generalized precision
(0.002 seconds)
1—10 of 49 matching pages
1: 4.48 Software
§4.48(iii) General Precision
…2: 3.1 Arithmetics and Error Measures
3: 28.35 Tables
Blanch and Clemm (1962) includes values of and for with , . Also and for with , . Precision is generally 7D.
Blanch and Clemm (1965) includes values of , for , ; , . Also , for , ; , . In all cases . Precision is generally 7D. Approximate formulas and graphs are also included.
National Bureau of Standards (1967) includes the eigenvalues , for with , and with ; Fourier coefficients for and for , , respectively, and various values of in the interval ; joining factors , for with (but in a different notation). Also, eigenvalues for large values of . Precision is generally 8D.
4: 19.35 Other Applications
§19.35(i) Mathematical
►Generalizations of elliptic integrals appear in analysis of modular theorems of Ramanujan (Anderson et al. (2000)); analysis of Selberg integrals (Van Diejen and Spiridonov (2001)); use of Legendre’s relation (19.7.1) to compute to high precision (Borwein and Borwein (1987, p. 26)). …5: Software Index
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4.48(iii) General Precision | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | a | REDUCE | |||||||||||||||
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6: Bibliography R
7: Bibliography
8: 9.18 Tables
Miller (1946) tabulates , for , for ; , for ; , for ; , , , (respectively , , , ) for . Precision is generally 8D; slightly less for some of the auxiliary functions. Extracts from these tables are included in Abramowitz and Stegun (1964, Chapter 10), together with some auxiliary functions for large arguments.