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  • J. D. Jackson (1999) Classical Electrodynamics, 3rd edition, John Wiley & Sons Inc., New York.
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    External Links:
    ISBN 0-471-30932-X, MathReview (T. Kahan), ZentralBlatt.
    Referenced by:
    10.73(i), 10.73(i), 10.73(ii).
    Encodings:
    BibTeX
  • C. G. J. Jacobi (1829) Fundamenta Nova Theoriae Functionum Ellipticarum, Regiomonti, Sumptibus fratrum Bornträger.
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    Notes:
    Reprinted in Werke, Vol. I, pp. 49–239, Herausgegeben von C. W. Borchardt, Berlin, Verlag von G. Reimer, 1881.
    External Links:
    Werke TOC.
    Referenced by:
    27.13(iv).
    Encodings:
    BibTeX
  • D. Jacobs and F. Lambert (1972) On the numerical calculation of polylogarithms, Nordisk Tidskr. Informationsbehandling (BIT) 12 (4), pp. 581–585.
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    External Links:
    Document, MathReview, ZentralBlatt.
    Referenced by:
    25.18(i).
    Encodings:
    BibTeX
  • L. Jacobsen, W. B. Jones and H. Waadeland (1986) Further results on the computation of incomplete gamma functions, in Analytic Theory of Continued Fractions, II (Pitlochry/Aviemore, 1985), Lecture Notes in Math. 1199, pp. 67–89.
    Show Annotations
    External Links:
    MathReview (Marietta J. Tretter), ZentralBlatt.
    Referenced by:
    8.25(iv).
    Encodings:
    BibTeX
  • L. Jager (1997) Fonctions de Mathieu et polynômes de Klein-Gordon, C. R. Acad. Sci. Paris Sér. I Math. 325 (7), pp. 713–716 (French).
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    Notes:
    Translated title: Mathieu functions and Klein-Gordon polynomials.
    External Links:
    ISSN 0764-4442, Document, MathReview, ZentralBlatt.
    Referenced by:
    28.33(iii).
    Encodings:
    BibTeX
  • L. Jager (1998) Fonctions de Mathieu et fonctions propres de l’oscillateur relativiste, Ann. Fac. Sci. Toulouse Math. (6) 7 (3), pp. 465–495 (French).
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    Notes:
    Translated title: Mathieu functions and eigenfunctions of the relativistic oscillator.
    External Links:
    ISSN 0240-2963, Pdf, MathReview (Jean-Michel Ghez), ZentralBlatt.
    Referenced by:
    28.33(iii).
    Encodings:
    BibTeX
  • D. L. Jagerman (1974) Some properties of the Erlang loss function, Bell System Tech. J. 53, pp. 525–551.
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    External Links:
    ISSN 0005-8580, MathReview (U. Narayan Bhat), ZentralBlatt.
    Referenced by:
    8.23.
    Encodings:
    BibTeX
  • E. Jahnke, F. Emde and F. Lösch (1966) Tafeln höherer Funktionen (Tables of Higher Functions), 7th edition, B. G. Teubner, Stuttgart (Bilingual).
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    Notes:
    Reprint of sixth edition (McGraw-Hill, New York, 1960) with corrections and updated bibliography. The sixth edition is a completely revised and enlarged version of Jahnke and Emde (1945). In German and English.
    External Links:
    MathReview.
    Referenced by:
    19.1, 28.3(i).
    Encodings:
    BibTeX
  • E. Jahnke and F. Emde (1945) Tables of Functions with Formulae and Curves, 4th edition, Dover Publications, New York.
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    Notes:
    Contains corrections and enlargements of earlier editions. Originally published by B. G. Teubner, Leipzig, in 1933. In German and English.
    External Links:
    MathReview, ZentralBlatt.
    Referenced by:
    11.14(iv), 20.15, 5.1, Notations P, E. Jahnke, F. Emde and F. Lösch (1966).
    Encodings:
    BibTeX
  • A. T. James (1964) Distributions of matrix variates and latent roots derived from normal samples, Ann. Math. Statist. 35 (2), pp. 475–501.
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    External Links:
    FullText, MathReview (I. Olkin), ZentralBlatt.
    Referenced by:
    35.11, 35.4(i), 35.4(ii), 35.8(i), 35.8(ii), 35.8(iv), 35.9, 35.
    Encodings:
    BibTeX
  • J. K. M. Jansen (1977) Simple-periodic and Non-periodic Lamé Functions, Mathematical Centre Tracts, No. 72, Mathematisch Centrum, Amsterdam.
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    External Links:
    ISBN 90-6196-130-0, MathReview (V. P. Madan).
