MMN-4275
On models of the Lie algebra K_5 and Lauricella functions using an integral transformation
Ayushi Kapoor; Vivek Sahai;Abstract
We construct new $(n+1)$-variable models of irreducible representations of the Lie algebra $\mathscr{K}_5$. An $n$-fold integral transformation is used to obtain a new set of models of $\mathscr{K}_5$ in terms of difference-differential operators. These models are further exploited to obtain recurrence relations, generating functions and addition theorems.
Vol. 25 (2024), No. 1, pp. 301-316