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21: Bibliography P

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Statistical Field Theory. Addison-Wesley, Reading, MA.

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External Links:

ISBN 0-201-05985-1, MathReview (Tony C. Dorlas), ZentralBlatt

Referenced by:

§22.19(ii).

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Zonal Polynomials of Order $1$ Through $12$ . In Selected Tables in Mathematical Statistics, H. L. Harter and D. B. Owen (Eds.), Vol. 2, pp. 199–388.

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External Links:

MathReview

Referenced by:

§35.11.

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The exact distribution of the Wald statistic. Econometrica 54 (4), pp. 881–895.

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ISSN 0012-9682, FullText, MathReview (Sadanori Konishi), ZentralBlatt

Referenced by:

§35.9.

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Catastrophe Theory and its Applications. Pitman, London.

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Notes:

Reprinted by Dover in 1996.

External Links:

ISBN 0-273-01029-8, MathReview (George K. Francis), ZentralBlatt

Referenced by:

§36.4(i), Ch.36.

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Stacking models of vesicles and compact clusters. J. Statist. Phys. 80 (3–4), pp. 755–779.

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Document, ZentralBlatt

Referenced by:

§8.24(ii).

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22: 22.18 Mathematical Applications

§22.18 Mathematical Applications

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Ellipse

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Lemniscate

… ►See Baxter (1982, p. 471) for an example from statistical mechanics. … …

23: 5.20 Physical Applications

§5.20 Physical Applications

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Solvable Models of Statistical Mechanics

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24: Bibliography R

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Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications. Contemporary Mathematics, Vol. 138, American Mathematical Society, Providence, RI.

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External Links:

ISBN 0-8218-5159-4, MathReview, ZentralBlatt

Referenced by:

Ch.35, Profile Donald St. P. Richards.

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Total positivity properties of generalized hypergeometric functions of matrix argument. J. Statist. Phys. 116 (1-4), pp. 907–922.

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ISSN 0022-4715, Document, MathReview (Stamatis Koumandos), ZentralBlatt

Referenced by:

§35.9.

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Some Applications of the Lamé Function Solutions of the Linearised Supersonic Flow Equations. Technical Reports and Memoranda Technical Report 2865, Aeronautical Research Council (Great Britain).

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Notes:

Reprinted by Her Majesty’s Stationery Office, London, 1962.

External Links:

MathReview (P. Germain)

Referenced by:

§29.19(ii).

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Elementary Number Theory and its Applications. 5th edition, Addison-Wesley, Reading, MA.

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ISBN 0-201-87073-8, MathReview (Norman J. Richert)

Referenced by:

§27.17.

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On Simple Waves with Profiles in the form of some Special Functions—Chebyshev-Hermite, Mathieu, Whittaker—in Two-phase Media. In Differential Operators and Related Topics, Vol. I (Odessa, 1997), Operator Theory: Advances and Applications, Vol. 117, pp. 313–322.

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External Links:

ISBN 3-7643-6287-1, MathReview Entry, ZentralBlatt

Referenced by:

5th item.

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25: 8.24 Physical Applications

§8.24 Physical Applications

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§8.24(ii) Incomplete Beta Functions

►The function $I_x(a,b)$ appears in: Monte Carlo sampling in statistical mechanics (Kofke (2004)); analysis of packings of soft or granular objects (Prellberg and Owczarek (1995)); growth formulas in cosmology (Hamilton (2001)). …

26: Peter A. Clarkson

… … ►is Professor of Mathematics in the School of Mathematics, Statistics, and Actuarial Science at the University of Kent, Canterbury, U. … ►Institute of Mathematics and its Applications in 2010. …

27: Bibliography C

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Generalized incomplete gamma functions with applications. J. Comput. Appl. Math. 55 (1), pp. 99–124.

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ISSN 0377-0427, Document, MathReview, ZentralBlatt

Referenced by:

§8.16.

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Statistics on Special Manifolds. Lecture Notes in Statistics, Vol. 174, Springer-Verlag, New York.

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External Links:

ISBN 0-387-00160-3, MathReview (M. Hušková), ZentralBlatt

Referenced by:

§35.9.

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Some non-central distribution problems in multivariate analysis. Ann. Math. Statist. 34 (4), pp. 1270–1285.

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External Links:

FullText, MathReview (I. Olkin), ZentralBlatt

Referenced by:

§35.4(i), §35.4(ii).

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Applications of the complex exponential integral. Math. Comp. 15 (73), pp. 1–6.

