica Martinjak (autor)

Poveznice na cjeloviti tekst rada:

doi link.springer.com doi.org

Citiraj ovu publikaciju:

Martinjak, Ivica
Two infinite families of terminating binomial sums // Periodica mathematica Hungarica, 75 (2017), 2; 244-254 doi:10.1007/s10998-017-0190-3 (međunarodna recenzija, članak, znanstveni)
Martinjak, I. (2017) Two infinite families of terminating binomial sums. Periodica mathematica Hungarica, 75 (2), 244-254 doi:10.1007/s10998-017-0190-3.
@article{article, author = {Martinjak, Ivica}, year = {2017}, pages = {244-254}, DOI = {10.1007/s10998-017-0190-3}, keywords = {Binomial coefficient identity, Bijection, Weighted tilings, Alternating sum}, journal = {Periodica mathematica Hungarica}, doi = {10.1007/s10998-017-0190-3}, volume = {75}, number = {2}, issn = {0031-5303}, title = {Two infinite families of terminating binomial sums}, keyword = {Binomial coefficient identity, Bijection, Weighted tilings, Alternating sum} }
@article{article, author = {Martinjak, Ivica}, year = {2017}, pages = {244-254}, DOI = {10.1007/s10998-017-0190-3}, keywords = {Binomial coefficient identity, Bijection, Weighted tilings, Alternating sum}, journal = {Periodica mathematica Hungarica}, doi = {10.1007/s10998-017-0190-3}, volume = {75}, number = {2}, issn = {0031-5303}, title = {Two infinite families of terminating binomial sums}, keyword = {Binomial coefficient identity, Bijection, Weighted tilings, Alternating sum} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Citati:





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