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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: 28 Mathieu Functions and Hill’s Equation
Chapter 28 Mathieu Functions and Hill’s Equation
…6: Simon Ruijsenaars
7: Gerhard Wolf
8: 27.2 Functions
9: 31.18 Methods of Computation
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►The computation of the accessory parameter for the Heun functions is carried out via the continued-fraction equations (31.4.2) and (31.11.13) in the same way as for the Mathieu, Lamé, and spheroidal wave functions in Chapters 28–30.
10: Bibliography B
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Algorithms for computing Bessel functions of half-integer order with complex arguments.
Zh. Vychisl. Mat. i Mat. Fiz. 28 (10), pp. 1449–1460, 1597.
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Algorithms for evaluating spherical Bessel functions in the complex domain.
Zh. Vychisl. Mat. i Mat. Fiz. 28 (12), pp. 1779–1788, 1918.
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Products of generalized hypergeometric series.
Proc. London Math. Soc. (2) 28 (2), pp. 242–254.
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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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Two cold atoms in a harmonic trap.
Found. Phys. 28 (4), pp. 549–559.
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