Abstract
We construct the relation between the 5-dimensional complex Lie algebra $\it{\mathcal{K}_5}$ and certain special functions. In this paper, we discuss the new three variable models of the irreducible representations of the Lie algebra $\it{\mathcal{K}_5}$. We use a two-fold Euler type integral transformation to obtain the new transformed models and hence various new recurrence relations in terms of Kampe de Feriet function are derived.
Version Information
The current pdf replaces the original pdf file, first available on 5 April 2022. The new version corrects the DOI prefix to read 10.32513.
Citation
Sarasvati Yadav. Geeta Rani. "The Lie algebra $\it{\mathcal{K}_5}$: three variable models and their connection with special functions." Adv. Studies: Euro-Tbilisi Math. J. 15 (1) 67 - 81, March 2022. https://doi.org/10.32513/asetmj/19322008205
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