reduced residue system
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31—40 of 160 matching pages
31: 12.19 Tables
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Miller (1955) includes , , and reduced derivatives for , , 8D or 8S. Modulus and phase functions, and also other auxiliary functions are tabulated.
32: 25.11 Hurwitz Zeta Function
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has a meromorphic continuation in the -plane, its only singularity in being a simple pole at with residue
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►When , (25.11.10) reduces to (25.8.3); compare (25.11.11).
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►When , (25.11.35) reduces to (25.2.3).
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33: 19.3 Graphics
34: 33.22 Particle Scattering and Atomic and Molecular Spectra
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►With denoting here the elementary charge, the Coulomb potential between two point particles with charges and masses separated by a distance is , where are atomic numbers, is the electric constant, is the fine structure constant, and is the reduced Planck’s constant.
The reduced mass is , and at energy of relative motion with relative orbital angular momentum , the Schrödinger equation for the radial wave function is given by
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►For and , the electron mass, the scaling factors in (33.22.5) reduce to the Bohr radius, , and to a multiple of the Rydberg constant,
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35: Alexander A. Its
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►Current research areas of Its are mathematical physics, special functions, and integrable systems.
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36: Vadim B. Kuznetsov
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►Kuznetsov published papers on special functions and orthogonal polynomials, the quantum scattering method, integrable discrete many-body systems, separation of variables, Bäcklund transformation techniques, and integrability in classical and quantum mechanics.
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37: Wolter Groenevelt
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►Groenevelt’s research interests is in special functions and orthogonal polynomials and their relations with representation theory and interacting particle systems.
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