On some identities and generating functions for k- Pell numbers
By Paula Maria Machado Cruz Catarino. 2013
71 citations recorded by the source corpus.
We obtain the Binet’s formula for k-Pell numbers and as a consequence we get some properties for k-Pell numbers. Also we give the generating function for k-Pell sequences and another expression for the general term of the sequence, using the ordinary generating function, is provided. Mathematics Subject Classification: 11B37, 05A15, 11B83.
Subfields: Computational Theory and Mathematics, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/79cfdc205a12cd2c85589b27ce229c56b0268415
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In Mathematical Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- On Some Identities for k-Fibonacci Sequence (2014, background): “Proposition 3 (Cassini’s identity) , , , + 1, (6) ∎ The d’Ocagne’s identity can also obtained using the Binet’s formula as it was done in Jhala et al., in [3] for the k-Jacobsthal sequence, Catarino in [7] for the k-Pell numbers and Catarino and Vasco in [9], [10] for k-Pell-Lucas and Modified k-Pel”