BibTex RIS Kaynak Göster

On the Matrices with Harmonic Numbers

Yıl 2010, Cilt: 23 Sayı: 4, 445 - 448, 23.09.2010

Öz

r1_601_01

Kaynakça

  • Adamchik, V.S., “On Stirling numbers and Euler sums”, J. Comput. and Appl. Math, 79: 119-130 (1997).
  • Benjamin, A.T., Gaebler, D., Gaebler, R., “A combinatorial approach to hyperharmonic numbers”, Integers ( Elec. J. Combi. Number Theory), 3:1-9 A15(2003).
  • Chu, W., De Donno, L., “Hypergeometric series and harmonic number identities”, Adv. in Appl. Math, 34:123-137(2005).
  • Cheon, G.S., El-Mikkawy, M.E.A., “Generalized harmonic number identities and a related matrix representation”, J. Korean Mathematical Society, 2(44):487–498(2007).
  • Cheon, G.S., El-Mikkawy, M.E.A., “Generalized harmonic numbers with Riordan arrays”, Journal of Number Theory, 128:413-425(2008).
  • Spivey, M.Z., “Combinatorial sums and finite differences”, Discrete Mathematics, 307:3130-3146 (2007).
Yıl 2010, Cilt: 23 Sayı: 4, 445 - 448, 23.09.2010

Öz

Kaynakça

  • Adamchik, V.S., “On Stirling numbers and Euler sums”, J. Comput. and Appl. Math, 79: 119-130 (1997).
  • Benjamin, A.T., Gaebler, D., Gaebler, R., “A combinatorial approach to hyperharmonic numbers”, Integers ( Elec. J. Combi. Number Theory), 3:1-9 A15(2003).
  • Chu, W., De Donno, L., “Hypergeometric series and harmonic number identities”, Adv. in Appl. Math, 34:123-137(2005).
  • Cheon, G.S., El-Mikkawy, M.E.A., “Generalized harmonic number identities and a related matrix representation”, J. Korean Mathematical Society, 2(44):487–498(2007).
  • Cheon, G.S., El-Mikkawy, M.E.A., “Generalized harmonic numbers with Riordan arrays”, Journal of Number Theory, 128:413-425(2008).
  • Spivey, M.Z., “Combinatorial sums and finite differences”, Discrete Mathematics, 307:3130-3146 (2007).
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Mathematics
Yazarlar

Mustafa Bahsi

Süleyman Solak

Yayımlanma Tarihi 23 Eylül 2010
Yayımlandığı Sayı Yıl 2010 Cilt: 23 Sayı: 4

Kaynak Göster

APA Bahsi, M., & Solak, S. (2010). On the Matrices with Harmonic Numbers. Gazi University Journal of Science, 23(4), 445-448.
AMA Bahsi M, Solak S. On the Matrices with Harmonic Numbers. Gazi University Journal of Science. Eylül 2010;23(4):445-448.
Chicago Bahsi, Mustafa, ve Süleyman Solak. “On the Matrices With Harmonic Numbers”. Gazi University Journal of Science 23, sy. 4 (Eylül 2010): 445-48.
EndNote Bahsi M, Solak S (01 Eylül 2010) On the Matrices with Harmonic Numbers. Gazi University Journal of Science 23 4 445–448.
IEEE M. Bahsi ve S. Solak, “On the Matrices with Harmonic Numbers”, Gazi University Journal of Science, c. 23, sy. 4, ss. 445–448, 2010.
ISNAD Bahsi, Mustafa - Solak, Süleyman. “On the Matrices With Harmonic Numbers”. Gazi University Journal of Science 23/4 (Eylül 2010), 445-448.
JAMA Bahsi M, Solak S. On the Matrices with Harmonic Numbers. Gazi University Journal of Science. 2010;23:445–448.
MLA Bahsi, Mustafa ve Süleyman Solak. “On the Matrices With Harmonic Numbers”. Gazi University Journal of Science, c. 23, sy. 4, 2010, ss. 445-8.
Vancouver Bahsi M, Solak S. On the Matrices with Harmonic Numbers. Gazi University Journal of Science. 2010;23(4):445-8.