eta function
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11—20 of 73 matching pages
11: 20.3 Graphics
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12: 33.24 Tables
§33.24 Tables
…13: 33.12 Asymptotic Expansions for Large
§33.12 Asymptotic Expansions for Large
►§33.12(i) Transition Region
… ►Then as , … ►§33.12(ii) Uniform Expansions
… ►14: 33.4 Recurrence Relations and Derivatives
§33.4 Recurrence Relations and Derivatives
… ►Then, with denoting any of , , or , …15: 33.13 Complex Variable and Parameters
§33.13 Complex Variable and Parameters
►The functions , , and may be extended to noninteger values of by generalizing , and supplementing (33.6.5) by a formula derived from (33.2.8) with expanded via (13.2.42). ►These functions may also be continued analytically to complex values of , , and . … ►
33.13.1
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33.13.2
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16: 33.25 Approximations
§33.25 Approximations
…17: 33.1 Special Notation
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►The main functions treated in this chapter are first the Coulomb radial functions
, , (Sommerfeld (1928)), which are used in the case of repulsive Coulomb interactions, and secondly the functions
, , , (Seaton (1982, 2002a)), which are used in the case of attractive Coulomb interactions.
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Greene et al. (1979):
, , .