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11: Ira Gessel

… ► 1951 in Philadelphia, Pennsylvania) is Professor Emeritus in the Department of Mathematics at Brandeis University in Waltham, Massachusetts. …from the Massachusetts Institute of Technology in 1977. Gessel has published numerous papers in enumerative combinatorics. … ►In November 2015, Gessel was named Associate Editor of the following DLMF Chapter …

12: Ian J. Thompson

Profile
Ian J. Thompson

… ►Ian J. Thompson (b.  1953 in New Zealand) has been since 2006 a Theoretical Nuclear Physicist in the Nuclear Theory and Modeling Group of the Lawrence Livermore National Laboratory, Livermore, California. …at Auckland, New Zealand in 1979. ►Thompson has published papers on special functions, and numerous papers in theoretical nuclear physics, especially in scattering theory. …

13: Bibliography M

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Computational Algebra Group, School of Mathematics and Statistics, University of Sydney, Australia.

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Notes:

A software package (the successor to CAYLEY) designed to solve computationally hard problems in algebra, number theory, geometry, and combinatorics, and to provide a mathematically rigorous environment for computing with algebraic, number-theoretic, combinatoric, and geometric objects.

External Links:

Magma

Referenced by:

4th item.

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Sixth Painlevé Equation, Universal Elliptic Curve, and Mirror of ${𝐏}^2$ . In Geometry of Differential Equations, A. Khovanskii, A. Varchenko, and V. Vassiliev (Eds.), Amer. Math. Soc. Transl. Ser. 2, Vol. 186, pp. 131–151.

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External Links:

MathReview (Bruce Hunt), ZentralBlatt

Referenced by:

§32.2(iv).

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Geometry of Polynomials. 2nd edition, American Mathematical Society, Providence, RI.

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External Links:

ISBN 0821815032, MathReview (O. Shisha), ZentralBlatt

Referenced by:

§31.15(i), §31.15(ii).

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Geometrical and Catastrophe Optics Methods in Scattering. In Physical Acoustics, A. D. Pierce and R. N. Thurston (Eds.), Vol. 21, pp. 1–234.

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§36.14(ii).

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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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14: Brian R. Judd

… ► 1931 in Chelmsford, U. … Dieke Professor Emeritus in the Department of Physics and Astronomy at The Johns Hopkins University, Baltimore. ►Judd’s books include Operator Techniques in Atomic Spectroscopy, published by McGraw-Hill in 1963 and reprinted by Princeton University Press in 1998, Second Quantization and Atomic Spectroscopy, published by Johns Hopkins in 1967, Topics in Atomic and Nuclear Theory (with J. … Elliott), published by Caxton Press in 1971, and Angular Momentum Theory for Diatomic Molecules, published by Academic Press in 1975. … ►Judd served as a Validator for the original release and publication in May 2010 of the NIST Digital Library of Mathematical Functions and the NIST Handbook of Mathematical Functions.

15: Marjorie A. McClain

… ► 1956 in Ithaca, New York) is a mathematician in the Applied and Computational Mathematics Division of NIST where she has provided support for mathematical software libraries and assisted with numerical computing projects since 1979. More recently she has become an expert in the use of LaTeX and BibTex, and she has applied those skills in the preparation of the Latex documents for the DLMF chapters and in the development of the DLMF bibliography. She is the Associate Technical Editor for the DLMF project when she retired in September, 2021. ►McClain received a degree in mathematics from Bucknell University in 1978 and an M. …in mathematics from the University of Maryland, College Park, in 1984.

16: Gergő Nemes

… ► 1988 in Szeged, Hungary) is a Research Fellow at the Alfréd Rényi Institute of Mathematics in Budapest, Hungary. … ► in mathematics (with distinction) and a M. …in mathematics (with honours) from Loránd Eötvös University, Budapest, Hungary and a Ph. … in mathematics from Central European University in Budapest, Hungary. ►Nemes has research interests in asymptotic analysis, Écalle theory, exact WKB analysis, and special functions. …

17: David M. Bressoud

… ► 1950 in Bethlehem, Pennsylvania) is DeWitt Wallace Professor of Mathematics at Macalester College, St. … ►Bressoud has published numerous papers in number theory, combinatorics, and special functions. … 227, in 1980, Factorization and Primality Testing, published by Springer-Verlag in 1989, Second Year Calculus from Celestial Mechanics to Special Relativity, published by Springer-Verlag in 1992, A Radical Approach to Real Analysis, published by the Mathematical Association of America in 1994, with a second edition in 2007, Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture, published by the Mathematical Association of America and Cambridge University Press in 1999, A Course in Computational Number Theory (with S.  Wagon), published by Key College Press in 2000, and A Radical Approach to Lebesgue’s Theory of Integration, published by the Mathematical Association of America and Cambridge University Press in 2007. … Parson) of The Rademacher Legacy to Mathematics, published by the American Mathematical Society in 1994. …

18: Bibliography S

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Rational surfaces associated with affine root systems and geometry of the Painlevé equations. Comm. Math. Phys. 220 (1), pp. 165–229.

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External Links:

ISSN 0010-3616, Document, MathReview (I. Dolgachev), ZentralBlatt

Referenced by:

§32.7(viii).

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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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External Links:

Document, Link

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(18.40.9), §18.40(ii).

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Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity. 4th edition, Springer-Verlag, Berlin.

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Notes:

Volume 7 in Springer Series in Information Sciences.

External Links:

ZentralBlatt

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§27.16, §27.17.

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The Gaussian Function in Calculations of Statistical Mechanics and Quantum Mechanics. In Methods in Computational Physics: Advances in Research and Applications, B. Alder, S. Fernbach, and M. Rotenberg (Eds.), Vol. 2, pp. 1–45.

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§8.24(i), §8.24(iii).

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19: Bibliography B

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Asymptotic methods in enumeration. SIAM Rev. 16 (4), pp. 485–515.

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Document, MathReview (Bernard Harris), ZentralBlatt

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Ch.2.

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Some Geometric Aspects of Wave Motion: Wavefront Dislocations, Diffraction Catastrophes, Diffractals. In Geometry of the Laplace Operator (Proc. Sympos. Pure Math., Univ. Hawaii, Honolulu, Hawaii, 1979), Vol. 36, pp. 13–28.

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External Links:

MathReview (I. Stewart), ZentralBlatt

Referenced by:

§36.14(i).

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Singularities in Waves and Rays. In Les Houches Lecture Series Session XXXV, R. Balian, M. Kléman, and J.-P. Poirier (Eds.), Vol. 35, pp. 453–543.

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Referenced by:

§36.14(i).

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Vortices in Ginzburg-Landau Equations. In Proceedings of the International Congress of Mathematicians, Vol. III (Berlin, 1998), pp. 11–19.

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ISSN 1431-0643, FullText, MathReview Entry, ZentralBlatt

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§17.17.

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Approximations for the late coefficients in asymptotic expansions arising in the method of steepest descents. Methods Appl. Anal. 2 (4), pp. 475–489.

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ISSN 1073-2772, Pdf, MathReview (Dan Polis̆evski), ZentralBlatt

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§2.4(iv).

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20: 35.12 Software

… ►In this section we provide links to the research literature describing the implementation of algorithms in software for the evaluation of functions described in this chapter. Citations in the bulleted list refer to papers for which research software has been made available and can be downloaded via the Web. References to research software that is available in other ways is listed separately. ►

Demmel and Koev (2006). Computation of zonal polynomials in MATLAB.

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Koev and Edelman (2006). Computation of hypergeometric functions of matrix argument in MATLAB.

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