The Journal of the Indian Mathematical Society

Vivek Sahai ¹, Shalini Srivastava ¹

Affiliations
1 Department of Mathematics & Astronomy, Lucknow University, Lucknow-226007, IN

Abstract

We construct new two variable models o f irreducible (q-representations o f the Lie algebra sl (2,¢). The q-Euler integral transformation is used to transform the models in the form of q-difference dilation operators. These models are further used to obtain some interesting identities.

Keywords

Lie Algebra Sl (2,¢), Q-Representations, Q-Integral Transformation, Q-Hypergeometric Functions.

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Vivek Sahai ¹, Shalini Srivastava ¹

Affiliations
1 Department of Mathematics & Astronomy, Lucknow University, Lucknow-226 007, IN

Abstract

An attempt is made to construct models o f Lie algebra G(0, 1). A two fold integral transformation similar to Euler transformation is used to transform the models in the form of difference-differential operators. These models are further used to obtain recurrence relations and generating functions.

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