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11: Bonita V. Saunders
Her research interests include numerical grid generation, numerical solution of partial differential equations, and visualization of special functions. … This work has resulted in several published papers presented as contributed or invited talks at universities and regional, national, and international conferences. She has also used her work for another passion: inspiring the next generation of mathematical scientists with presentations at middle schools, high schools, colleges, and community centers.
12: 7.16 Generalized Error Functions
§7.16 Generalized Error Functions
Generalizations of the error function and Dawson’s integral are 0 x e t p d t and 0 x e t p d t . …
13: Barry I. Schneider
He is also a General Editor for the DLMF project. …Before coming to NIST in 2014, he was a postdoctoral research associate at the University of Southern California (1969-1970), and a staff member of the General Telephone and Electronics Laboratory (1970-1972). …In early 2014, he came to NIST as General Editor of the DLMF project. … He was a visiting scientist at NIST from 1995 to 2013 and spent a sabbatical year at NIST in 2000-2001. …
14: 16.26 Approximations
§16.26 Approximations
For discussions of the approximation of generalized hypergeometric functions and the Meijer G -function in terms of polynomials, rational functions, and Chebyshev polynomials see Luke (1975, §§5.12 - 5.13) and Luke (1977b, Chapters 1 and 9).
15: Browsers
If none of those solutions work for you, you may explicitly choose a format such as HTML+images, using images for mathematics, at Customize DLMF. Although we have attempted to follow standards and maintain backwards compatibility with older browsers, you will generally get the best results by upgrading to the latest version of your preferred browser.
16: 24.16 Generalizations
§24.16 Generalizations
For = 0 , 1 , 2 , , Bernoulli and Euler polynomials of order are defined respectively by … B n ( x ) is a polynomial in x of degree n . …
§24.16(ii) Character Analogs
§24.16(iii) Other Generalizations
17: 8.24 Physical Applications
§8.24 Physical Applications
§8.24(iii) Generalized Exponential Integral
With more general values of p , E p ( x ) supplies fundamental auxiliary functions that are used in the computation of molecular electronic integrals in quantum chemistry (Harris (2002), Shavitt (1963)), and also wave acoustics of overlapping sound beams (Ding (2000)).
18: About MathML
In rare cases, a browser lacks both MathML support and a robust enough javascript implementation capable of running MathJax; you may wish to visit the Customize DLMF page and choose the HTML+images document format. … As a general rule, using the latest available version of your chosen browser, plugins and an updated operating system is helpful. … Since the display of mathematics involves many special symbols not often seen in plain text, a MathML renderer generally needs special fonts. …
19: 4.44 Other Applications
§4.44 Other Applications
For applications of generalized exponentials and generalized logarithms to computer arithmetic see §3.1(iv). For an application of the Lambert W -function to generalized Gaussian noise see Chapeau-Blondeau and Monir (2002). …
20: 16.24 Physical Applications
§16.24 Physical Applications
§16.24(i) Random Walks
Generalized hypergeometric functions and Appell functions appear in the evaluation of the so-called Watson integrals which characterize the simplest possible lattice walks. …
§16.24(iii) 3 j , 6 j , and 9 j Symbols