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Certain Expansions of xn in Hypergeometric Series

Published online by Cambridge University Press:  20 January 2009

F. H. Jackson
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In this paper the following expansion will be obtained:

in which n and r are positive integers. The Series in the square brackets are Hypergeometric Series with a finite number of terms.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 15 , February 1896 , pp. 90 - 96
Copyright
Copyright © Edinburgh Mathematical Society 1896