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A further Extension of a result of Mordell's

✍ Scribed by J. Chidambara Swamy; N. Venkateswara Rao

Publisher
Springer
Year
1961
Tongue
English
Weight
418 KB
Volume
142
Category
Article
ISSN
0025-5831

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As an incidental result of a study by Ainsworth and Liu (l), the following identity was obtained : s ' (l-~)~ ln(l-x)P,\_,(x)dx = 2P( -l)p+"[(p-l)!]"(n-p-l)! (n+p-l)! ( 1) where P,\_ 1(x) is the Legendre polynomial of degree (n -l), and p is an integer such that 1 d p < n. However, since the integr