Lie theory and the Lauricella functions FD

Willard Miller

doi:10.1063/1.1666152

Lie theory and the Lauricella functions F_D

Willard Miller

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

It is shown that the Lauricella functions F_D in n variables transform as basis vectors corresponding to irreducible representations of the Lie algebra sl(n + 3, ℂ). Group representation theory can then be applied to derive addition theorems, transformation formulas, and generating functions for the F_D. It is clear from this analysis that the use of SL(m, ℍ) symmetry in atomic and elementary particle physics will lead inevitably to the remarkable functions F_D.

Original language	English (US)
Pages (from-to)	1393-1399
Number of pages	7
Journal	Journal of Mathematical Physics
Volume	13
Issue number	9
DOIs	https://doi.org/10.1063/1.1666152
State	Published - 1972
Externally published	Yes

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Lie theory and the Lauricella functions F_D

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