Evaluation of a certain q-determinant

Linear Algebra and Its Applications

Volumn 342, Issue 1-3, 2002, Pages 107-115

  Nishizawa, Michitomo ^a  

^a WASEDA UNIVERSITY   (Japan)

Author keywords

Mehta Wang's determinant; Meixner Pollaczek polynomial; q Series

Indexed keywords

LINEAR ALGEBRA;

POLLACZEK POLYNOMIALS; Q-ANALOGUES; Q-SERIES; RECURRENCE RELATIONS;

MATHEMATICAL TECHNIQUES;

EID: 84887483757     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(01)00438-4     Document Type: Article

References (7)

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3. R. Koekoek, R.F. Swarttouw, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue, Department of Technical Mathematics and Informations, Faculty of Information Technology and Systems, Deift University of Technology, Reports no. 98-17, 1998.
4. Mehta, M.L., Normand, J.-M., Probability density of the determinant of a random matrix. J. Phys. A 31 (1998), 5377–5391.
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6. Terasoma, T., Determinants of q-hypergeometric functions and another proof of the Askey conjecture. Math. Z. 226 (1997), 499–512.
7. Wilson, J., Orthogonal function from gram determinants. SIAM J. Math. Anal. 22 (1991), 1147–1155.