On Symmetric Powers of Di erential Operators
نویسندگان
چکیده
We present alternative algorithms for computing symmetric powers of linear ordinary diierential operators. Our algorithms are applicable to operators with coeecients in arbitrary integral domains and become faster than the traditional methods for symmetric powers of suuciently large order, or over suuciently complicated coeecient domains. The basic ideas are also applicable to other computations involving cyclic vector techniques, such as exterior powers of diierential or diierence operators.
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