Convolution of second order linear recursive sequences II.

Tamás Szakács

Communications in Mathematics (2017)

  • Volume: 25, Issue: 2, page 137-148
  • ISSN: 1804-1388

Abstract

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We continue the investigation of convolutions of second order linear recursive sequences (see the first part in [1]). In this paper, we focus on the case when the characteristic polynomials of the sequences have common root.

How to cite

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Szakács, Tamás. "Convolution of second order linear recursive sequences II.." Communications in Mathematics 25.2 (2017): 137-148. <http://eudml.org/doc/294657>.

@article{Szakács2017,
abstract = {We continue the investigation of convolutions of second order linear recursive sequences (see the first part in [1]). In this paper, we focus on the case when the characteristic polynomials of the sequences have common root.},
author = {Szakács, Tamás},
journal = {Communications in Mathematics},
keywords = {Convolution; generating function; linear recurrence sequences; Fibonacci sequence},
language = {eng},
number = {2},
pages = {137-148},
publisher = {University of Ostrava},
title = {Convolution of second order linear recursive sequences II.},
url = {http://eudml.org/doc/294657},
volume = {25},
year = {2017},
}

TY - JOUR
AU - Szakács, Tamás
TI - Convolution of second order linear recursive sequences II.
JO - Communications in Mathematics
PY - 2017
PB - University of Ostrava
VL - 25
IS - 2
SP - 137
EP - 148
AB - We continue the investigation of convolutions of second order linear recursive sequences (see the first part in [1]). In this paper, we focus on the case when the characteristic polynomials of the sequences have common root.
LA - eng
KW - Convolution; generating function; linear recurrence sequences; Fibonacci sequence
UR - http://eudml.org/doc/294657
ER -

References

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  1. Szakács, T., Convolution of second order linear recursive sequences I., Annales Mathematicae et Informaticae, 46, 2016, 205-216, (2016) Zbl1374.11026MR3607013
  2. Griffiths, M., Bramham, A., The Jacobsthal numbers: Two results and two questions, The Fibonacci Quarterly, 53, 2, 2015, 147-151, (2015) MR3353492
  3. Inc., OEIS Foundation, The On-Line Encyclopedia of Integer Sequences, 2011, http://oeis.org. (2011) 
  4. Zhang, Z., He, P., The Multiple Sum on the Generalized Lucas Sequences, The Fibonacci Quarterly, 40, 2, 2002, 124-127, (2002) Zbl1039.11003MR1902748
  5. Zhang, W., Some Identities Involving the Fibonacci Numbers, The Fibonacci Quarterly, 35, 3, 1997, 225-229, (1997) Zbl0880.11018MR1465835
  6. Vajda, S., Fibonacci & Lucas numbers, and the golden section, Ellis Horwood Books In Mathematics And Its Application, 1989, (1989) Zbl0695.10001MR1015938
  7. Jones, J.P., Kiss, P., Linear recursive sequences and power series, Publ. Math. Debrecen, 41, 1992, 295-306, (1992) Zbl0769.11007MR1189111

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