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A Series Identity

Published online by Cambridge University Press:  31 October 2008

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In connection with some work on the theory of probable errors, the following series identity arose:—

where a is a positive integer.

As the main interest of this identity appears to lie in itself and in the method of proof, and not in its connection with the theory of probable errors, it seems worth while to record it separately.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1935

References

1 Whittaker, and Watson, . Modern Analysis (Ed. 4, 1927), p. 282.Google Scholar