Generating Functions for Spherical Harmonics and Spherical Monogenics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10287074" target="_blank" >RIV/00216208:11320/14:10287074 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00006-014-0495-8" target="_blank" >http://dx.doi.org/10.1007/s00006-014-0495-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00006-014-0495-8" target="_blank" >10.1007/s00006-014-0495-8</a>
Alternative languages
Result language
angličtina
Original language name
Generating Functions for Spherical Harmonics and Spherical Monogenics
Original language description
In this paper, we study generating functions for the standard orthogonal bases of spherical harmonics and spherical monogenics. Here spherical monogenics are polynomial solutions of the Dirac equation. 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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Advances in Applied Clifford Algebras
ISSN
0188-7009
e-ISSN
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Volume of the periodical
24
Issue of the periodical within the volume
4
Country of publishing house
CH - SWITZERLAND
Number of pages
10
Pages from-to
995-1004
UT code for WoS article
000345098000008
EID of the result in the Scopus database
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