    Referenced by:
    29.1, 29.1, 29.18(i), 29.19(i), 29.20(i), 29.20(i), 29.22(ii), 29.3(v), 29.6(i), 29.6(ii), 29.6(iii), 29.6(iv), 29, Notations L.
    Encodings:
    BibTeX
  • S. Janson, D. E. Knuth, T. Łuczak and B. Pittel (1993) The birth of the giant component, Random Structures Algorithms 4 (3), pp. 231–358.
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    Notes:
    With an introduction by the editors
    External Links:
    ISSN 1042-9832, Document, MathReview (Alan M. Frieze), ZentralBlatt.
    Referenced by:
    16.23(ii), 9.13(ii).
    Encodings:
    BibTeX
  • D. K. Jefferson (1961) Algorithm 73: Incomplete elliptic integrals, Comm. ACM 4 (12), pp. 543.
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    Notes:
    Includes Algol program. For certification see same journal 6 (1963), p. 167, for remark see same journal 5 (1962), p. 514
    External Links:
    ISSN 0001-0782, Document.
    Referenced by:
    19.39(iii).
    Encodings:
    BibTeX
  • H. Jeffreys and B. S. Jeffreys (1956) Methods of Mathematical Physics, 3rd edition, Cambridge University Press, Cambridge.
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    Notes:
    Reprinted in 1999.
    External Links:
    MathReview, ZentralBlatt.
    Referenced by:
    10.1, 12.17, 14, 6, 7.18(iv), 9, Notations H, Notations K.
    Encodings:
    BibTeX
  • H. Jeffreys (1928) The effect on Love waves of heterogeneity in the lower layer, Monthly Notices Roy. Astronom. Soc. Geophysical Supplement 2, pp. 101–111.
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    External Links:
    ZentralBlatt.
    Referenced by:
    9.1.
    Encodings:
    BibTeX
  • U. D. Jentschura and E. Lötstedt (2012) Numerical calculation of Bessel, Hankel and Airy functions, Computer Physics Communications 183 (3), pp. 506–519.
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    External Links:
    Document, FullText.
    Referenced by:
    10.19(iii), 10.19(iii).
    Encodings:
    BibTeX
  • A. J. Jerri (1982) A note on sampling expansion for a transform with parabolic cylinder kernel, Inform. Sci. 26 (2), pp. 155–158.
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    External Links:
    ISSN 0020-0255, Document, MathReview, ZentralBlatt.
    Referenced by:
    12.16.
    Encodings:
    BibTeX
  • M. Jimbo, T. Miwa, Y. Môri and M. Sato (1980) Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent, Phys. D 1 (1), pp. 80–158.
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    External Links:
    ISSN 0167-2789, Document, MathReview.
    Referenced by:
    32.16.
    Encodings:
    BibTeX
  • M. Jimbo and T. Miwa (1981) Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II, Phys. D 2 (3), pp. 407–448.
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    External Links:
    ISSN 0167-2789, Document, MathReview (V. A. Golubeva).
    Referenced by:
    32.4(i), 32.4(ii), 32.4(iv), 32.4(v), 32.6(ii), 32.6(iii), 32.6(iv), 32.6(v), 32.6(v), 32.6(v).
    Encodings:
    BibTeX
  • X.-S. Jin and R. Wong (1998) Uniform asymptotic expansions for Meixner polynomials, Constr. Approx. 14 (1), pp. 113–150.
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    External Links:
    ISSN 0176-4276, Document, MathReview (Richard B. Paris), ZentralBlatt.
    Referenced by:
    18.24, 2.4(vi).
    Encodings:
    BibTeX
  • X.-S. Jin and R. Wong (1999) Asymptotic formulas for the zeros of the Meixner polynomials, J. Approx. Theory 96 (2), pp. 281–300.
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    External Links:
    ISSN 0021-9045, Document, MathReview (N. Hayek Calil), ZentralBlatt.
    Referenced by:
    18.24.
    Encodings:
    BibTeX
  • H. K. Johansen and K. Sørensen (1979) Fast Hankel transforms, Geophysical Prospecting 27 (4), pp. 876–901.
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    External Links:
    Document.
    Referenced by:
    10.74(vii).
    Encodings:
    BibTeX
  • J. H. Johnson and J. M. Blair (1973) REMES2 — a Fortran program to calculate rational minimax approximations to a given function, Technical Report Technical Report AECL-4210, Atomic Energy of Canada Limited. Chalk River Nuclear Laboratories, Chalk River, Ontario.
    Show Annotations
    Referenced by:
    3.11(iii).
