Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (6)
- Authors
- Stepanova, Maria A.
- Contact information
- Stepanova, Maria A.: Steklov Mathematical Institute RAS Gubkina, 8, Moscow, 119991 Russia;
- Keywords
- analytical complexity; integration; finite complexity functions
- Abstract
It is shown that the class of all functions of two variables of finite analytical complexity is not closed under integration. It also follows that the class of all functions of finite analytical complexity in the case of three or more variables is not closed under integration. For the case of three or more variables explicit examples of finite complexity functions with infinite complexity antiderivatives are constructed
- Pages
- 694–698
- DOI
- 10.17516/1997-1397-2019-12-6-694-698
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/127025
Journal of Siberian Federal University. Mathematics & Physics / On Analytical Complexity of Antiderivatives
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