Geodesic
On a new two-parameter generalization of dual-hyperbolic Jacobsthal numbers
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 75 (2021) no. 1, pp. 1-14.

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In this paper we introduce two-parameter generalization of dualhyperbolic Jacobsthal numbers: dual-hyperbolic (s,p)-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, d’Ocagne identities. Moreover, we give the generating function, matrix generator and summation formula for these numbers.
Keywords: Jacobsthal numbers, dual-hyperbolic numbers, dualhyperbolic Jacobsthal numbers, Binet formula, Catalan identity, Cassini identity 
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Bród, Dorota; Szynal-Liana, Anetta; Włoch, Iwona. On a new two-parameter generalization of dual-hyperbolic Jacobsthal numbers. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 75 (2021) no. 1, pp. 1-14. http://geodesic.mathdoc.fr/item/AUM_2021_75_1_a0/

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