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Development of sn x, cn x, dn x, by means of their addition theorems

Published online by Cambridge University Press:  20 January 2009

J. Jack
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Taking the three addition theorems and clearing away the fractions,

Let

Substitute in (1) (2) (3) the expansions for sinx, siny, cosx, cosy, , dn x, dn y, , and then pick out the coefficients of y in (1), (2), (3). Then equate the like powers of x in the resulting series.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 14 , February 1895 , pp. 35 - 36
Copyright
Copyright © Edinburgh Mathematical Society 1895