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On sums of binomial coefficients

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Název: On sums of binomial coefficients
Autoři: Sofo, Anthony
Zdroj: Proyecciones (Antofagasta), Volume: 28, Issue: 1, Pages: 35-45, Published: MAY 2009
Informace o vydavateli: Universidad Catolica del Norte - Chile, 2025.
Rok vydání: 2025
Témata: Zeta function, ResPubID17624, 0103 Numerical and Computational Mathematics, integral representations, Triple binomial coefficients, triple binomial coefficients, 0102 computer and information sciences, 01 natural sciences, zeta function, combinatorial identities, School of Engineering and Science, 970101 Expanding Knowledge in the Mathematical Sciences, 0101 mathematics
Popis: We investigate the integral representation of infinite sums involving the ratio of binomial coefficients. We also recover some wellknown properties of ζ (3) and extend the range of results given by other authors.
Druh dokumentu: Article
Popis souboru: text/html
ISSN: 0717-6279
DOI: 10.4067/s0716-09172009000100004
Přístupová URL adresa: https://scielo.conicyt.cl/pdf/proy/v28n1/art04.pdf
https://vuir.vu.edu.au/4599/
https://www.revistaproyecciones.cl/article/view/1383
http://www.scielo.cl/pdf/proy/v28n1/art04.pdf
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000100004
https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000100004
http://vuir.vu.edu.au/4599/
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000100004&lng=en&tlng=en
Rights: CC BY
CC BY NC
Přístupové číslo: edsair.doi.dedup.....aea5f5d8cba9c09fb850f7e5fc0f0b42
Databáze: OpenAIRE
Popis
Abstrakt:We investigate the integral representation of infinite sums involving the ratio of binomial coefficients. We also recover some wellknown properties of ζ (3) and extend the range of results given by other authors.
ISSN:07176279
DOI:10.4067/s0716-09172009000100004