11—16 of 16 matching pages
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.
§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, 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.
… ►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
Comput. Phys. Comm. 18 (1), pp. 73–86.