    Encodings:
    BibTeX
  • N. L. Johnson, S. Kotz and N. Balakrishnan (1994) Continuous Univariate Distributions, 2nd edition, Vol. I, John Wiley & Sons Inc., New York.
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    External Links:
    ISBN 0-471-58495-9, MathReview (D. N. Shanbhag), ZentralBlatt.
    Referenced by:
    7.20(iii), 8.23.
    Encodings:
    BibTeX
  • N. L. Johnson, S. Kotz and N. Balakrishnan (1995) Continuous Univariate Distributions, 2nd edition, Vol. II, John Wiley & Sons Inc., New York.
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    External Links:
    ISBN 0-471-58494-0, MathReview (D. N. Shanbhag), ZentralBlatt.
    Referenced by:
    8.23.
    Encodings:
    BibTeX
  • W. R. Johnson (2007) Atomic Structure Theory: Lectures on Atomic Physics, Springer, Berlin and Heidelberg.
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    External Links:
    ISBN 978-3-540-68010-9.
    Referenced by:
    33.22(iv).
    Encodings:
    BibTeX
  • D. S. Jones (1964) The Theory of Electromagnetism, International Series of Monographs on Pure and Applied Mathematics, Vol. 47. A Pergamon Press Book, The Macmillan Co., New York.
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    External Links:
    MathReview (W. E. Williams), ZentralBlatt.
    Referenced by:
    23.21(iii).
    Encodings:
    BibTeX
  • D. S. Jones (1972) Asymptotic behavior of integrals, SIAM Rev. 14 (2), pp. 286–317.
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    External Links:
    Document, MathReview (A. Erdelyi), ZentralBlatt.
    Referenced by:
    2.
    Encodings:
    BibTeX
  • D. S. Jones (1986) Acoustic and Electromagnetic Waves, Oxford Science Publications, The Clarendon Press Oxford University Press, New York.
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    External Links:
    ISBN 0-19-853365-9, MathReview (John A. DeSanto).
    Referenced by:
    10.73(i).
    Encodings:
    BibTeX
  • D. S. Jones (1997) Introduction to Asymptotics: A Treatment Using Nonstandard Analysis, World Scientific Publishing Co. Inc., River Edge, NJ.
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    External Links:
    ISBN 981-02-2915-1, MathReview (W. A. J. Luxemburg), ZentralBlatt.
    Referenced by:
    2.
    Encodings:
    BibTeX
  • D. S. Jones (2001) Asymptotics of the hypergeometric function, Math. Methods Appl. Sci. 24 (6), pp. 369–389.
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    External Links:
    ISSN 0170-4214, Document, MathReview, ZentralBlatt.
    Referenced by:
    14.15(iii), 15.12(iii).
    Encodings:
    BibTeX
  • D. S. Jones (2006) Parabolic cylinder functions of large order, J. Comput. Appl. Math. 190 (1-2), pp. 453–469.
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    External Links:
    ISSN 0377-0427, Document, MathReview Entry, ZentralBlatt.
    Referenced by:
    12.10(vi).
    Encodings:
    BibTeX
  • W. B. Jones and W. J. Thron (1974) Numerical stability in evaluating continued fractions, Math. Comp. 28 (127), pp. 795–810.
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    External Links:
    FullText, MathReview (N. N. Abdelmalek), ZentralBlatt.
    Referenced by:
    3.10(iii).
    Encodings:
    BibTeX
  • W. B. Jones and W. J. Thron (1985) On the computation of incomplete gamma functions in the complex domain, J. Comput. Appl. Math. 12/13, pp. 401–417.
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    External Links:
    ISSN 0377-0427, Document, MathReview (M. Marsden), ZentralBlatt.
    Referenced by:
    8.25(iv), 8.9.
    Encodings:
    BibTeX
  • W. B. Jones and W. J. Thron (1980) Continued Fractions: Analytic Theory and Applications, Encyclopedia of Mathematics and its Applications, Vol. 11, Addison-Wesley Publishing Co., Reading, MA.
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    External Links:
    ISBN 0-201-13510-8, MathReview (E. Frank), ZentralBlatt.
    Referenced by:
    1.12(ii), 1.12(iii), 1.12(iv), 1.12(v), 13.17, 13.17, 13.5, 13.5, 4.25, 5.10.
    Encodings:
    BibTeX
  • A. Jonquière (1889) Note sur la série \sum_{{n=1}}^{\infty}x^{n}/n^{s}, Bull. Soc. Math. France 17, pp. 142–152 (French).
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    External Links:
    ISSN 0037-9484, MathReview Entry, ZentralBlatt.
    Referenced by:
    25.12(ii).
