2 citations · 2 across the 10 of their papers we have counts for
13 papers
D-algebraic Guessing
Bertrand Teguia Tabuguia
Given finitely many consecutive terms of an infinite sequence, we discuss the construction of a polynomial difference equation that the sequence may satisfy. We also present a meth…
Computing with D-Algebraic Sequences
Bertrand Teguia Tabuguia
A sequence is difference algebraic (or D-algebraic) if finitely many shifts of its general term satisfy a polynomial relationship; that is, they are the coordinates of a generic po…
On Rational Recursion for Holonomic Sequences
Bertrand Teguia Tabuguia, James Worrell
It was recently conjectured that every component of a discrete-time rational dynamical system is a solution to an algebraic difference equation that is linear in its highest-shift…
Computing with Hypergeometric-Type Terms
Bertrand Teguia Tabuguia
Take a multiplicative monoid of sequences in which the multiplication is given by Hadamard product. The set of linear combinations of interleaving monoid elements then yields a rin…
Hypergeometric-Type Sequences
Bertrand Teguia Tabuguia
We introduce hypergeometric-type sequences. They are linear combinations of interlaced hypergeometric sequences (of arbitrary interlacements). We prove that they form a subring of…
Arithmetic of D-Algebraic Functions
Bertrand Teguia Tabuguia
We are concerned with the arithmetic of solutions to ordinary or partial nonlinear differential equations which are algebraic in the indeterminates and their derivatives. We call t…