Bibliography J
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Classical Electrodynamics,3rd edition, John Wiley & Sons Inc., New York.
- External Links:
- ISBN 0-471-30932-X, MathReview (T. Kahan), ZentralBlatt.
- Referenced by:
- §10.73(i), §10.73(i), §10.73(ii).
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Fundamenta Nova Theoriae Functionum Ellipticarum,Regiomonti, Sumptibus fratrum Bornträger.
- 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).
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- BibTeX
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On the numerical calculation of polylogarithms,Nordisk Tidskr. Informationsbehandling (BIT) 12 (4), pp. 581–585.
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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.
- External Links:
- MathReview (Marietta J. Tretter), ZentralBlatt.
- Referenced by:
- §8.25(iv).
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- BibTeX
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Fonctions de Mathieu et polynômes de Klein-Gordon,C. R. Acad. Sci. Paris Sér. I Math. 325 (7), pp. 713–716 (French).
- Notes:
- Translated title: Mathieu functions and Klein-Gordon polynomials.
- External Links:
- ISSN 0764-4442, Document, MathReview, ZentralBlatt.
- Referenced by:
- §28.33(iii).
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- BibTeX
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Fonctions de Mathieu et fonctions propres de l’oscillateur relativiste,Ann. Fac. Sci. Toulouse Math. (6) 7 (3), pp. 465–495 (French).
- 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
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Some properties of the Erlang loss function,Bell System Tech. J. 53, pp. 525–551.
- External Links:
- ISSN 0005-8580, MathReview (U. Narayan Bhat), ZentralBlatt.
- Referenced by:
- §8.23.
- Encodings:
- BibTeX
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Tafeln höherer Funktionen (Tables of Higher Functions),7th edition, B. G. Teubner, Stuttgart (Bilingual).
- 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
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Tables of Functions with Formulae and Curves,4th edition, Dover Publications, New York.
- 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, E. Jahnke, F. Emde and F. Lösch (1966).
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- BibTeX
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Distributions of matrix variates and latent roots derived from normal samples,Ann. Math. Statist. 35 (2), pp. 475–501.
- 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, Ch.35.
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- BibTeX
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Simple-periodic and Non-periodic Lamé Functions,Mathematical Centre Tracts, No. 72, Mathematisch Centrum, Amsterdam.
- 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), Ch.29.
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The birth of the giant component,Random Structures Algorithms 4 (3), pp. 231–358.
- 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).
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- BibTeX
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Algorithm 73: Incomplete elliptic integrals,Comm. ACM 4 (12), pp. 543.
- 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).
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- BibTeX
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Methods of Mathematical Physics,3rd edition, Cambridge University Press, Cambridge.
- Notes:
- Reprinted in 1999.
- External Links:
- MathReview, ZentralBlatt.
- Referenced by:
- §10.1, §12.17, Ch.14, Ch.6, ¶ ‣ §7.18(iv), Ch.9.
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- BibTeX
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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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Numerical calculation of Bessel, Hankel and Airy functions,Computer Physics Communications 183 (3), pp. 506–519.
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A note on sampling expansion for a transform with parabolic cylinder kernel,Inform. Sci. 26 (2), pp. 155–158.
- External Links:
- ISSN 0020-0255, Document, MathReview, ZentralBlatt.
- Referenced by:
- §12.16.
- Encodings:
- BibTeX
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Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent,Phys. D 1 (1), pp. 80–158.
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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II,Phys. D 2 (3), pp. 407–448.
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Uniform asymptotic expansions for Meixner polynomials,Constr. Approx. 14 (1), pp. 113–150.
- External Links:
- ISSN 0176-4276, Document, MathReview (Richard B. Paris), ZentralBlatt.
- Referenced by:
- ¶ ‣ §18.24, §2.4(vi).
- Encodings:
- BibTeX
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Asymptotic formulas for the zeros of the Meixner polynomials,J. Approx. Theory 96 (2), pp. 281–300.
- External Links:
- ISSN 0021-9045, Document, MathReview (N. Hayek Calil), ZentralBlatt.
- Referenced by:
- ¶ ‣ §18.24.
- Encodings:
- BibTeX
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Fast Hankel transforms,Geophysical Prospecting 27 (4), pp. 876–901.
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REMES2 — a Fortran program to calculate rational minimax approximations to a given function,Technical ReportTechnical Report AECL-4210, Atomic Energy of Canada Limited. Chalk River Nuclear Laboratories, Chalk River, Ontario.
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Continuous Univariate Distributions,2nd edition, Vol. I, John Wiley & Sons Inc., New York.
- External Links:
- ISBN 0-471-58495-9, MathReview (D. N. Shanbhag), ZentralBlatt.
- Referenced by:
- §7.20(iii), §8.23.
- Encodings:
- BibTeX
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Continuous Univariate Distributions,2nd edition, Vol. II, John Wiley & Sons Inc., New York.
- External Links:
- ISBN 0-471-58494-0, MathReview (D. N. Shanbhag), ZentralBlatt.
- Referenced by:
- §8.23.
- Encodings:
- BibTeX
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Atomic Structure Theory: Lectures on Atomic Physics,Springer, Berlin and Heidelberg.
