On models of the Lie algebra K_5 and Lauricella functions using an integral transformation

Ayushi Kapoor; Vivek Sahai;


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

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