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External Links:

FullText, MathReview (J. C. P. Miller), ZentralBlatt

Referenced by:

§6.7(iv).

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Algorithm AS 24: From normal integral to deviate. Appl. Statist. 18 (3), pp. 290–293.

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Notes:

Includes Fortran program, maximum accuracy 12D.

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FullText

Referenced by:

§7.25(ii).

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28: Bibliography B

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Random and Restricted Walks: Theory and Applications. Gordon and Breach, New York.

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External Links:

ZentralBlatt

Referenced by:

§16.24(i).

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Rogers-Ramanujan identities in the hard hexagon model. J. Statist. Phys. 26 (3), pp. 427–452.

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ISSN 0022-4715, Document, MathReview, ZentralBlatt

Referenced by:

§17.17.

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Exactly Solved Models in Statistical Mechanics. Academic Press Inc., London-New York.

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Notes:

Reprinted in 1989.

External Links:

ISBN 0-12-083180-5, MathReview (J. Groeneveld), ZentralBlatt

Referenced by:

§17.17, §20.12(ii), §22.18(iii), 2nd item, §26.20.

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Electromagnetic Scattering and its Applications. Applied Science Publishers, London.

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External Links:

ISBN 0-85334-955-X

Referenced by:

§10.73(i), §10.73(ii).

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Computation of the polygamma functions. Comm. Statist. B—Simulation Comput. 13 (3), pp. 409–415.

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ISSN 0361-0918, Document, MathReview (S. Conde)

Referenced by:

§5.24(iii).

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29: Bibliography I

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Computation of integrals over the half-line involving products of Bessel functions, with application to microwave transmission lines. Z. Angew. Math. Mech. 75 (12), pp. 917–926.

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External Links:

ISSN 0044-2267, MathReview (John P. Coleman), ZentralBlatt

Referenced by:

§10.74(vii).

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An integral which occurs in statistics. Proceedings of the Cambridge Philosophical Society 29, pp. 271–276.

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External Links:

Document, ZentralBlatt

Referenced by:

§35.3(i), §35.3(ii).

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Highly Oscillatory Quadrature: The Story So Far. In Numerical Mathematics and Advanced Applications, A. Bermudez de Castro and others (Eds.), pp. 97–118.

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Notes:

Proceedings of ENuMath, Santiago de Compostela (2005)

External Links:

ISBN 3-540-34287-7, MathReview, ZentralBlatt

Referenced by:

§3.5(vii).

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Theory and Applications of Special Functions. Developments in Mathematics, Vol. 13, Springer, New York.

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Notes:

A volume dedicated to Mizan Rahman, Papers from the Special Session of the American Mathematical Society Annual Meeting held in Baltimore, MD, January 15–18, 2003

External Links:

ISBN 0-387-24231-7, Document, Link, MathReview Entry, ZentralBlatt

Referenced by:

Profile Mourad E.H. Ismail.

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Statistical Field Theory: Strong Coupling, Monte Carlo Methods, Conformal Field Theory, and Random Systems. Vol. 2, Cambridge University Press, Cambridge.

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External Links:

ISBN 0-521-37012-4; 0-521-40806-7, MathReview (C. A. Hurst), ZentralBlatt

Referenced by:

2nd item.

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30: Bibliography G

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Orthogonal Polynomials: Applications and Computation. In Acta Numerica, 1996, A. Iserles (Ed.), Acta Numerica, Vol. 5, pp. 45–119.

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External Links:

MathReview (Sven Ehrich), ZentralBlatt

Referenced by:

§3.5(v).

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Applications of the classical umbral calculus. Algebra Universalis 49 (4), pp. 397–434.

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External Links:

ISSN 0002-5240, Document, MathReview (George E. Andrews), ZentralBlatt

Referenced by:

§24.4(viii).

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Combinatorics in Statistical Physics. In Handbook of Combinatorics, Vol. 2, R. L. Graham, M. Grötschel, and L. Lovász (Eds.), pp. 1925–1954.

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External Links:

MathReview Entry, ZentralBlatt

Referenced by:

§26.20.

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Error bounds in equilibrium statistical mechanics. J. Math. Phys. 9, pp. 655–663.

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External Links:

ZentralBlatt

Referenced by:

§18.39(iii), §18.40(ii).

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The Applications of Elliptic Functions. MacMillan, London.

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Notes:

Reprinted by Dover Publications Inc., New York, 1959.

External Links:

Link, ZentralBlatt

Referenced by:

§19.30(iii), Ch.19.

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