On the sets of generalized hypergeometric functions and the Regge, Bargmann-Shelepin arrays for the 3-j and 6-j coefficients (Q910876)
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scientific article; zbMATH DE number 4142355
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the sets of generalized hypergeometric functions and the Regge, Bargmann-Shelepin arrays for the 3-j and 6-j coefficients |
scientific article; zbMATH DE number 4142355 |
Statements
On the sets of generalized hypergeometric functions and the Regge, Bargmann-Shelepin arrays for the 3-j and 6-j coefficients (English)
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1989
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The connection between the 3-j and 6-j coefficients to a set of six \({}_ 3F_ 2(A,B,C;D,E;1)\) functions and a set of three (or equivalently a set of four) \({}_ 4F_ 3(A,B,C,D;E,F,C;1)\) functions is used to obtain sets of Regge \(3\times 3\) and Bargmann-Shelepin \(4\times 3\) symbols. This leads to closed form expressions for the polynomial zeros of degree n of these coefficients.
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hypergeometric functions
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3-j and 6-j coefficients
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Regge 3\(\times 3\) and Bargmann-Shelepin 4\(\times 3\) symbols
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closed form
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0.8080838918685913
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0.8057315349578857
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