Rutherford%20scattering
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31—40 of 121 matching pages
31: Bibliography C
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Asymptotic estimates for generalized Stirling numbers.
Analysis (Munich) 20 (1), pp. 1–13.
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Validated computation of certain hypergeometric functions.
ACM Trans. Math. Software 38 (2), pp. Art. 11, 20.
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Inverse Acoustic and Electromagnetic Scattering Theory.
2nd edition, Applied Mathematical Sciences, Vol. 93, Springer-Verlag, Berlin.
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Calculation of angular distributions in complex angular momentum theories of elastic scattering.
Molecular Physics 37 (6), pp. 1703–1712.
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Constraints on the phase of scattering amplitudes due to positivity.
Nuclear Phys. B 49, pp. 413–440.
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32: 36 Integrals with Coalescing Saddles
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33: Gergő Nemes
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►As of September 20, 2021, Nemes performed a complete analysis and acted as main consultant for the update of the source citation and proof metadata for every formula in Chapter 25 Zeta and Related Functions.
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34: Wolter Groenevelt
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►As of September 20, 2022, Groenevelt performed a complete analysis and acted as main consultant for the update of the source citation and proof metadata for every formula in Chapter 18 Orthogonal Polynomials.
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35: Bibliography S
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Transformations of the Jacobian amplitude function and its calculation via the arithmetic-geometric mean.
SIAM J. Math. Anal. 20 (6), pp. 1514–1528.
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Use of analyticity in the calculation of nonrelativistic scattering amplitudes.
Phys. Rev. 167, pp. 1411–1423.
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Variational calculations of scattering.
Ann. Phys. 16, pp. 36–50.
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Uniform asymptotic forms of modified Mathieu functions.
Quart. J. Mech. Appl. Math. 20 (3), pp. 365–380.
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A Maple package for symmetric functions.
J. Symbolic Comput. 20 (5-6), pp. 755–768.
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36: 33.24 Tables
37: 12.17 Physical Applications
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►Dean (1966) describes the role of PCFs in quantum mechanical systems closely related to the one-dimensional harmonic oscillator.
►Problems on high-frequency scattering in homogeneous media by parabolic cylinders lead to asymptotic methods for integrals involving PCFs.
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38: 36.14 Other Physical Applications
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►Applications include scattering of elementary particles, atoms and molecules from particles and surfaces, and chemical reactions.
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39: Bibliography L
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Algorithm 917: complex double-precision evaluation of the Wright function.
ACM Trans. Math. Software 38 (3), pp. Art. 20, 17.
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An asymptotic estimate for the Bernoulli and Euler numbers.
Canad. Math. Bull. 20 (1), pp. 109–111.
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Generating Bessel functions in Mie scattering calculations using continued fractions.
Applied Optics 15 (3), pp. 668–671.
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40: 27.15 Chinese Remainder Theorem
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►Their product has 20 digits, twice the number of digits in the data.
…These numbers, in turn, are combined by the Chinese remainder theorem to obtain the final result , which is correct to 20 digits.
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