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11: Errata

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In (31.11.12), we have rewritten the gamma functions in the prefactor more concisely using Pochhammer symbols. It is mentioned just below (31.11.12) that (31.11.1) converges to (31.3.10) in the prescribed manner.

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In §3.7(iii), the symbol ${𝐀}_P$ is now being used in several places instead of $𝐀$ in order to disambiguate symbols.

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The wording was changed to make the integration variable more apparent.

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Poor spacing in math was corrected in several chapters.

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In ¶IEEE Standard (in §3.1(i)), the description was modified to reflect the most recent IEEE 754-2019 Floating-Point Arithmetic Standard IEEE (2019). In the new standard, single, double and quad floating-point precisions are replaced with new standard names of binary32, binary64 and binary128. Figure 3.1.1 has been expanded to include the binary128 floating-point memory positions and the caption has been updated using the terminology of the 2019 standard. A sentence at the end of Subsection 3.1(ii) has been added referring readers to the IEEE Standards for Interval Arithmetic IEEE (2015, 2018).

Suggested by Nicola Torracca.

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12: Philip J. Davis

… ► 1923 in Lawrence, Mass. … 2018) received an undergraduate degree in mathematics from Harvard College in 1943. During World War II he worked on problems in aerodynamics for the National Advisory Committee for Aeronautics (NACA) at Langley Airforce Base in Hampton, VA. …in mathematics in 1950 under the supervision of Ralph Boas. … ►This immediately led to discussions among some of the project members about what might be possible, and the discovery that some interactive graphics work had already been done for the NIST Matrix Market, a publicly available repository of test matrices for comparing the effectiveness of numerical linear algebra algorithms. …

13: 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 …

14: 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. …

15: 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.

16: 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.

17: 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. …

18: Michael V. Berry

… ► 1941 in Frimley, U. … ►Berry has received many awards for his work in physics. He was elected a Fellow of the Royal Society of London in 1982, and of the Royal Society of Edinburgh in 2005. He was knighted in 1996. …National Academy of Sciences in 1995, and of the Royal Netherlands Academy of Arts and Sciences in 2000. …

19: 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. …

20: Peter L. Walker

… ► 1942 in Dorchester, U. …He began his academic career in 1964 at the University of Lancaster, U. … ►Walker’s books are An Introduction to Complex Analysis, published by Hilger in 1974, The Theory of Fourier Series and Integrals, published by Wiley in 1986, Elliptic Functions. A Constructive Approach, published by Wiley in 1996, and Examples and Theorems in Analysis, published by Springer in 2004. … ►Walker is now retired and living in Cheltenham, UK. … ►In November 2015, Walker was named an Associate Editor for his chapters.