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The Theory of Electromagnetism,International Series of Monographs on Pure and Applied Mathematics, Vol. 47. A Pergamon Press Book, The Macmillan Co., New York.
- External Links:
- MathReview (W. E. Williams), ZentralBlatt.
- Referenced by:
- §23.21(iii).
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- BibTeX
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Asymptotic behavior of integrals,SIAM Rev. 14 (2), pp. 286–317.
- External Links:
- Document, MathReview (A. Erdelyi), ZentralBlatt.
- Referenced by:
- Ch.2.
- Encodings:
- BibTeX
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Acoustic and Electromagnetic Waves,Oxford Science Publications, The Clarendon Press Oxford University Press, New York.
- External Links:
- ISBN 0-19-853365-9, MathReview (John A. DeSanto).
- Referenced by:
- §10.73(i).
- Encodings:
- BibTeX
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Introduction to Asymptotics: A Treatment Using Nonstandard Analysis,World Scientific Publishing Co. Inc., River Edge, NJ.
- External Links:
- ISBN 981-02-2915-1, MathReview (W. A. J. Luxemburg), ZentralBlatt.
- Referenced by:
- Ch.2.
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Asymptotics of the hypergeometric function,Math. Methods Appl. Sci. 24 (6), pp. 369–389.
- External Links:
- ISSN 0170-4214, Document, MathReview, ZentralBlatt.
- Referenced by:
- §14.15(iii), §15.12(iii).
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- BibTeX
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Parabolic cylinder functions of large order,J. Comput. Appl. Math. 190 (1-2), pp. 453–469.
- External Links:
- ISSN 0377-0427, Document, MathReview Entry, ZentralBlatt.
- Referenced by:
- §12.10(vi).
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- BibTeX
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Numerical stability in evaluating continued fractions,Math. Comp. 28 (127), pp. 795–810.
- External Links:
- FullText, MathReview (N. N. Abdelmalek), ZentralBlatt.
- Referenced by:
- ¶ ‣ §3.10(iii).
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On the computation of incomplete gamma functions in the complex domain,J. Comput. Appl. Math. 12/13, pp. 401–417.
- External Links:
- ISSN 0377-0427, Document, MathReview (M. Marsden), ZentralBlatt.
- Referenced by:
- §8.25(iv), §8.9.
- Encodings:
- BibTeX
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Continued Fractions: Analytic Theory and Applications,Encyclopedia of Mathematics and its Applications, Vol. 11, Addison-Wesley Publishing Co., Reading, MA.
- 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.
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Note sur la série
,Bull. Soc. Math. France 17, pp. 142–152 (French).- External Links:
- ISSN 0037-9484, MathReview Entry, ZentralBlatt.
- Referenced by:
- §25.12(ii).
- Encodings:
- BibTeX
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Calculus of Finite Differences,Hungarian Agent Eggenberger Book-Shop, Budapest.
- 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.
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Calculus of Finite Differences,3rd edition, AMS Chelsea, Providence, RI.
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Derivation of Green-type, transitional and uniform asymptotic expansions from differential equations. V. Angular oblate spheroidal wavefunctions
and 
for large 
,Proc. Roy. Soc. London Ser. A 321, pp. 545–555. -
On Boutroux’s tritronquée solutions of the first Painlevé equation,Stud. Appl. Math. 107 (3), pp. 253–291.
- External Links:
- ISSN 0022-2526, Document, MathReview, ZentralBlatt.
- Referenced by:
- §32.12(i).
- Encodings:
- BibTeX
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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.
- External Links:
- ISSN 0075-4102, Document, MathReview (Mehmet Can), ZentralBlatt.
- Referenced by:
- §32.11(i).
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The Painlevé connection problem: An asymptotic approach. I,Stud. Appl. Math. 86 (4), pp. 315–376.
- External Links:
- ISSN 0022-2526, MathReview (I. P. Martynov), ZentralBlatt.
- Referenced by:
- §32.11(i), §32.12(ii).
- Encodings:
- BibTeX
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On the simple cubic lattice Green function,Philos. Trans. Roy. Soc. London Ser. A 273, pp. 583–610.
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On the cubic lattice Green functions,Proc. Roy. Soc. London Ser. A 445, pp. 463–477.
- External Links:
- ISSN 0962-8444, FullText, MathReview (Peter J. Forrester), ZentralBlatt.
- Referenced by:
- §31.17(ii), §31.7(i).
- Encodings:
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Java Tools for Experimental Mathematics
- 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
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Angular Momentum Theory for Diatomic Molecules,Academic Press, New York.
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Modifications of Coulombic interactions by polarizable atoms,Math. Proc. Cambridge Philos. Soc. 80 (3), pp. 535–539.
- External Links:
- ISSN 0305-0041, Document, MathReview (Cataldo Agostinelli).
- Referenced by:
- §34.12.
- Encodings:
- BibTeX
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Operator Techniques in Atomic Spectroscopy,Princeton University Press, Princeton, NJ.
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Memoire sur l’itération des fonctions rationnelles,J. Math. Pures Appl. 8 (1), pp. 47–245 (French).