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 $\textbf{R}^n$ is represented by a hyperelliptic integral.
Primary Language | English |
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Subjects | Real and Complex Functions (Incl. Several Variables) |
Journal Section | Articles |
Authors | |
Early Pub Date | February 6, 2024 |
Publication Date | March 15, 2024 |
Submission Date | December 19, 2023 |
Acceptance Date | February 1, 2024 |
Published in Issue | Year 2024 Volume: 7 Issue: 1 |