An explicit addition formula for the inverse Jacobian elliptic functions

Fettis, Henry E.

doi:10.1090/S0025-5718-1972-0314234-9

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

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An explicit addition formula for the inverse Jacobian elliptic functions
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by Henry E. Fettis PDF

Math. Comp. 26 (1972), 965-967 Request permission

Corrigendum: Math. Comp. 27 (1973), 683.
Corrigendum: Math. Comp. 27 (1973), 683.

Abstract:

An explicit addition formula is derived for the inverse sine-amplitude function. This is used to obtain an explicit formula for the inverse sine-amplitude function with complex argument.

References

Paul F. Byrd and Morris D. Friedman, Handbook of elliptic integrals for engineers and scientists, Die Grundlehren der mathematischen Wissenschaften, Band 67, Springer-Verlag, New York-Heidelberg, 1971. Second edition, revised. MR 0277773