Two questions often come up when the author discusses integration: what is the complexity of the integration process, and for what special values of parameters is an unintegrable function actually integrable. These questions have not been much considered in the formal literature, and where they have been, there is one recent development indicating that the question is more delicate than had been supposed.
|Title of host publication||Mathematical Software - ICMS 2016|
|Subtitle of host publication||5th International Conference, Berlin, Germany, July 11-14, 2016, Proceedings|
|Editors||G-M. Greuel, T. Koch, P. Paule, A. Sommese|
|Publication status||Published - Jul 2016|
|Name||Lecture Notes in Computer Science|
Davenport, J. (2016). Complexity of integration, special values, and recent developments. In G-M. Greuel, T. Koch, P. Paule, & A. Sommese (Eds.), Mathematical Software - ICMS 2016: 5th International Conference, Berlin, Germany, July 11-14, 2016, Proceedings (pp. 485-491). (Lecture Notes in Computer Science; Vol. 9725). Springer Verlag. https://doi.org/10.1007/978-3-319-42432-3_62