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1: 34.2 Definition: Symbol
§34.2 Definition: Symbol
►The quantities in the symbol are called angular momenta. …They therefore satisfy the triangle conditions …where is any permutation of . The corresponding projective quantum numbers are given by …2: 22.9 Cyclic Identities
3: 34.3 Basic Properties: Symbol
§34.3 Basic Properties: Symbol
… ►§34.3(ii) Symmetry
… ►§34.3(iv) Orthogonality
… ►§34.3(vi) Sums
… ►4: 9.10 Integrals
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9.10.14
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9.10.15
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►For further integrals, including the Airy transform, see §9.11(iv), Widder (1979), Prudnikov et al. (1990, §1.8.1), Prudnikov et al. (1992a, pp. 405–413), Prudnikov et al. (1992b, §4.3.25), Vallée and Soares (2010, Chapters 3, 4).
5: 4.43 Cubic Equations
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(a)
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(b)
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(c)
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4.43.2
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, , and , with , when .
, , and , with , when , , and .
, , and , with , when .
6: 36.9 Integral Identities
7: 9.5 Integral Representations
8: 1.11 Zeros of Polynomials
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►Set to reduce to , with , .
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►Addition of to each of these roots gives the roots of .
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, , , .
Roots of are , , .
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►Set to reduce to
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9: 19.32 Conformal Map onto a Rectangle
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►with real constants, has differential
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►As proceeds along the entire real axis with the upper half-plane on the right, describes the rectangle in the clockwise direction; hence is negative imaginary.
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19.32.2
; , .
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