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Triangle Coefficient


The triangle coefficient is function of three variables written Delta(abc)=Delta(a,b,c) and defined by

 Delta(abc)=((a+b-c)!(a-b+c)!(-a+b+c)!)/((a+b+c+1)!),

(Shore and Menzel 1968, p. 273), where z! is a factorial. It arises for example in the definition of the Wigner 6j-symbol.


See also

Wigner 6j-Symbol

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References

Messiah, A. Quantum Mechanics, Vol. 2. Amsterdam, Netherlands: North-Holland, p. 1058, 1962.Shore, B. W. and Menzel, D. H. Principles of Atomic Spectra. New York: Wiley, 1968.

Referenced on Wolfram|Alpha

Triangle Coefficient

Cite this as:

Weisstein, Eric W. "Triangle Coefficient." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TriangleCoefficient.html

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