A 20-D table of Jacobi's nome and its inverse /
Henry E. Fettis, James C. Caslin.

Description

Main Author

Fettis, Henry E.

Related Names

Caslin, James C., author.
Aerospace Research Laboratories (U.S.)

Language(s)

English

Published

Wright-Patterson Air Force Base, Ohio : Aeronautical Research Laboratory, Office of Aerospace Research, United States Air Force, 1969.

Subjects

Transcendental functions.
Jacobi operators.
Functions, Meromorphic.
Transcendental functions.
Jacobi operators.
Functions, Meromorphic > Functions, Meromorphic / Tables.
Tables.

Summary

Jacobi's Nome q is given to twenty decimals as a function of the modulus-squared, k squared, the modular angle arc sin k, and the complementary modulus k' for k squared : 0(.001) 999; arc sin k : 0(.10) 89 degrees (.01) 89.99 degrees (.0002) 90 degrees; k' : 0001(.0001).02. The latter table also gives values of an approximation valid in this range to the order of (k') squared, as well as the ratio of the true and approximate values and second central differences of the latter ratio. The fourth table gives k and k' as functions of q for q = 0(.001).5.

Note

Research supported by the Aeronautical Research Laboratory, Office of Aerospace Research, United States Air Force and performed by the Applied Mathematics Research Laboratory.
Contains a two page errata sheet.
Document is chiefly tables.
AD0690115. (from http://www.dtic.mil).
"March 1969."

Physical Description

[2], iv, 30 pages : tables ; 28 cm.

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