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1: DLMF Project News
error generating summary2: Foreword
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►However, we have also seen the birth of a new age of computing technology, which has not only changed how we utilize special functions, but also how we communicate technical information.
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3: Frank W. J. Olver
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►Having witnessed the birth of the computer age firsthand (as a colleague of Alan Turing at NPL, for example), Olver is also well known for his contributions to the development and analysis of numerical methods for computing special functions.
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►He continued his editing work until the time of his death on April 22, 2013 at age 88.
4: Publications
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R. Boisvert, C. W. Clark, D. Lozier and F. Olver (2011)
A Special Functions Handbook for the Digital Age,
Notices of the American Mathematical Society
58, 7 (2011), pp. 905–911.
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5: 30.17 Tables
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Hanish et al. (1970) gives and , , and their first derivatives, for , , . The range of is given by if , or , if . Precision is 18S.
Van Buren et al. (1975) gives , for , , . Precision is 8S.
6: 26.2 Basic Definitions
7: Bibliography U
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Integrals with a large parameter. Several nearly coincident saddle-points.
Proc. Cambridge Philos. Soc. 72, pp. 49–65.
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8: Bibliography Y
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Coulomb wave functions in repulsive fields.
Phys. Rev. 49 (2), pp. 174–189.
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9: 35.1 Special Notation
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►Related notations for the Bessel functions are (Faraut and Korányi (1994, pp. 320–329)), (Terras (1988, pp. 49–64)), and (Faraut and Korányi (1994, pp. 357–358)).
10: 6.14 Integrals
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