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» Differential equations for algebraic functions
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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
AISC
2004
Springer
13 years 11 months ago
Four Approaches to Automated Reasoning with Differential Algebraic Structures
While implementing a proof for the Basic Perturbation Lemma (a central result in Homological Algebra) in the theorem prover Isabelle one faces problems such as the implementation o...
Jesús Aransay, Clemens Ballarin, Julio Rubi...
FECS
2006
159views Education» more  FECS 2006»
13 years 8 months ago
Evolving Mathematical Functions with Genetic Algorithms - A Team Project on Artificial Intelligence
- In contrast to most of the senior level Artificial Intelligence (AI) courses where AI is taught in the jargon of theoretical computer science with crowd of complex matrix algebra...
Zhiguang Xu, Chris Neasbitt, Jared Summers, Bill C...
CSC
2008
13 years 8 months ago
The Dirichlet problem for the Laplace equation in a starlike domain
Many applications of Mathematical Physics and Engineering are connected with the Laplacian, however, the most part of BVP relevant to the Laplacian are solved in explicit form onl...
Diego Caratelli, Paolo Emilio Ricci
TCS
2008
13 years 7 months ago
Solving difference equations whose coefficients are not transcendental
We consider a large class of sequences, called admissible sequences, which are defined by systems of (possibly nonlinear) difference equations. A procedure for recursively enumera...
Manuel Kauers