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.
Leray’s formula elliptic integrals definite double integrals
Birincil Dil | İngilizce |
---|---|
Konular | Reel ve Kompleks Fonksiyonlar |
Bölüm | Makaleler |
Yazarlar | |
Erken Görünüm Tarihi | 6 Şubat 2024 |
Yayımlanma Tarihi | 15 Mart 2024 |
Gönderilme Tarihi | 19 Aralık 2023 |
Kabul Tarihi | 1 Şubat 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 7 Sayı: 1 |