caa a22 4500 46317819X CHVBK 20180406164831.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s11139-006-0258-9 doi (NATIONALLICENCE)springer-10.1007/s11139-006-0258-9 LU factorizations, q [Elektronische Daten] 0 limits, and p -adic interpretations of some q -hypergeometric orthogonal polynomials [Tom Koornwinder, Uri Onn] For little q-Jacobi polynomials and q-Hahn polynomials we give particular q-hypergeometric series representations in which the termwise q = 0 limit can be taken. When rewritten in matrix form, these series representations can be viewed as LU factorizations. We develop a general theory of LU factorizations related to complete systems of orthogonal polynomials with discrete orthogonality relations which admit a dual system of orthogonal polynomials. For the q = 0 orthogonal limit functions we discuss interpretations on p-adic spaces. In the little 0-Jacobi case we also discuss product formulas. Springer Science + Business Media, LLC, 2006 Little q -Jacobi polynomials nationallicence q -Hahn polynomials nationallicence q = 0 limits of q -special functions nationallicence p -adic interpretations of special functions nationallicence LU factorization nationallicence Koornwinder Tom Korteweg-de Vries Institute, University of Amsterdam, Plantage Muidergracht 24, 1018 TV, Amsterdam, The Netherlands aut Onn Uri Einstein Institute of Mathematics, Edmond Safra Campus, Givat Ram, The Hebrew University of Jerusalem, 91904, Jerusalem, Israel aut The Ramanujan Journal Kluwer Academic Publishers 13/1-3(2007-06-01), 365-387 1382-4090 13:1-3<365 2007 13 11139 https://doi.org/10.1007/s11139-006-0258-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11139-006-0258-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Koornwinder Tom Korteweg-de Vries Institute, University of Amsterdam, Plantage Muidergracht 24, 1018 TV, Amsterdam, The Netherlands aut NATIONALLICENCE 700 1- Onn Uri Einstein Institute of Mathematics, Edmond Safra Campus, Givat Ram, The Hebrew University of Jerusalem, 91904, Jerusalem, Israel aut NATIONALLICENCE 773 0- The Ramanujan Journal Kluwer Academic Publishers 13/1-3(2007-06-01), 365-387 1382-4090 13:1-3<365 2007 13 11139 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer