On a double series
arXiv:2511.12519
Abstract
We shall investigate and arrive at a certain functional property of the double series \[ \sum\limits_{n,r\geq 1}\frac{1}{\sqrt{x^2n^2+r^2+w^2}\left( e^{2 Ïy\sqrt{x^2n^2+r^2+w^2}}-1\right)}. \]
arXiv:2511.12519
We shall investigate and arrive at a certain functional property of the double series \[ \sum\limits_{n,r\geq 1}\frac{1}{\sqrt{x^2n^2+r^2+w^2}\left( e^{2 Ïy\sqrt{x^2n^2+r^2+w^2}}-1\right)}. \]