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1: 34.6 Definition: Symbol
2: 34.7 Basic Properties: Symbol
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34.7.1
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►Odd permutations of columns or rows introduce a phase factor , where is the sum of all arguments of the symbol.
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34.7.2
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34.7.4
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34.7.5
3: 12 Parabolic Cylinder Functions
Chapter 12 Parabolic Cylinder Functions
…4: 4.17 Special Values and Limits
5: 32.3 Graphics
6: 23.17 Elementary Properties
7: 10.48 Graphs
8: Staff
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William P. Reinhardt, University of Washington, Chaps. 20, 22, 23
Nico M. Temme, Centrum Wiskunde Informatica, Chaps. 3, 6, 7, 12
Peter L. Walker, American University of Sharjah, Chaps. 20, 22, 23
William P. Reinhardt, University of Washington, for Chaps. 20, 22, 23
Nico M. Temme, Centrum Wiskunde & Informatica (CWI), for Chaps. 3, 6, 7, 12
9: 5.23 Approximations
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►Cody and Hillstrom (1967) gives minimax rational approximations for for the ranges , , ; precision is variable.
Hart et al. (1968) gives minimax polynomial and rational approximations to and in the intervals , , ; precision is variable.
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►For additional approximations see Hart et al. (1968, Appendix B), Luke (1975, pp. 22–23), and Weniger (2003).
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►Clenshaw (1962) also gives 20D Chebyshev-series coefficients for and its reciprocal for .
See Luke (1975, pp. 22–23) for additional expansions.
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10: 27.2 Functions
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►Functions in this section derive their properties from the fundamental
theorem of arithmetic, which states that every integer can be represented uniquely as a product of prime powers,
…( is defined to be 0.)
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►If , then the Euler–Fermat theorem states that
…Note that .
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►Table 27.2.2 tabulates the Euler totient function , the divisor function (), and the sum of the divisors (), for .
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