spherical%20triangles
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21—30 of 182 matching pages
21: Bibliography G
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Algorithm 726: ORTHPOL — a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules.
ACM Trans. Math. Software 20 (1), pp. 21–62.
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Some integrals involving three Bessel functions when their arguments satisfy the triangle inequalities.
J. Math. Phys. 25 (11), pp. 3350–3356.
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Algorithm 939: computation of the Marcum Q-function.
ACM Trans. Math. Softw. 40 (3), pp. 20:1–20:21.
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On the exceptional zeros of cross-products of derivatives of spherical Bessel functions.
Z. Angew. Math. Phys. 36 (3), pp. 491–494.
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Mutual integrability, quadratic algebras, and dynamical symmetry.
Ann. Phys. 217 (1), pp. 1–20.
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22: 18.1 Notation
23: 6.10 Other Series Expansions
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§6.10(ii) Expansions in Series of Spherical Bessel Functions
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6.10.4
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6.10.5
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6.10.6
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6.10.8
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24: Sidebar 9.SB2: Interference Patterns in Caustics
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►The bright sharp-edged triangle is a caustic, that is a line of focused light.
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25: 34.10 Zeros
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►In a symbol, if the three angular momenta do not satisfy the triangle conditions (34.2.1), or if the projective quantum numbers do not satisfy (34.2.3), then the symbol is zero.
Similarly the symbol (34.4.1) vanishes when the triangle conditions are not satisfied by any of the four symbols in the summation.
…However, the and symbols may vanish for certain combinations of the angular momenta and projective quantum numbers even when the triangle conditions are fulfilled.
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26: 10.59 Integrals
§10.59 Integrals
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10.59.1
►where is the Legendre polynomial (§18.3).
►For an integral representation of the Dirac delta in terms of a product of spherical Bessel functions of the first kind see §1.17(ii), and for a generalization see Maximon (1991).
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27: 30.10 Series and Integrals
28: 7.6 Series Expansions
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§7.6(ii) Expansions in Series of Spherical Bessel Functions
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7.6.8
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7.6.9
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7.6.10
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7.6.11
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