Antonio Jimenez Pastor, Philipp Nuspl, Veronika Elisabeth Pillwein,
"On C2-Finite Sequences"
, in Frédéric Chyzak, George Labahn: Proceedings of the 2021 on International Symposium on Symbolic and Algebraic Computation, Serie ISSAC'21, Association for Computing Machinery, New York, NY, USA, Seite(n) 217--224, 2021, ISBN: 9781450383820
On C2-Finite Sequences
Sprache des Titels:
Proceedings of the 2021 on International Symposium on Symbolic and Algebraic Computation
Holonomic sequences are widely studied as many objects interesting to mathematicians and computer scientists are in this class. In the univariate case, these are the sequences satisfying linear recurrences with polynomial coefficients and also referred to as D-finite sequences. A subclass are C-finite sequences satisfying a linear recurrence with constant coefficients.We investigate the set of sequences which satisfy linear recurrence equations with coefficients that are C-finite sequences. These sequences are a natural generalization of holonomic sequences. In this paper, we show that C2-finite sequences form a difference ring and provide methods to compute in this ring.