BibTex RIS Kaynak Göster

An Application of Hyperharmonic Numbers in Matrices

Yıl 2013, Cilt: 42 Sayı: 4, - 1, 01.04.2013

Öz

In this study, firstly we defined an n× k matrix, G(r) n,k , whose entriesconsist of hyperharmonic numbers. Then we obtained relation betweenPascal matrices and Gr n,k . Finally we calculated the determinant ofG r n,n .

Kaynakça

  • Kalman D. Generalized Fibonacci numbers by matrix methods, Fibonacci Quarterly 20(1), 73–76, 1982.
  • Er M.C. Sums of Fibonacci numbers by matrix methods, Fibonacci Quarterly 22(3), 204–207, 198 Karaduman E. An application of Fibonacci numbers in matrices, Applied Mathematics and Computation 147, 903–908, 2004.
  • Tasci D. and Kilic E. On the order-k generalized Lucas numbers, Applied Mathematics and Computation 155, 637–641, 2004.
  • Fu X. and Zhou X. On matrices related with Fibonacci and Lucas numbers, Applied Mathematics and Computation 200, 96–100, 2008.
  • Conway, J.H. and Guy, R.K. The Book of Numbers, Springer-Verlag, New York, 1996. Benjamin, A.T., Gaebler, D. and Gaebler, R. A combinatorial approach to hyperharmonic numbers, Integers: Electron. J. Combin. Number Theory 3, 1–9, 2003.
  • El-Mikkawy, M.E.A. On solving linear systems of the Pascal type, Applied Mathematics and Computation 136, 195–202, 2003.
  • Lv, X.-G., Huang, T.-Z. and Ren, Z.-G. A new algorithm for linear systems of the Pascal type, Journal of Computational and Applied Mathematics 225, 309–315, 2009.

An Application of Hyperharmonic Numbers in Matrices

Yıl 2013, Cilt: 42 Sayı: 4, - 1, 01.04.2013

Öz

-

Kaynakça

  • Kalman D. Generalized Fibonacci numbers by matrix methods, Fibonacci Quarterly 20(1), 73–76, 1982.
  • Er M.C. Sums of Fibonacci numbers by matrix methods, Fibonacci Quarterly 22(3), 204–207, 198 Karaduman E. An application of Fibonacci numbers in matrices, Applied Mathematics and Computation 147, 903–908, 2004.
  • Tasci D. and Kilic E. On the order-k generalized Lucas numbers, Applied Mathematics and Computation 155, 637–641, 2004.
  • Fu X. and Zhou X. On matrices related with Fibonacci and Lucas numbers, Applied Mathematics and Computation 200, 96–100, 2008.
  • Conway, J.H. and Guy, R.K. The Book of Numbers, Springer-Verlag, New York, 1996. Benjamin, A.T., Gaebler, D. and Gaebler, R. A combinatorial approach to hyperharmonic numbers, Integers: Electron. J. Combin. Number Theory 3, 1–9, 2003.
  • El-Mikkawy, M.E.A. On solving linear systems of the Pascal type, Applied Mathematics and Computation 136, 195–202, 2003.
  • Lv, X.-G., Huang, T.-Z. and Ren, Z.-G. A new algorithm for linear systems of the Pascal type, Journal of Computational and Applied Mathematics 225, 309–315, 2009.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Matematik
Yazarlar

Mustafa Bahşi Bu kişi benim

Süleyman Solak Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2013
Yayımlandığı Sayı Yıl 2013 Cilt: 42 Sayı: 4

Kaynak Göster

APA Bahşi, M., & Solak, S. (2013). An Application of Hyperharmonic Numbers in Matrices. Hacettepe Journal of Mathematics and Statistics, 42(4), 1.
AMA Bahşi M, Solak S. An Application of Hyperharmonic Numbers in Matrices. Hacettepe Journal of Mathematics and Statistics. Nisan 2013;42(4):1.
Chicago Bahşi, Mustafa, ve Süleyman Solak. “An Application of Hyperharmonic Numbers in Matrices”. Hacettepe Journal of Mathematics and Statistics 42, sy. 4 (Nisan 2013): 1.
EndNote Bahşi M, Solak S (01 Nisan 2013) An Application of Hyperharmonic Numbers in Matrices. Hacettepe Journal of Mathematics and Statistics 42 4 1.
IEEE M. Bahşi ve S. Solak, “An Application of Hyperharmonic Numbers in Matrices”, Hacettepe Journal of Mathematics and Statistics, c. 42, sy. 4, s. 1, 2013.
ISNAD Bahşi, Mustafa - Solak, Süleyman. “An Application of Hyperharmonic Numbers in Matrices”. Hacettepe Journal of Mathematics and Statistics 42/4 (Nisan 2013), 1.
JAMA Bahşi M, Solak S. An Application of Hyperharmonic Numbers in Matrices. Hacettepe Journal of Mathematics and Statistics. 2013;42:1.
MLA Bahşi, Mustafa ve Süleyman Solak. “An Application of Hyperharmonic Numbers in Matrices”. Hacettepe Journal of Mathematics and Statistics, c. 42, sy. 4, 2013, s. 1.
Vancouver Bahşi M, Solak S. An Application of Hyperharmonic Numbers in Matrices. Hacettepe Journal of Mathematics and Statistics. 2013;42(4):1.