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