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31: 6.18 Methods of Computation

§6.18 Methods of Computation

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§6.18(ii) Auxiliary Functions

►Power series, asymptotic expansions, and quadrature can also be used to compute the functions $\mathrm{f}\left(z\right)$ and $\mathrm{g}\left(z\right)$. … ►

§6.18(iii) Zeros

… ►For a comprehensive survey of computational methods for the functions treated in this chapter, see van der Laan and Temme (1984, Ch. IV).

32: 18.42 Software

… ►A more complete list of available software for computing these functions, and for generating formulas symbolically, is found in the Software Index. … ►

CAOP (website). Computer Algebra and Orthogonal Polynomials.

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33: 35.12 Software

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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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34: Brian Antonishek

… ►Antonishek received the Bachelor of Science degree in computer science from the University of Pittsburgh, Johnstown, Pennsylvania, in 1990 and the Master of Science degree in computer science from the University of Pittsburgh, Pittsburgh, Pennsylvania, in 1996. …

35: Amparo Gil

… … ► 1969 in Villarrobledo, Spain) is Associate Professor in the Department of Applied Mathematics and Computer Science in the Universidad de Cantabria, Spain. …

36: Javier Segura

… … ► 1965 in Novelda, Spain) is professor of mathematical analysis at the Department of Mathematics, Statistics and Computation, University of Cantabria, Spain. …

37: 9.14 Incomplete Airy Functions

… ►For information, including asymptotic approximations, computation, and applications, see Levey and Felsen (1969), Constantinides and Marhefka (1993), and Michaeli (1996).

38: Bonita V. Saunders

… … ►Bonita V. Saunders, born in Portsmouth, Virginia, is a member of the Applied and Computational Mathematics Division of the Information Technology Laboratory at the National Institute of Standards and Technology. … ►in computational and applied mathematics from Old Dominion University, Norfolk, Virginia. … ►As the principal developer of graphics for the DLMF, she has collaborated with other NIST mathematicians, computer scientists, and student interns to produce informative graphs and dynamic interactive visualizations of elementary and higher mathematical functions over both simply and multiply connected domains. …

39: 4.44 Other Applications

§4.44 Other Applications

… ►For applications of generalized exponentials and generalized logarithms to computer arithmetic see §3.1(iv). …

40: 11.13 Methods of Computation

§11.13 Methods of Computation

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§11.13(i) Introduction

►Subsequent subsections treat the computation of Struve functions. …For a review of methods for the computation of ${𝐇}_{\nu }\left(z\right)$ see Zanovello (1975). … ►Sequences of values of ${𝐇}_{\nu }\left(z\right)$ and ${𝐋}_{\nu }\left(z\right)$, with $z$ fixed, can be computed by application of the inhomogeneous difference equations (11.4.23) and (11.4.25). …