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Mitter, H.; Yamazaki, K.

A representation for spherical harmonics of a rotated argument. (English) Zbl 0549.33002

Lett. Math. Phys. 8, 325-327 (1984).
Summary: By means of a factorization formula given in the authors’ previous letter reviewed above, we derive a representation for spherical harmonics of a rotated argument in terms of those with an unrotated one.

MSC:

33B10 Exponential and trigonometric functions
33C55 Spherical harmonics

Keywords:

exponential operators; factorization formula; spherical harmonics of a rotated argument

Citations:

Zbl 0549.33001
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Full Text: DOI

References:

[1] Mitter, H. and Yamazaki, K., Lett. Math. Phys. 8, 321-324 (1984). · Zbl 0549.33001 · doi:10.1007/BF00400503
[2] Erdélyi, A. (ed.), Higher Transcendental Functions, vol. II, McGraw-Hill, New York, 1953. · Zbl 0051.30303
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