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math.NT2011★ 7 cited
Transforming Recurrent Sequences by Using the Binomial and Invert Operators
Stefano Barbero, Umberto Cerruti, Nadir Murru
In this paper we study the action of the Binomial and Invert (interpolated) operators on the set of linear recurrent sequences. We prove that these operators preserve this set, and…
math.NT2011★ 7 cited
Solving the Pell equation via Rédei rational functions
Stefano Barbero, Umberto Cerruti, Nadir Murru
In this paper, we define a new product over , which allows us to obtain a group isomorphic to with the usual product. This operation unexpectedly…
math.NT2011
Catalan Moments
Stefano Barbero, Umberto Cerruti
This paper is essentially devoted to the study of some interesting relations among the well known operators (the interpolated Invert), (the interpolated Binomia…