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» On the nonlinearity of linear recurrence sequences
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ISSAC
1993
Springer
119views Mathematics» more  ISSAC 1993»
13 years 11 months ago
Finding all Hypergeometric Solutions of Linear Differential Equations
Hypergeometric sequences are such that the quotient of two successive terms is a fixed rational function of the index. We give a generalization of M. Petkov6ek’s algorithm to fi...
Marko Petkovsek, Bruno Salvy
BIRTHDAY
2008
Springer
13 years 9 months ago
Linear Recurrence Relations for Graph Polynomials
A sequence of graphs Gn is iteratively constructible if it can be built from an initial labeled graph by means of a repeated fixed succession of elementary operations involving add...
Eldar Fischer, Johann A. Makowsky
CORR
2012
Springer
183views Education» more  CORR 2012»
12 years 3 months ago
Twisting q-holonomic sequences by complex roots of unity
A sequence fn(q) is q-holonomic if it satisfies a nontrivial linear recurrence with coefficients polynomials in q and qn . Our main theorem states that q-holonomicity is preserve...
Stavros Garoufalidis, Christoph Koutschan
NN
2007
Springer
13 years 7 months ago
Recurrent neural network modeling of nearshore sandbar behavior
The temporal evolution of nearshore sandbars (alongshore ridges of sand fringing coasts in water depths less than 10 m and of paramount importance for coastal safety) is commonly ...
Leo Pape, B. Gerben Ruessink, Marco A. Wiering, Ia...
WCC
2005
Springer
197views Cryptology» more  WCC 2005»
14 years 1 months ago
Linear Filtering of Nonlinear Shift-Register Sequences
Nonlinear n-stage feedback shift-register sequences over the finite field Fq of period qn − 1 are investigated under linear operations on sequences. We prove that all members o...
Berndt M. Gammel, Rainer Göttfert