Using Grobner bases for finding the logarithmic part of the integral of transcendental functions

作者：Raab Clemens G^*

来源：Journal of Symbolic Computation, 2012, 47(10): 1290-1296.

DOI：10.1016/j.jsc.2011.12.045

• Symbolic integration
• Elementary integral
• Differential algebra
• Grobner basis
• Special Functions

We show that Czichowski%26apos;s 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.

• 出版日期2012-10