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11: Bibliography S

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Instantons in QCD. Rev. Modern Phys. 70 (2), pp. 323–425.

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ISSN 0034-6861, Document, MathReview, ZentralBlatt

Referenced by:

§22.19(ii).

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Use of analyticity in the calculation of nonrelativistic scattering amplitudes. Phys. Rev. 167, pp. 1411–1423.

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Document, Link

Referenced by:

(18.40.9), §18.40(ii).

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Variational calculations of scattering. Ann. Phys. 16, pp. 36–50.

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Referenced by:

§18.39(iv).

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Quantum defect theory. Rep. Prog. Phys. 46 (2), pp. 167–257.

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Document

Referenced by:

§33.14(i), §33.22(ii).

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Multiplicative processes and power laws. Phys. Rev. E 57 (4), pp. 4811–4813.

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Document

Referenced by:

§8.24(i).

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12: Bibliography L

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Monotonicity properties of zeros of generalized Airy functions. Z. Angew. Math. Phys. 39 (2), pp. 267–271.

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ISSN 0044-2275, Document, MathReview (Evangelos Ifantis), ZentralBlatt

Referenced by:

§9.13(i).

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Exact computation of the $3$-$j$ and $6$-$j$ symbols. Comput. Phys. Comm. 61 (3), pp. 350–360.

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Notes:

A Fortran program is included.

External Links:

Document, ZentralBlatt

Referenced by:

§34.15.

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Exact computation of the $9$-$j$ symbols. Comput. Phys. Comm. 70 (3), pp. 544–556.

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Notes:

Double-precision Fortran

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ISSN 0010-4655, Document, Code, MathReview

Referenced by:

7th item.

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Einiges über den Integrallogarithmus. Monatsh. Math. Phys. 16 (1), pp. 125–134.

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ISSN 1812-8076, Document, Link, MathReview Entry, ZentralBlatt

Referenced by:

(16.4.2_5).

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New recursion relation for the Clebsch-Gordan coefficients. Phys. Rev. (2) 110 (4), pp. 815–816.

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Document, MathReview, ZentralBlatt

Referenced by:

§34.3(iii).

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13: Bibliography R

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The Associated Classical Orthogonal Polynomials. In Special Functions 2000: Current Perspective and Future Directions (Tempe, AZ), NATO Sci. Ser. II Math. Phys. Chem., Vol. 30, pp. 255–279.

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MathReview (Wadim Zudilin), ZentralBlatt

Referenced by:

§18.30(viii).

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On the definition and properties of generalized $6$-$j$ symbols. J. Math. Phys. 20 (12), pp. 2398–2415.

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ISSN 0022-2488, Document, MathReview (S. Saran), ZentralBlatt

Referenced by:

§16.4(iii), §16.4(iii).

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Integral representations for products of Airy functions. Z. Angew. Math. Phys. 46 (2), pp. 159–170.

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ISSN 0044-2275, Document, MathReview (P. K. Banerji), ZentralBlatt

Referenced by:

§9.11(iii), §9.11(v), §9.11(v), (9.5.6), §9.5(ii).

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Integral representations for products of Airy functions. II. Cubic products. Z. Angew. Math. Phys. 48 (4), pp. 646–655.

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ISSN 0044-2275, Document, MathReview (E. R. Love), ZentralBlatt

Referenced by:

(9.11.16), (9.11.17), §9.11(iii), §9.11(v).

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An extremum property of the $n$-dimensional sphere. J. Phys. A 13 (10), pp. L349–L351.

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ISSN 0305-4470, Document, MathReview

Referenced by:

§5.19(iii).

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14: Bibliography N

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Toda equation and its solutions in special functions. J. Phys. Soc. Japan 65 (6), pp. 1589–1597.

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ISSN 0031-9015, Document, MathReview, ZentralBlatt

Referenced by:

§18.38(ii).

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On the numerical evaluation of the generalised Fermi-Dirac integrals. Comput. Phys. Comm. 76 (1), pp. 48–50.

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ISSN 0010-4655, Document, ZentralBlatt

Referenced by:

§25.18(i).