    Encodings:
    BibTeX
  • C. Jordan (1939) Calculus of Finite Differences, Hungarian Agent Eggenberger Book-Shop, Budapest.
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    Notes:
    Third edition published in 1965 by Chelsea Publishing Co., New York, and American Mathematical Society, AMS Chelsea Book Series, Providence, RI
    External Links:
    MathReview (W. E. Milne), ZentralBlatt.
    Referenced by:
    26.1, 26.1, 26.8(vii), 5.16, Notations S.
    Encodings:
    BibTeX
  • C. Jordan (1965) Calculus of Finite Differences, 3rd edition, AMS Chelsea, Providence, RI.
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    External Links:
    MathReview, ZentralBlatt.
    Referenced by:
    24.17(i), 24.6.
    Encodings:
    BibTeX
  • S. Jorna and C. Springer (1971) Derivation of Green-type, transitional and uniform asymptotic expansions from differential equations. V. Angular oblate spheroidal wavefunctions \overline{ps}\,^{r}_{n}(\eta,h) and \overline{qs}\,^{r}_{n}(\eta,h) for large h, Proc. Roy. Soc. London Ser. A 321, pp. 545–555.
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    External Links:
    FullText, MathReview, ZentralBlatt.
    Referenced by:
    30.9(ii).
    Encodings:
    BibTeX
  • N. Joshi and A. V. Kitaev (2001) On Boutroux’s tritronquée solutions of the first Painlevé equation, Stud. Appl. Math. 107 (3), pp. 253–291.
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    External Links:
    ISSN 0022-2526, Document, MathReview, ZentralBlatt.
    Referenced by:
    32.12(i).
    Encodings:
    BibTeX
  • N. Joshi and A. V. Kitaev (2005) The Dirichlet boundary value problem for real solutions of the first Painlevé equation on segments in non-positive semi-axis, J. Reine Angew. Math. 583, pp. 29–86.
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    External Links:
    ISSN 0075-4102, Document, MathReview (Mehmet Can), ZentralBlatt.
    Referenced by:
    32.11(i).
    Encodings:
    BibTeX
  • N. Joshi and M. D. Kruskal (1992) The Painlevé connection problem: An asymptotic approach. I, Stud. Appl. Math. 86 (4), pp. 315–376.
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    External Links:
    ISSN 0022-2526, MathReview (I. P. Martynov), ZentralBlatt.
    Referenced by:
    32.11(i), 32.12(ii).
    Encodings:
    BibTeX
  • G. S. Joyce (1973) On the simple cubic lattice Green function, Philos. Trans. Roy. Soc. London Ser. A 273, pp. 583–610.
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    External Links:
    FullText, MathReview, ZentralBlatt.
    Referenced by:
    31.17(ii).
    Encodings:
    BibTeX
  • G. S. Joyce (1994) On the cubic lattice Green functions, Proc. Roy. Soc. London Ser. A 445, pp. 463–477.
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    External Links:
    ISSN 0962-8444, FullText, MathReview (Peter J. Forrester), ZentralBlatt.
    Referenced by:
    31.17(ii), 31.7(i).
    Encodings:
    BibTeX
  • JTEM (Web Site) Java Tools for Experimental Mathematics
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    Notes:
    Single and double precision. Contains packages to compute elliptic functions, Riemann theta functions and their derivatives, and Riemann matrices for Riemann surfaces.
    External Links:
    Home Page.
    Referenced by:
    § Software Cross Index.
    Encodings:
    BibTeX
  • B. R. Judd (1975) Angular Momentum Theory for Diatomic Molecules, Academic Press, New York.
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    External Links:
    ISBN 0-12-391950-9.
    Referenced by:
    30.12, 34.12, Brian R. Judd.
    Encodings:
    BibTeX
  • B. R. Judd (1976) Modifications of Coulombic interactions by polarizable atoms, Math. Proc. Cambridge Philos. Soc. 80 (3), pp. 535–539.
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    External Links:
    ISSN 0305-0041, Document, MathReview (Cataldo Agostinelli).
    Referenced by:
    34.12.
    Encodings:
    BibTeX
  • B. R. Judd (1998) Operator Techniques in Atomic Spectroscopy, Princeton University Press, Princeton, NJ.
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    External Links:
    ISBN 0-691-05901-2.
    Referenced by:
    34.12, Brian R. Judd.
    Encodings:
    BibTeX
  • G. Julia (1918) Memoire sur l’itération des fonctions rationnelles, J. Math. Pures Appl. 8 (1), pp. 47–245 (French).
    Show Annotations
    External Links:
    FullText, ZentralBlatt.
    Referenced by:
    3.8(viii).
    Encodings:
    BibTeX
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