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1: 34.3 Basic Properties: $\mathit{3}j$ Symbol

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§34.3(vii) Relations to Legendre Polynomials and Spherical Harmonics

… ►Equations (34.3.19)–(34.3.22) are particular cases of more general results that relate rotation matrices to $\mathit{3}j$ symbols, for which see Edmonds (1974, Chapter 4). …

2: 18.38 Mathematical Applications

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3: 16.24 Physical Applications

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§16.24(iii) $\mathit{3}j$, $\mathit{6}j$, and $\mathit{9}j$ Symbols

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4: Joris Van der Jeugt

… ►His research interests are in the following areas: Group theoretical methods in physics; Representation theory of Lie algebras, Lie superalgebras and quantum groups with applications in mathematical physics; 3 $nj$-symbols and their relations to special functions and orthogonal polynomials; Quantum theory, finite quantum systems, quantum oscillator models, Wigner quantum systems; and Parabosons, parafermions and generalized quantum statistics. …

5: 16.4 Argument Unity

… ►See Raynal (1979) for a statement in terms of $\mathit{3}j$ symbols (Chapter 34). … ► …

6: 16.7 Relations to Other Functions

§16.7 Relations to Other Functions

… ►For $\mathit{3}j$, $\mathit{6}j$, $\mathit{9}j$ symbols see Chapter 34. …

7: Bibliography M

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Chebyshev expansions for modified Struve and related functions. Math. Comp. 60 (202), pp. 735–747.

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ISSN 0025-5718, FullText, MathReview, ZentralBlatt

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2nd item.

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Algorithm 757: MISCFUN, a software package to compute uncommon special functions. ACM Trans. Math. Software 22 (3), pp. 288–301.

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Notes:

Double-precision Fortran, maximum accuracy 20D.

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ISSN 0098-3500, Document, GAMS (module 757; package TOMS), MathReview Entry, ZentralBlatt

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5th item, 1st item, 1st item, 4th item, 1st item, 1st item.

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Connection between quantum systems involving the fourth Painlevé transcendent and $k$-step rational extensions of the harmonic oscillator related to Hermite exceptional orthogonal polynomial. J. Math. Phys. 57 (5), pp. Paper 052101, 15 pp..

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ISSN 0022-2488, Document, Link, MathReview Entry

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§18.38(iii).

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Recursion relations for the $3$-$j$ symbols. Nuclear Physics A 113 (1), pp. 215–220.

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Document

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§34.3(iii).

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Evaluation of complex logarithms and related functions. SIAM J. Numer. Anal. 18 (4), pp. 744–750.

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ISSN 0036-1429, Document, MathReview (M. Brannigan), ZentralBlatt

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§4.45(ii).

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8: 34.5 Basic Properties: $\mathit{6}j$ Symbol

§34.5 Basic Properties: $\mathit{6}j$ Symbol

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§34.5(ii) Symmetry

… ►Additional symmetries are obtained by applying (34.5.8) to (34.5.9) and (34.5.10). … ►

§34.5(iii) Recursion Relations

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§34.5(iv) Orthogonality

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9: 10 Bessel Functions

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10: Bibliography F

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On the reciprocal modulus relation for elliptic integrals. SIAM J. Math. Anal. 1 (4), pp. 524–526.

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Document, MathReview (B. C. Carlson), ZentralBlatt

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§19.7(i).

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Asymptotic expansions of a class of hypergeometric polynomials with respect to the order. II. J. Math. Anal. Appl. 7 (3), pp. 440–451.

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Document, MathReview (L. J. Slater), ZentralBlatt

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§16.11(iii).

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Asymptotic expansions of a class of hypergeometric polynomials with respect to the order. J. Math. Anal. Appl. 6 (3), pp. 394–403.

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Document, MathReview (L. J. Slater), ZentralBlatt

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§16.11(iii).

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Asymptotic expansions of a class of hypergeometric polynomials with respect to the order. III. J. Math. Anal. Appl. 12 (3), pp. 593–601.

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Document, MathReview (M. J. O. Strutt), ZentralBlatt

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§16.11(iii).

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The Edmonds asymptotic formulas for the $3j$ and $6j$ symbols. J. Math. Phys. 39 (7), pp. 3906–3915.

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ISSN 0022-2488, Document, MathReview (A. J. Coleman), ZentralBlatt

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§34.8.

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