A TABLE OF THE COMPLETE ELLIPTIC INTEGRAL OF THE FIRST KIND FOR COMPLEX VALUES OF THE MODULUS:  III.  AUXILIARY TABLES.

Fettis, Henry E.; Caslin, James C.

A TABLE OF THE COMPLETE ELLIPTIC INTEGRAL OF THE FIRST KIND FOR COMPLEX VALUES OF THE MODULUS: III. AUXILIARY TABLES.

Active / Technical Report | Accession Number: AD0709681 |

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Abstract:

The report contains tables of the following FR,theta KR,theta - 1 2pi K R,theta ln 4Rho - 1 i phi, FR,theta KR,theta - 1 2pi KR,theta ln 4R 1 - i theta together with K, K and their second central differences. In the above , KR is the complete elliptic integral of the first kind with modulus R Re supi theta and Kk identical with the square root of 1-k squared - rho e sup -i phi. These functions have the property that they are interpolatable in the regions tabulated, namely R between .7 and 1, theta between 0 and 10 degrees and R between 0 and .35, theta between 0 and 90 degrees. Author

Author(s):

Fettis, Henry E. ; Caslin, James C.

Author Organization(s):

AEROSPACE RESEARCH LABS WRIGHT-PATTERSON AFB OHIO

Descriptive Note:

Final rept.,

Supplementary Note:

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:

Approved For Public Release

RECORD

Collection: TR

Identifying Numbers

Report Number(s):

ARL-70-0081

Task Number(s):

707100

Project Number(s):

AF-7071

Subject Terms

Communities of Interest:

No COI(s) Identified

Descriptor(s):

(*MEROMORPHIC FUNCTIONS, TABLES(DATA)), SPECIAL FUNCTIONS(MATHEMATICAL), COMPLEX VARIABLES, INTEGRALS

Field(s)/Group(s):

Numerical Mathematics

Keyword(s):

*ELLIPTIC FUNCTIONS, *ELLIPTIC INTEGRALS

Report Date:

1970 May 01