Using Gr枚bner bases for finding the logarithmic part of the integral of transcendental functions

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• 作者：Clemens G. Raab ^{clemens.raab@risc.jku.at}
• 关键词：Symbolic integration ; Elementary integral ; Differential algebra ; Grö ; bner basis ; Special Functions
• 刊名：Journal of Symbolic Computation
• 出版年：2012
• 期刊代码：140_07477171
• 类别：cp
• 出版时间：October, 2012
• 卷：47
• 期：10
• 页码：1290-1296
• 文件大小：224 K

摘要

We show that Czichowski鈥檚 algorithm for computing the logarithmic part of the integral of a rational function can be carried over to a rather general class of transcendental functions. Also an asymptotic bound on the number of field operations needed is given.