Page 702 - Handbook Of Integral Equations

Expansion into power series

1 x 3 1 ⋅ 3 x 5 1 ⋅ 3 ⋅ 5 x 7
Arsinh x = x – + – + ··· (|x| < 1),
2 3 2 ⋅ 4 5 2 ⋅ 4 ⋅ 6 7
x 3 x 5 x 7
Artanh x = x + + + + ··· (|x| < 1).
3 5 7
•
References for Supplement 1: H. B. Dwight (1961), M. Arbramowitz and I. A. Stegun (1964), G. A. Korn and T. M. Korn
(1968), W. H. Beyer (1991).

© 1998 by CRC Press LLC

© 1998 by CRC Press LLC
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