in terms of Whittaker functions
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1: 13.27 Mathematical Applications
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►The other group elements correspond to integral operators whose kernels can be expressed in terms of Whittaker functions.
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2: 13.23 Integrals
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§13.23(iv) Integral Transforms in terms of Whittaker Functions
… ►Generalized orthogonality integrals (33.14.13) and (33.14.15) can be expressed in terms of Whittaker functions via the definitions in that section.3: 13.18 Relations to Other Functions
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►For representations of Coulomb functions in terms of Whittaker functions see (33.2.3), (33.2.7), (33.14.4) and (33.14.7)
4: 28.8 Asymptotic Expansions for Large
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►The approximations are expressed in terms of Whittaker functions
and with ; compare §2.8(vi).
…With additional restrictions on , uniform asymptotic approximations for solutions of (28.2.1) and (28.20.1) are also obtained in terms of elementary functions by re-expansions of the Whittaker functions; compare §2.8(ii).
►Subsequently the asymptotic solutions involving either elementary or Whittaker functions are identified in terms of the Floquet solutions (§28.12(ii)) and modified Mathieu functions
(§28.20(iii)).
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5: 13.10 Integrals
6: 33.14 Definitions and Basic Properties
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33.14.14
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7: 32.10 Special Function Solutions
8: 18.39 Applications in the Physical Sciences
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►The spectrum is mixed as in §1.18(viii), with the discrete eigenvalues given by (18.39.18) and the continuous eigenvalues by () with corresponding eigenfunctions expressed in terms of Whittaker functions (13.14.3).
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►which corresponds to the exact results, in terms of Whittaker functions, of §§33.2 and 33.14, in the sense that projections onto the functions
, the functions bi-orthogonal to , are identical.
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