Hermite type ladders in q-Weyl algebras |
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| Authors: | Galina Filipuk Stefan Hilger |
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| Institution: | 1. Department of Mathematics, Informatics and Mechanics, University of Warsaw, .;2. Institute of Mathematics of the Polish Academy of Sciences, Warsaw, Poland.filipuk@mimuw.edu.pl;4. Mathematisch–Geographische Fakult?t, Katholische Universit?t Eichst?tt–Ingolstadt, Eichst?tt, Germany. |
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| Abstract: | In this paper we show that the q-deformed commutator for a ladder is related to the usual commutator of the modified ladder. In addition, we consider a family of ladders in the (q, h)-Weyl algebra, which gives a factorization of certain second order difference equations. |
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| Keywords: | Ladder (q h)-Weyl algebra difference equations factorization |
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