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Reinhold Burger, George Labahn and Mark van Hoeij- Closed Form Solutions of Linear Odes having...
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Transcript of Reinhold Burger, George Labahn and Mark van Hoeij- Closed Form Solutions of Linear Odes having...
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Closed Form Solutions of Linear Odes havingElliptic Function Coefficients
Reinhold BurgerSymbolic Computation GroupSchool of Computer Science
University of WaterlooWaterloo, Ontario, Canada
George LabahnSymbolic Computation GroupSchool of Computer Science
University of WaterlooWaterloo, Ontario, Canada
Mark van Hoeij
Department of MathematicsFlorida State University
Tallahassee, Florida, USA
ABSTRACT
Categories and Subject Descriptors
General Terms
Keywords
1. INTRODUCTION
Permission to make digital or hard copies of all or part of this work forpersonal or classroom use is granted without fee provided that copies arenot made or distributed for profit or commercial advantage and that copiesbear this notice and the full citation on the first page. To copy otherwise, torepublish, to post on servers or to redistribute to lists, requires prior specificpermission and/or a fee.ISSAC04, July 47, 2004, Santander, Spain.Copyright 2004 ACM 1-58113-827-X/04/0007 ... 5.00.
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2. PRELIMINARIES
2.1 Elliptic Function Solutions of ArbitraryOrder Equations
2.2 Doubly-periodic Solutions of the SecondKind
2.3 Fundamental Bases
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3. SOLVING 2ND ORDER EQUATIONSVIA SYMMETRIC POWERS
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4. SOLVING 2ND ORDER EQUATIONS
VIA DIFFERENTIAL FACTORIZATION
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5. CONCLUSION
6. REFERENCES
