Convolution of second order linear recursive sequences II.

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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.

[1] T. Szakács: Convolution of second order linear recursive sequences I. . Annales Mathematicae et Informaticae 46 (2016) 205-216.

[2] M. Griffths, A. Bramham: The Jacobsthal numbers: Two results and two questions. The Fibonacci Quarterly 53 (2) (2015) 147-151.

[3] OEIS Foundation Inc.: The On-Line Encyclopedia of Integer Sequences.

[4] Z. Zhang, P. He: The Multiple Sum on the Generalized Lucas Sequences. The Fibonacci Quarterly 40 (2) (2002) 124-127.

[5] W. Zhang: Some Identities Involving the Fibonacci Numbers. The Fibonacci Quarterly 35 (3) (1997) 225-229.

[6] S. Vajda: Fibonacci & Lucas numbers, and the golden section. Ellis Horwood Books In Mathematics And Its Application (1989).

[7] J.P. Jones, P. Kiss: Linear recursive sequences and power series. Publ. Math. Debrecen 41 (1992) 295-306.

Journal Information

Mathematical Citation Quotient (MCQ) 2016: 0.28

Target Group

researchers in the fields of: algebraic structures, calculus of variations, combinatorics, control and optimization, cryptography, differential equations, differential geometry, fuzzy logic and fuzzy set theory, global analysis, mathematical physics and number theory


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