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in terms of Whittaker functions

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1: 13.27 Mathematical Applications
The other group elements correspond to integral operators whose kernels can be expressed in terms of Whittaker functions. …
2: 13.23 Integrals
§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
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 q
The approximations are expressed in terms of Whittaker functions W κ , μ ( z ) and M κ , μ ( z ) with μ = 1 4 ; compare §2.8(vi). …With additional restrictions on z , 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 me ν ( z , q ) 28.12(ii)) and modified Mathieu functions M ν ( j ) ( z , h ) 28.20(iii)). …
5: 13.10 Integrals
For integral transforms in terms of Whittaker functions see §13.23(iv). …
6: 33.14 Definitions and Basic Properties
33.14.14 ϕ n , ( r ) = ( 1 ) + 1 + n ( 2 / n 3 ) 1 / 2 s ( 1 / n 2 , ; r ) = ( 1 ) + 1 + n n + 2 ( ( n 1 ) ! ( n + ) ! ) 1 / 2 ( 2 r ) + 1 e r / n L n 1 ( 2 + 1 ) ( 2 r / n )
7: 32.10 Special Function Solutions
P V  then has solutions expressible in terms of Whittaker functions13.14(i)), iff …
8: 18.39 Applications in the Physical Sciences
The spectrum is mixed as in §1.18(viii), with the discrete eigenvalues given by (18.39.18) and the continuous eigenvalues by ( α γ ) 2 / ( 2 m ) ( γ 0 ) with corresponding eigenfunctions e α ( x x e ) / 2 W λ , i γ ( 2 λ e α ( x x e ) ) expressed in terms of Whittaker functions (13.14.3). … 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 ϕ n , l ( s r ) / r , the functions bi-orthogonal to ϕ n , l ( s r ) , are identical. …
9: 18.15 Asymptotic Approximations
These expansions are in terms of Whittaker functions13.14). …
10: 2.8 Differential Equations with a Parameter
For examples of uniform asymptotic approximations in terms of Whittaker functions with fixed second parameter see §18.15(i) and §28.8(iv). …