Document Zbl 0819.68070

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A parallel algorithm for the Hadamard product of holonomic formal series. (English) Zbl 0819.68070

Int. J. Algebra Comput. 4, No. 4, 561-573 (1994).

Summary: We consider the class of the holonomic formal series and we study how, given two linear differential equations with polynomial coefficients verified by two holonomic series \(\phi_ 1\) and \(\phi_ 2\), it is possible to compute a linear differential equation satisfied by the Hadamard product of \(\phi_ 1\) and \(\phi_ 2\). We give a parallel algorithm for this problem and we show that it belongs to NC\(^ 2\).

MSC:

68W30	Symbolic computation and algebraic computation
68W15	Distributed algorithms
47F05	General theory of partial differential operators

Keywords:

holonomic formal series; parallel algorithm

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