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Confluent hypergeometric equations and related solvable potentials in quantum mechanics. J. Math. Phys. 41 (12), pp. 7964–7996.

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ISSN 0022-2488, Document, MathReview, ZentralBlatt

Referenced by:

§13.28(i).

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Error bounds and exponential improvement for the asymptotic expansion of the Barnes $G$-function. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 470 (2172), pp. 20140534, 14.

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ISSN 1364-5021, MathReview (Mehdi Hassani), ZentralBlatt

Referenced by:

§5.17, §5.17.

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Evaluation of negative energy Coulomb (Whittaker) functions. Comput. Phys. Comm. 159 (1), pp. 55–62.

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Notes:

Double-precision Fortran-90 code.

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Document, Code

Referenced by:

§33.23(vi), 8th item.

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15: Bibliography

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Asymptotic expansions of spheroidal wave functions. J. Math. Phys. Mass. Inst. Tech. 28, pp. 195–199.

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MathReview (J. G. van der Corput), ZentralBlatt

Referenced by:

§30.9(iii).

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The mathematical physics of rainbows and glories. Phys. Rep. 356 (4-5), pp. 229–365 (English).

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Document, FullText, ZentralBlatt

Referenced by:

§9.16, §9.16.

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Nonlinear chains and Painlevé equations. Phys. D 73 (4), pp. 335–351.

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ISSN 0167-2789, Document, MathReview (F. Pempinelli), ZentralBlatt

Referenced by:

§32.2(v).

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Integrals involving Airy functions. J. Phys. A 19 (13), pp. 2663–2665.

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ISSN 0305-4470, Document, MathReview, ZentralBlatt

Referenced by:

(9.11.11), (9.11.12), (9.11.13), (9.11.14), §9.11(iv).

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Continuous Hahn polynomials. J. Phys. A 18 (16), pp. L1017–L1019.

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ISSN 0305-4470, FullText, MathReview (T. S. Chihara), ZentralBlatt

Referenced by:

§18.19, §18.20(ii), §18.21(ii).

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16: Bibliography D

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Detection of the density matrix through optical homodyne tomography without filtered back projection. Phys. Rev. A 50 (5), pp. 4298–4302.

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Document

Referenced by:

§13.28(iii).

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Unification of one-dimensional Fokker-Planck equations beyond hypergeometrics: Factorizer solution method and eigenvalue schemes. Phys. Rev. E (3) 57 (1), pp. 252–275.

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ISSN 1063-651X, Document, MathReview (Victor I. Stepanov), ZentralBlatt

Referenced by:

§31.17(ii).

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Computing spectra of linear operators using the Floquet-Fourier-Hill method. J. Comput. Phys. 219 (1), pp. 296–321.

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ISSN 0021-9991, MathReview, ZentralBlatt

Referenced by:

§22.11.

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The KP equation with quasiperiodic initial data. Phys. D 123 (1-4), pp. 123–152.

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Notes:

Nonlinear waves and solitons in physical systems (Los Alamos, NM, 1997)

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ISSN 0167-2789, Document, MathReview (Pavel Krejčí), ZentralBlatt

Referenced by:

§21.9.

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A simple sum formula for Clebsch-Gordan coefficients. Lett. Math. Phys. 5 (3), pp. 207–211.

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ISSN 0377-9017, Document, MathReview, ZentralBlatt

Referenced by:

§14.17(iv).

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17: Bibliography H

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Soft-core Coulomb potentials and Heun’s differential equation. J. Math. Phys. 51 (2), pp. Art. ID 022107, 19 pages.

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ISSN 0022-2488, Document, FullText, MathReview, ZentralBlatt

Referenced by:

§31.17(ii), §31.17(ii).

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Inverse virial symmetry of diatomic potential curves. J. Chem. Phys. 109 (1), pp. 11–19.

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Referenced by:

§15.18.

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Error bounds for asymptotic approximations of zeros of Hankel functions occurring in diffraction problems. J. Mathematical Phys. 11 (8), pp. 2501–2504.

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Document, MathReview (F. W. J. Olver), ZentralBlatt

Referenced by:

§10.21(xiv).

