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mr. w.h.l. russell on the theory of definite integrals.
171
Hence we have |
Hence |
But we may effect these reductions systematically by means of the following proposition due to M. Smaasen:—
If | ||
and | ||
then |
M. Smaasen has also proved in the same paper, that if the sums of the three series
are known, we may determine the sum of the series
by means of a double integral, but we shall not want this in what follows.
Now |
consequently |
Now |