October 1873, he arrived to Paris, where soon acquainted Darboux, Joseph Liouville, Charles Auguste Briot, Jean Claude Bouquet, and several other prominent...
16 KB (1,792 words) - 15:55, 10 August 2024
function Mittag-Leffler (1876). "En metod att analytiskt framställa en funktion af rational karakter, hvilken blir oändlig alltid och endast uti vissa...
6 KB (1,117 words) - 13:15, 3 July 2024
Joseph Liouville studied eigenvalue problems similar to those of Sturm; the discipline that grew out of their work is now called Sturm–Liouville theory...
102 KB (13,603 words) - 06:05, 19 August 2024
x}{\frac {\lambda (n)}{n}}\geq 0{\text{ for }}x>0,} where λ(n) is the Liouville function given by (−1)r if n has r prime factors. He showed that this...
126 KB (16,757 words) - 09:04, 21 August 2024
(although, because of his death, his papers were published only in 1846, by Liouville), William Rowan Hamilton's description of quaternions in 1843, and Arthur...
127 KB (14,690 words) - 09:15, 23 August 2024
{x}{\log ^{\pi }(x)}}\right).\end{aligned}}} Perron's formula Liouville's function Davenport, H. (November 1937). "On Some Infinite Series Involving...
16 KB (2,312 words) - 16:43, 5 August 2024