# spherical harmonics

(0.001 seconds)

## 11—16 of 16 matching pages

##### 11: Bibliography

…
►
SPHEREPACK 2.0: A Model Development Facility.
NCAR Technical Note
Technical Report TN-436-STR, National Center for Atmospheric Research.
…

##### 12: Bibliography H

…
►
The Theory of Spherical and Ellipsoidal Harmonics.
Cambridge University Press, London-New York.
…

##### 13: 15.17 Mathematical Applications

…
►

###### §15.17(iii) Group Representations

►For harmonic analysis it is more natural to represent hypergeometric functions as a Jacobi function (§15.9(ii)). …First, as spherical functions on noncompact Riemannian symmetric spaces of rank one, but also as associated spherical functions, intertwining functions, matrix elements of SL$(2,\mathbb{R})$, and spherical functions on certain nonsymmetric Gelfand pairs. Harmonic analysis can be developed for the Jacobi transform either as a generalization of the Fourier-cosine transform (§1.14(ii)) or as a specialization of a group Fourier transform. …##### 14: Bibliography V

…
►
Expansion of vacuum magnetic fields in toroidal harmonics.
Comput. Phys. Comm. 81 (1-2), pp. 74–90.
…
►
Some novel infinite series of spherical Bessel functions.
Quart. Appl. Math. 42 (3), pp. 321–324.
…

##### 15: 18.39 Physical Applications

…
►For a harmonic oscillator, the potential energy is given by
…
►when this is solved by separation of variables in spherical coordinates (§1.5(ii)).
…

##### 16: Bibliography D

…
►
Complex zeros of linear combinations of spherical Bessel functions and their derivatives.
SIAM J. Math. Anal. 4 (1), pp. 128–133.
…
►
The constrained quantum mechanical harmonic oscillator.
Proc. Cambridge Philos. Soc. 62, pp. 277–286.
…
►
Chebyshev series for the spherical Bessel function ${j}_{l}(r)$
.
Comput. Phys. Comm. 18 (1), pp. 73–86.
…