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Computational algebraic analysis methods in Clifford analysis
Author(s) -
Sabadini Irene,
Struppa Daniele C.
Publication year - 2002
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.379
Subject(s) - algebraic analysis , algebra over a field , clifford algebra , mathematics , clifford analysis , algebraic number , class (philosophy) , computer science , pure mathematics , artificial intelligence , mathematical analysis , differential algebraic equation , ordinary differential equation , differential equation , dirac operator
Recent advances in Computer Algebra have made it possible the study of algebraic analysis in an explicit and computational way. In this paper we show how these ideas have allowed the solution of a new class of problems in Clifford analysis and we describe the computational techniques that we have to develop to this purpose. Copyright © 2002 John Wiley & Sons, Ltd.