# Generating functions for the {\mathfrak{osp}}(1| 2) Clebsch-Gordan coefficients

@article{Bergeron2016GeneratingFF, title={Generating functions for the \{\mathfrak\{osp\}\}(1| 2) Clebsch-Gordan coefficients}, author={Geoffroy Bergeron and Luc Vinet}, journal={Journal of Physics A}, year={2016}, volume={49}, pages={115202} }

Generating functions for Clebsch–Gordan coefficients of are derived. These coefficients are expressed as limits of the dual q-Hahn polynomials. The generating functions are obtained using two different approaches respectively based on the coherent-state representation and the position representation of

## 4 Citations

Convolution identities for Dunkl orthogonal polynomials from the osp(1|2) Lie superalgebra

- Mathematics, PhysicsJournal of Mathematical Physics
- 2019

New convolution identities for orthogonal polynomials belonging to the q = −1 analog of the Askey-scheme are obtained. Specialization of the Chihara polynomials will play a central role as the…

Generating function for the Bannai-Ito polynomials

- Mathematics, PhysicsProceedings of the American Mathematical Society
- 2018

<p>A generating function for the Bannai-Ito polynomials is derived using the fact that these polynomials are known to be essentially the Racah or <inline-formula content-type="math/mathml">
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A Howe correspondence for the algebra of the osp(1|2) Clebsch-Gordan coefficients

- Physics, Mathematics
- 2020

Abstract Two descriptions of the dual −1 Hahn algebra are presented and shown to be related under Howe duality. The dual pair involved is formed by the Lie algebra o ( 4 ) and the Lie superalgebra…

Superintegrability and the dual −1 Hahn algebra in superconformal quantum mechanics

- Physics, Mathematics
- 2020

A two-dimensional superintegrable system of singular oscillators with internal degrees of freedom is identified and exactly solved. Its symmetry algebra is seen to be the dual $-1$ Hahn algebra which…

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