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q-EXTENSION OF SOME SYMMETRICAL AND SEMI-CLASSICAL ORTHOGONAL POLYNOMIALS OF CLASS ONE

DOI: 10.2298/aadm0901078m

Keywords: q-difference operator , Hq-semi-classical polynomials

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Abstract:

We study in detail a q-extension of a symmetrical form (functional) of class one. We show that it is symmetrical and Hq-semi-classical of class one. The moments and a discrete representation are given.

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