Coulomb
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21—30 of 59 matching pages
21: 17.17 Physical Applications
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►See Kassel (1995).
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►It involves -generalizations of exponentials and Laguerre polynomials, and has been applied to the problems of the harmonic oscillator and Coulomb potentials.
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22: 33.6 Power-Series Expansions in
§33.6 Power-Series Expansions in
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33.6.1
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33.6.2
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33.6.5
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►Corresponding expansions for can be obtained by combining (33.6.5) with (33.4.3) or (33.4.4).
23: 33.9 Expansions in Series of Bessel Functions
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§33.9(i) Spherical Bessel Functions
… ►where the function is as in §10.47(ii), , , and … ►§33.9(ii) Bessel Functions and Modified Bessel Functions
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33.9.3
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►For other asymptotic expansions of see Fröberg (1955, §8) and Humblet (1985).
24: 33.4 Recurrence Relations and Derivatives
§33.4 Recurrence Relations and Derivatives
… ►Then, with denoting any of , , or , ►
33.4.2
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33.4.3
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33.4.4
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25: 30.12 Generalized and Coulomb Spheroidal Functions
§30.12 Generalized and Coulomb Spheroidal Functions
►Generalized spheroidal wave functions and Coulomb spheroidal functions are solutions of the differential equation …26: 33.12 Asymptotic Expansions for Large
§33.12 Asymptotic Expansions for Large
►§33.12(i) Transition Region
►When and , the outer turning point is given by ; compare (33.2.2). … ►§33.12(ii) Uniform Expansions
… ►27: 33.21 Asymptotic Approximations for Large
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(b)
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§33.21(i) Limiting Forms
►We indicate here how to obtain the limiting forms of , , , and as , with and fixed, in the following cases: … ►§33.21(ii) Asymptotic Expansions
►For asymptotic expansions of and as with and fixed, see Curtis (1964a, §6).28: 13.28 Physical Applications
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