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1: 20 Theta Functions
Chapter 20 Theta Functions
…2: 8 Incomplete Gamma and Related
Functions
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3: Sidebar 9.SB2: Interference Patterns in Caustics
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►The oscillating intensity of the interference fringes across the caustic is described by the Airy function.
4: William P. Reinhardt
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►His undergraduate and graduate degrees are from the University of California at Berkeley and Harvard University, respectively.
…Reinhardt is a frequent visitor to the NIST Physics Laboratory in Gaithersburg, and to the Joint Quantum Institute (JQI) and Institute for Physical Sciences and Technology (ISTP) at the University of Maryland.
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►Reinhardt was elected to Fellowship in: The American Physical Society 1980, the American Association for the Advancement of Science 1983, Phi Beta Kappa 1998, and The Institute of Physics (UK) 2000.
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►In November 2015, Reinhardt was named Senior Associate Editor of the DLMF and Associate Editor for Chapters 20, 22, and 23.
5: 36.5 Stokes Sets
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►Stokes sets are surfaces (codimension one) in space, across which or acquires an exponentially-small asymptotic contribution (in ), associated with a complex critical point of or .
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36.5.4
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36.5.7
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6: Sidebar 9.SB1: Supernumerary Rainbows
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►For each color, the intensity profile across the rainbow is an Airy function.
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7: 27 Functions of Number Theory
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8: 28 Mathieu Functions and Hill’s Equation
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9: 8.26 Tables
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Khamis (1965) tabulates for , to 10D.
Abramowitz and Stegun (1964, pp. 245–248) tabulates for , to 7D; also for , to 6S.
Pagurova (1961) tabulates for , to 4-9S; for , to 7D; for , to 7S or 7D.
Zhang and Jin (1996, Table 19.1) tabulates for , to 7D or 8S.
10: 23 Weierstrass Elliptic and Modular
Functions
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