Harmonic sums and integral representations

• Autorzy: Sofo A.
• Języki publikacji: EN

Abstrakty

EN

In this paper we derive some identities of harmonic number sums with binomial coefficients, we also give integral representations for the sums. We recover some existing identities and introduce a number of new ones.

Słowa kluczowe

EN

harmonic numbers; zeta functions; binomial coefficients; combinatorial identities; double integral representations; series representations

PL

liczba harmoniczna; funkcje zeta; współczynniki dwumianowe; tożsamości kombinatoryjne; całki podwójne; reprezentacja szeregowa

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2010
• Tom: Vol. 16, nr 2
• Strony: 265--277
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Sofo A.

• School of Engineering and Science, Victoria University, PO Box 14428, Melbourne City, VIC 8001, Australia,

Bibliografia

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