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1: 34.6 Definition: Symbol
§34.6 Definition: Symbol
βΊThe symbol may be defined either in terms of symbols or equivalently in terms of symbols: βΊ
34.6.1
βΊ
34.6.2
βΊThe symbol may also be written as a finite triple sum equivalent to a terminating generalized hypergeometric series of three variables with unit arguments.
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2: 34.12 Physical Applications
§34.12 Physical Applications
βΊThe angular momentum coupling coefficients (, , and symbols) are essential in the fields of nuclear, atomic, and molecular physics. …, and symbols are also found in multipole expansions of solutions of the Laplace and Helmholtz equations; see Carlson and Rushbrooke (1950) and Judd (1976).3: 16.7 Relations to Other Functions
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βΊFor , , symbols see Chapter 34.
Further representations of special functions in terms of functions are given in Luke (1969a, §§6.2–6.3), and an extensive list of functions with rational numbers as parameters is given in Krupnikov and Kölbig (1997).
4: 16.24 Physical Applications
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βΊ
§16.24(iii) , , and Symbols
βΊThe symbols, or Clebsch–Gordan coefficients, play an important role in the decomposition of reducible representations of the rotation group into irreducible representations. They can be expressed as functions with unit argument. …These are balanced functions with unit argument. Lastly, special cases of the symbols are functions with unit argument. …5: 9 Airy and Related Functions
Chapter 9 Airy and Related Functions
…6: 15.3 Graphics
7: 34 3j, 6j, 9j Symbols
Chapter 34 Symbols
…8: 34.14 Tables
§34.14 Tables
βΊTables of exact values of the squares of the and symbols in which all parameters are are given in Rotenberg et al. (1959), together with a bibliography of earlier tables of , and symbols on pp. … βΊSome selected symbols are also given. … 16-17; for symbols on p. … βΊ 310–332, and for the symbols on pp. …9: 16.10 Expansions in Series of Functions
§16.10 Expansions in Series of Functions
… βΊ
16.10.1
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βΊ
16.10.2
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βΊExpansions of the form are discussed in Miller (1997), and further series of generalized hypergeometric functions are given in Luke (1969b, Chapter 9), Luke (1975, §§5.10.2 and 5.11), and Prudnikov et al. (1990, §§5.3, 6.8–6.9).