The Lie algebra K5: three variable models and their connection with special functions

S. Yadav, G. Rani

We construct the relation between the 5-dimensional complex Lie algebra K5 and certain special functions. In this paper, we discuss the new three variable models of the irreducible representations of the Lie algebra K5. 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.

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 15(1) (2022), pp. 67-81