Extensions of Euler Harmonic Sums
Apstrakt
Three new closed-form summation formulae involving harmonic numbers are established using simple arguments and they are very general extensions of Eulers famous harmonic sum identity. Some illustrative special cases as well as immediate consequences of the main results are also considered.
Ključne reči:
Harmonic numbers / Riemann Zeta functions / Binomial coefficients / Psi (Digamma) function / Polygamma functionsIzvor:
Applicable Analysis and Discrete Mathematics, 2012, 6, 2, 317-328Finansiranje / projekti:
- Funkcionalni, funkcionalizovani i usavršeni nano materijali (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45005)
- Dinamika nelinearnih fizičkohemijskih i biohemijskih sistema sa modeliranjem i predviđanjem njihovih ponašanja pod neravnotežnim uslovima (RS-MESTD-Basic Research (BR or ON)-172015)
DOI: 10.2298/AADM120628016S
ISSN: 1452-8630
WoS: 000308007400011
Scopus: 2-s2.0-84867978627
Kolekcije
Institucija/grupa
VinčaTY - JOUR AU - Sofo, Anthony AU - Cvijović, Đurđe PY - 2012 UR - https://vinar.vin.bg.ac.rs/handle/123456789/5017 AB - Three new closed-form summation formulae involving harmonic numbers are established using simple arguments and they are very general extensions of Eulers famous harmonic sum identity. Some illustrative special cases as well as immediate consequences of the main results are also considered. T2 - Applicable Analysis and Discrete Mathematics T1 - Extensions of Euler Harmonic Sums VL - 6 IS - 2 SP - 317 EP - 328 DO - 10.2298/AADM120628016S ER -
@article{ author = "Sofo, Anthony and Cvijović, Đurđe", year = "2012", abstract = "Three new closed-form summation formulae involving harmonic numbers are established using simple arguments and they are very general extensions of Eulers famous harmonic sum identity. Some illustrative special cases as well as immediate consequences of the main results are also considered.", journal = "Applicable Analysis and Discrete Mathematics", title = "Extensions of Euler Harmonic Sums", volume = "6", number = "2", pages = "317-328", doi = "10.2298/AADM120628016S" }
Sofo, A.,& Cvijović, Đ.. (2012). Extensions of Euler Harmonic Sums. in Applicable Analysis and Discrete Mathematics, 6(2), 317-328. https://doi.org/10.2298/AADM120628016S
Sofo A, Cvijović Đ. Extensions of Euler Harmonic Sums. in Applicable Analysis and Discrete Mathematics. 2012;6(2):317-328. doi:10.2298/AADM120628016S .
Sofo, Anthony, Cvijović, Đurđe, "Extensions of Euler Harmonic Sums" in Applicable Analysis and Discrete Mathematics, 6, no. 2 (2012):317-328, https://doi.org/10.2298/AADM120628016S . .