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{a_(k,n) (τ)}_τ^∞ Genelleştirilmiş Fibonacci Otokorelasyon Dizilerinin Terimlerini İçeren Bazı Bağıntılar

Year 2017, Volume: 21 Issue: 3, 307 - 313, 01.06.2017

Neşe Ömür Sibel Koparal

https://doi.org/10.16984/saufenbilder.283844

Abstract

 Bu çalışmada





terimlerine sahip genelleştirilmiş
Fibonacci otokorelasyon dizileri  ve bu dizilerin terimlerini içeren bazı
toplamlar verildi.

Keywords

Fibonacci sayıları genelleştirilmiş Fibonacci otokorelasyon diziler toplamlar

References

  • [1] E. Kılıç and P. Stanica, "Factorizations and Representations of Second Order Linear Recurrences with Indices in Arithmetic Progressions," Bol. Soc. Mat. Mex. III. Ser.,, vol. 15, no. 1, pp. 23-25, 2009.
  • [2] P. Filipponi and H.T. Freitag, "Autocorrelation Sequences," The Fibonacci Quarterly, vol. 32, no. 4, pp. 356-368, 1994.
  • [3] S. Golomb, Shift Register Sequences, Laguna Hills: CA: Aegean Park Press, 1982.
  • [4] Y. Türker, N. Ömür, E.Kılıç, "Sums of Products of the Terms of the Generalized Lucas Sequence {V_kn }," Hacettepe Journal of Mathematics and Statistics, vol. 4, no. 2, pp. 147-161, 2011.
  • [5] T. Koshy, Fibonacci and Lucas Numbers with Applications, New York: Pure and Applied Mathematics, Wiley-Interscience, 2001.
  • [6] S. Vajda, Fibonacci&Lucas Numbers and the Golden Section, New York: John Wiley&Sons, Inc., 1989.

Some sums related to the terms of generalized Fibonacci autocorrelation sequences ak n ,  

Year 2017, Volume: 21 Issue: 3, 307 - 313, 01.06.2017

Neşe Ömür Sibel Koparal

https://doi.org/10.16984/saufenbilder.283844

Abstract

In
this paper, we give the terms of the generalized Fibonacci autocorrelation
sequences  defined as





and
some interesting sums involving terms of these sequences for an odd integer
number  and nonnegative
integers .

Keywords

Fibonacci numbers generalized Fibonacci autocorrelation sequences sums

References

  • [1] E. Kılıç and P. Stanica, "Factorizations and Representations of Second Order Linear Recurrences with Indices in Arithmetic Progressions," Bol. Soc. Mat. Mex. III. Ser.,, vol. 15, no. 1, pp. 23-25, 2009.
  • [2] P. Filipponi and H.T. Freitag, "Autocorrelation Sequences," The Fibonacci Quarterly, vol. 32, no. 4, pp. 356-368, 1994.
  • [3] S. Golomb, Shift Register Sequences, Laguna Hills: CA: Aegean Park Press, 1982.
  • [4] Y. Türker, N. Ömür, E.Kılıç, "Sums of Products of the Terms of the Generalized Lucas Sequence {V_kn }," Hacettepe Journal of Mathematics and Statistics, vol. 4, no. 2, pp. 147-161, 2011.
  • [5] T. Koshy, Fibonacci and Lucas Numbers with Applications, New York: Pure and Applied Mathematics, Wiley-Interscience, 2001.
  • [6] S. Vajda, Fibonacci&Lucas Numbers and the Golden Section, New York: John Wiley&Sons, Inc., 1989.
There are 6 citations in total.

Details

Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Neşe Ömür This is me

Sibel Koparal This is me

Publication Date June 1, 2017
Submission Date June 24, 2016
Acceptance Date October 26, 206
Published in Issue Year 2017 Volume: 21 Issue: 3

Cite

APA Ömür, N., & Koparal, S. (2017). Some sums related to the terms of generalized Fibonacci autocorrelation sequences ak n ,  . Sakarya University Journal of Science, 21(3), 307-313. https://doi.org/10.16984/saufenbilder.283844
AMA Ömür N, Koparal S. Some sums related to the terms of generalized Fibonacci autocorrelation sequences ak n ,  . SAUJS. June 2017;21(3):307-313. doi:10.16984/saufenbilder.283844
Chicago Ömür, Neşe, and Sibel Koparal. “Some Sums Related to the Terms of Generalized Fibonacci Autocorrelation Sequences ak N ,  ”. Sakarya University Journal of Science 21, no. 3 (June 2017): 307-13. https://doi.org/10.16984/saufenbilder.283844.
EndNote Ömür N, Koparal S (June 1, 2017) Some sums related to the terms of generalized Fibonacci autocorrelation sequences ak n ,  . Sakarya University Journal of Science 21 3 307–313.
IEEE N. Ömür and S. Koparal, “Some sums related to the terms of generalized Fibonacci autocorrelation sequences ak n ,  ”, SAUJS, vol. 21, no. 3, pp. 307–313, 2017, doi: 10.16984/saufenbilder.283844.
ISNAD Ömür, Neşe - Koparal, Sibel. “Some Sums Related to the Terms of Generalized Fibonacci Autocorrelation Sequences ak N ,  ”. Sakarya University Journal of Science 21/3 (June 2017), 307-313. https://doi.org/10.16984/saufenbilder.283844.
JAMA Ömür N, Koparal S. Some sums related to the terms of generalized Fibonacci autocorrelation sequences ak n ,  . SAUJS. 2017;21:307–313.
MLA Ömür, Neşe and Sibel Koparal. “Some Sums Related to the Terms of Generalized Fibonacci Autocorrelation Sequences ak N ,  ”. Sakarya University Journal of Science, vol. 21, no. 3, 2017, pp. 307-13, doi:10.16984/saufenbilder.283844.
Vancouver Ömür N, Koparal S. Some sums related to the terms of generalized Fibonacci autocorrelation sequences ak n ,  . SAUJS. 2017;21(3):307-13.
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