The Journal of the Indian Mathematical Society

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On Models of Q-Representations of SL (2,¢) and Q-Euler Integral Transformation


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

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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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  • On Models of Q-Representations of SL (2,¢) and Q-Euler Integral Transformation

Abstract Views: 220  |  PDF Views: 3

Authors

Vivek Sahai
Department of Mathematics & Astronomy, Lucknow University, Lucknow-226007, India
Shalini Srivastava
Department of Mathematics & Astronomy, Lucknow University, Lucknow-226007, India

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.