The Collected Mathematical Papers of Arthur Cayley volume 1

Cover The Collected Mathematical Papers of Arthur Cayley volume 1
The Collected Mathematical Papers of Arthur Cayley volume 1
Arthur Cayley
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A present, soit ou s est un nombre entier ; je pose, pour abreger, \n s = i, k +f+ s = a, ce qui donne r (p + k et ainsi Le cas de cr = 0, qui est le plus simple, est, en effet, celui du Memoire cite, et a ce cas on peut reduire celui de cr entier negatif; il y a meme deux manieres d effectuer cette reduction. Representons, en effet, la valeur de U par cette notation plus complete Ui ; on obtient tout de suite . /I d TT a 9~ -f /2cr 21 _ Ui (t dt a4- JT. V
...la seconde desquelles equations se deduit de cette formule facile a demontrer, -L ?\n r -iT-^r* 1 1~ r o i \i-a- L" "J L" "J /, 21 \j k tV -(- . .. ) V"l ~r / Nous pouvons done, dans la suite, ne consideYer que le cas de cr entier positif.
Commencons par operer la transformation que voici ; en determinant par I e quation 28] SUE, QUELQUES INTEGRALES MULTIPLES. 199 je pose ce qui donne =, +... , ou il faut remarquer que ce, contenu en V, ne doit pas etre affecte des symboles . De V, de maniere qu il faut dcrire fo 8 +...


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