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1: DLMF Project News
error generating summary2: 34.6 Definition: Symbol
§34.6 Definition: Symbol
►The symbol may be defined either in terms of symbols or equivalently in terms of symbols: ►
34.6.1
►
34.6.2
►The symbol may also be written as a finite triple sum equivalent to a terminating generalized hypergeometric series of three variables with unit arguments.
…
3: 34.7 Basic Properties: Symbol
§34.7 Basic Properties: Symbol
… ►§34.7(ii) Symmetry
… ►Odd permutations of columns or rows introduce a phase factor , where is the sum of all arguments of the symbol. … ►§34.7(iv) Orthogonality
… ►§34.7(vi) Sums
…4: 12 Parabolic Cylinder Functions
Chapter 12 Parabolic Cylinder Functions
…5: 4.17 Special Values and Limits
6: 32.3 Graphics
7: 34.9 Graphical Method
§34.9 Graphical Method
… ►For specific examples of the graphical method of representing sums involving the , and symbols, see Varshalovich et al. (1988, Chapters 11, 12) and Lehman and O’Connell (1973, §3.3).8: 10.48 Graphs
9: 28.16 Asymptotic Expansions for Large
10: 34.1 Special Notation
…
►The main functions treated in this chapter are the Wigner symbols, respectively,
…
►
►An often used alternative to the symbol is the Clebsch–Gordan coefficient
…see Edmonds (1974, p. 46, Eq. (3.7.3)) and Rotenberg et al. (1959, p. 1, Eq. (1.1a)).
For other notations for , , symbols, see Edmonds (1974, pp. 52, 97, 104–105) and Varshalovich et al. (1988, §§8.11, 9.10, 10.10).