Some Special Functions of Noncommuting Variables |
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| Authors: | A. S. Hegazi M. Mansour |
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| Affiliation: | (1) Mathematics Department, Faculty of Science, Mansoura University, Mansoura, Egypt |
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| Abstract: | ![]()
In this paper we deal with q-commuting variables x and y satisfying the relation xy = qyx + (q – 1)y2 with q complex, 0 < |q| < 1. We study various functional equations for q-exponentials and we deduce some identities for q-special functions involving q-commuting variab les. |
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| Keywords: | quantum plane q-binomial formula q-Heisenberg algebra basic hypergeometric series |
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