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Integration of a class of transcendental Liouvillian functions with error-functions. I - MaRDI portal

Integration of a class of transcendental Liouvillian functions with error-functions. I (Q1198245)

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scientific article; zbMATH DE number 92595
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Integration of a class of transcendental Liouvillian functions with error-functions. I
scientific article; zbMATH DE number 92595

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    Integration of a class of transcendental Liouvillian functions with error-functions. I (English)
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    16 January 1993
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    This paper gives an algorithm to determine if an element of a certain class of transcendental Liouvillian functions has an integral built up from elementary functions and error-functions and to compute this integral if it exists. The results extend \textit{G. Cherry}'s results [J. Symb. Comput. 1, 283-302 (1985; Zbl 0586.68030)]. The algorithm given here handles integrals of functions not handled by Cherry's algorithm.
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    symbolic integration
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    algorithm
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    transcendental Liouvillian functions
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    elementary functions
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    error-functions
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