1. What contributions have the authors mentioned in the paper "Solving linear recurrence equations" ?
In this paper, the authors present an implementation of the algorithms in [ 1 ], [ 2 ], and [ 3 ].
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Solving linear recurrence equations
TL;DR: The software is an implementation of the algorithms in [1], [2], and [3], where the main algorithm is implemented with additional base equations beyond what appear in [3] and is incorporated into [4].
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Abstract: The software is an implementation of the algorithms in [1], [2], and [3]. The main algorithm from [3] is implemented with additional base equations beyond what appear in [3] and is incorporated into [4]. Common to each algorithm is a transformation from a base equation to the input using transformations that preserve order and homogeneity (referred to as gt-transformations).
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Stacked polytopes and tight triangulations of manifolds
TL;DR: In this paper, it was shown that in any dimension d>=4, tight-neighborly triangulations as defined by Lutz, Sulanke and Swartz are tight.
References
•Journal Article
The On-Line Encyclopedia of Integer Sequences.
TL;DR: The On-Line Encyclopedia of Integer Sequences (OEIS) as mentioned in this paper is a database of 13,000 number sequences and is freely available on the Web (http://www.att.com/~njas/sequences/) and is widely used.
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•Posted Content
The On-Line Encyclopedia of Integer Sequences
TL;DR: The On-Line Encyclopedia of Integer Sequences (OEIS) as discussed by the authors provides a history of the OEIS and discusses recent sequences involving interesting unsolved problems and in many cases spectacular illustrations, such as Peaceable Queens, circles in the plane, the earliest cube-free binary sequence, the EKG and Yellowstone permutations, other lexicographically earliest sequences, iteration of number-theoretic functions, home primes and power trains, a memorable prime, a missing prime, Post's tag system, and coordination sequences.
The On-Line Encyclopedia of Integer Sequences
Neil J. A. Sloane
- 27 Jun 2007
TL;DR: The On-Line Encyclopedia of Integer Sequences (or OEIS) is a database of some 130000 number sequences which serves as a dictionary, to tell the user what is known about a particular sequence and is widely used.
Liouvillian solutions of irreducible second order linear difference equations
Mark van Hoeij,Giles Levy +1 more
- 25 Jul 2010
TL;DR: A new algorithm to compute Liouvillian solutions of linear difference equations for irreducible second order equations is given; the number of combinations is 1.
Solving recurrence relations using local invariants
Yongjae Cha,Mark van Hoeij,Giles Levy +2 more
- 25 Jul 2010
TL;DR: This paper solves the problem of finding closed form solutions for linear recurrence equations by transforming an input equation to an equation with known solutions, by computing local data at singularities, data that remains invariant under the transformations used.