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- Title
On some general integral formulae.
- Authors
ORTNER, NORBERT; WAGNER, PETER
- Abstract
We repeat and reformulate some more or less known general integral formulae and deduce from them some applications in a concise way. We then present some general double integral formulae which play an essential role in the calculation of fundamental solutions to homogeneous elliptic operators. In particular, this yields generalizations of definite integrals found in standard integral tables. In the final section, the area of an ellipsoidal hypersurface in Rn is represented by a hyperelliptic integral.
- Subjects
INTEGRALS; MATHEMATICAL formulas; ELLIPTIC operators; HYPERSURFACES; PARTIAL differential operators
- Publication
Constructive Mathematical Analysis, 2024, Vol 7, Issue 1, p1
- ISSN
2651-2939
- Publication type
Article
- DOI
10.33205/cma.1406998