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Two-center Coulomb functions. Comput. Phys. Comm. 103 (2-3), pp. 209–216.

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Notes:

Double-precision Fortran code.

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ISSN 0010-4655, Document, Code

Referenced by:

6th item.

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Calculation of Coulomb wave functions for high energies. Phys. Rev. 54 (8), pp. 627–628.

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Document

Referenced by:

§33.7.

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18: Bibliography O

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On the $\tau$-function of the Painlevé equations. Phys. D 2 (3), pp. 525–535.

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ISSN 0167-2789, Document, MathReview (D. A. Lutz), ZentralBlatt

Referenced by:

§32.6(i), §32.6(ii).

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Hyperasymptotics for nonlinear ODEs. I. A Riccati equation. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 461 (2060), pp. 2503–2520.

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ISSN 1364-5021, Document, MathReview, ZentralBlatt

Referenced by:

§2.11(v).

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Hyperasymptotics for nonlinear ODEs. II. The first Painlevé equation and a second-order Riccati equation. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 461 (2062), pp. 3005–3021.

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ISSN 1364-5021, Document, MathReview, ZentralBlatt

Referenced by:

§2.11(v), §32.12(i).

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Associated Legendre functions on the cut. J. Comput. Phys. 51 (3), pp. 502–518.

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Notes:

Includes single, double precision Fortran code.

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GAMS (module DXNRMP; package SLATEC), ISSN 0021-9991, Document, MathReview (G. P. Bhattacharjee), ZentralBlatt

Referenced by:

§14.32, 7th item.

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Error Analysis of Complex Arithmetic. In Computational Aspects of Complex Analysis (Braunlage, 1982), H. Werner, L. Wuytack, E. Ng, and H. J. Bünger (Eds.), NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci., Vol. 102, pp. 279–292.

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External Links:

MathReview (G. Blanch), ZentralBlatt

Referenced by:

§3.1(v).

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19: Bibliography E

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The penetration of a potential barrier by electrons. Phys. Rev. 35 (11), pp. 1303–1309.

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Document, ZentralBlatt

Referenced by:

§15.18.

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Properties of a Raman atom-laser output coupler. J. Phys. B 32 (12), pp. 2935–2950.

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FullText

Referenced by:

§12.17.

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Further results on McMahon’s asymptotic approximations. J. Phys. A 33 (36), pp. 6333–6341.

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ISSN 0305-4470, Document, MathReview (R. G. Aĭrapetyan), ZentralBlatt

Referenced by:

§10.21(vi).

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Monopoles and Baker functions. Comm. Math. Phys. 125 (3), pp. 385–416.

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ISSN 0010-3616, Link, MathReview (Jacques Hurtubise), ZentralBlatt

Referenced by:

§21.9.

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Painlevé transcendent describes quantum correlation function of the $XXZ$ antiferromagnet away from the free-fermion point. J. Phys. A 29 (17), pp. 5619–5626.

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ISSN 0305-4470, Document, MathReview (Estelle L. Basor), ZentralBlatt

Referenced by:

§32.16.

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20: Bibliography M

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Relativistic hydrogen atom revisited. Amer. J. Phys. 68, pp. 1050–1055.

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Referenced by:

§18.39(ii).

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Rational solutions of the Painlevé VI equation. J. Phys. A 34 (11), pp. 2281–2294.

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ISSN 0305-4470, Document, MathReview (Shun Shimomura), ZentralBlatt

Referenced by:

§32.8(vi).

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Spectral functions for the Tomonaga-Luttinger model. Phys. Rev. B 46 (24), pp. 15753–15760.

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Document

Referenced by:

§13.28(iii).

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Diatomic molecules according to the wave mechanics. II: Vibrational levels. Phys. Rev., II. Ser. 34, pp. 57–64.

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ISSN 0031-899X, ZentralBlatt

Referenced by:

(18.39.16).

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Elastodynamics in parabolic cylinders. Z. Angew. Math. Phys. 39 (5), pp. 748–752.

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ISSN 0044-2275, Document, MathReview (Sergej M. Zverev), ZentralBlatt

Referenced by:

§12.17.

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