Zeitschrift für verallgemeinerte Lügentheorie und -anwendungen

Study on Models of the Lie Algebra G_u,v via Euler Integral Transformation

Abstract

Sarasvati Yadav* and Shaifali Thakur

In this paper, we construct two variable and three variable models of the irreducible representation of Lie Algebra Gu,v. The two variable models are then transformed in terms of difference-differential operators using the Euler integral transformation while the three variable models are transformed in terms of difference-differential operators using the two-fold Euler integral transformation. These models are then used to obtain some generating functions and recurrence relations.