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The Quarterly Journal of Mechanics and Applied Mathematics 1956 9(2):249-256; doi:10.1093/qjmam/9.2.249
© 1956 by Oxford University Press
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CENTRAL DIFFERENCE AND OTHER FORMS OF THE EULER TRANSFORMATION

P. WYNN

( National Physical Laboratory Teddington, Middlesex )

The central difference forms of the Euler transformation

Formula

and

Formula

are developed by means of the lozenge diagram from the forward difference form. The latter formula is intended for use with asymptotic series whose terms alternate in sign, and to this end a table of the coefficients of the central and mean central differences in this formula is given.


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