| Title:
|
Convolution of second order linear recursive sequences II. (English) |
| Author:
|
Szakács, Tamás |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 |
| Volume:
|
25 |
| Issue:
|
2 |
| Year:
|
2017 |
| Pages:
|
137-148 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Convolution |
| Keyword:
|
generating function |
| Keyword:
|
linear recurrence sequences |
| Keyword:
|
Fibonacci sequence. |
| MSC:
|
11B37 |
| MSC:
|
11B39 |
| idZBL:
|
Zbl 06888204 |
| idMR:
|
MR3745433 |
| . |
| Date available:
|
2018-02-05T14:41:44Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147062 |
| . |
| Reference:
|
[1] Szakács, T.: Convolution of second order linear recursive sequences I..Annales Mathematicae et Informaticae, 46, 2016, 205-216, Zbl 1374.11026, MR 3607013 |
| Reference:
|
[2] Griffiths, M., Bramham, A.: The Jacobsthal numbers: Two results and two questions.The Fibonacci Quarterly, 53, 2, 2015, 147-151, MR 3353492 |
| Reference:
|
[3] Inc., OEIS Foundation: The On-Line Encyclopedia of Integer Sequences.2011, http://oeis.org. |
| Reference:
|
[4] Zhang, Z., He, P.: The Multiple Sum on the Generalized Lucas Sequences.The Fibonacci Quarterly, 40, 2, 2002, 124-127, Zbl 1039.11003, MR 1902748 |
| Reference:
|
[5] Zhang, W.: Some Identities Involving the Fibonacci Numbers.The Fibonacci Quarterly, 35, 3, 1997, 225-229, Zbl 0880.11018, MR 1465835 |
| Reference:
|
[6] Vajda, S.: Fibonacci & Lucas numbers, and the golden section.Ellis Horwood Books In Mathematics And Its Application, 1989, Zbl 0695.10001, MR 1015938 |
| Reference:
|
[7] Jones, J.P., Kiss, P.: Linear recursive sequences and power series.Publ. Math. Debrecen, 41, 1992, 295-306, Zbl 0769.11007, MR 1189111 |
| . |
