Generating Functions for Spherical Harmonics and Spherical Monogenics

被引：2

作者：

Cerejeiras, P. ^{[1
]}

Kaehler, U. ^{[1
]}

Lavicka, R. ^{[2
]}

机构：

[1] Univ Aveiro, CIDMA Ctr Res & Dev Math & Applicat, Dept Math, P-3810193 Aveiro, Portugal

[2] Charles Univ Prague, Fac Math & Phys, Prague 18675 8, Czech Republic

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2014年 / 24卷 / 04期

关键词：

Spherical harmonics; spherical monogenics; Gelfand-Tsetlin basis; orthogonal basis; generating function; GELFAND-TSETLIN BASES; DE RHAM SYSTEMS;

D O I：

10.1007/s00006-014-0495-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study generating functions for the standard orthogonal bases of spherical harmonics and spherical monogenics in . Here spherical monogenics are polynomial solutions of the Dirac equation in . In particular, we obtain the recurrence formula which expresses the generating function in dimension m in terms of that in dimension m-1. Hence we can find closed formul' of generating functions in by induction on the dimension m.

引用

页码：995 / 1004

页数：10

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