publication . Article . Preprint . 2013

Multiple Meixner polynomials and non-Hermitian oscillator Hamiltonians

Ndayiragije, François; Van Assche, Walter;
Open Access
  • Published: 03 Oct 2013 Journal: Journal of Physics A: Mathematical and Theoretical, volume 46, page 505,201 (issn: 1751-8113, eissn: 1751-8121, Copyright policy)
  • Publisher: IOP Publishing
Abstract
Comment: 18 pages. Includes some corrections and a few minor additions
Subjects
free text keywords: Modelling and Simulation, Statistics and Probability, Mathematical Physics, General Physics and Astronomy, Statistical and Nonlinear Physics, Hahn polynomials, Mathematical analysis, Difference polynomials, Wilson polynomials, Meixner polynomials, Orthogonal polynomials, Kravchuk polynomials, Classical orthogonal polynomials, Discrete orthogonal polynomials, Mathematics, Mathematics - Classical Analysis and ODEs, 42C05, 33C47, 81R05
Related Organizations

[1] J. Arvesu´, J. Coussement, W. Van Assche, Some discrete multiple orthogonal polynomials, J. Comput. Appl. Math. 153 (2003), 19-45.

[2] T.S. Chihara, An Introduction to Orthogonal Polynomials, Mathematics and its Applications 13, Gordon and Breach, New York, 1978.

[3] M. Haneczok, W. Van Assche, Interlacing properties of zeros of multiple orthogonal polynomials, J. Math. Anal. Appl. 389 (2012), 429-438.

[4] M.E.H. Ismail, Classical and Quantum Orthogonal Polynomials in One Variable, Encyclopedia of Mathematics and its Applications 98, Cambridge University Press, 2005 (paperback edition, 2009).

[5] R. Koekoek, P.A. Lesky, R.F. Swarttouw, Hypergeometric Orthogonal Polynomials and Their q-Analogues, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2010.

[6] S.G. Krantz, Function Theory of Several Complex Variables, John Wiley & Sons, New York, 1982.

[7] H. Miki, L. Vinet, A. Zhedanov, Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials, Phys. Lett. A 376, nr. 2 (2011), 65-69.

[8] H. Miki, S. Tsujimoto, L. Vinet and A. Zhedanov, An algebraic model for the multiple Meixner polynomials of the first kind, J. Phys. A: Math. Theor. 45, nr. 32 (2012), 325205.

[9] H.M. Srivastava, P.W. Karlsson, Multiple Gaussian Hypergeometric Series, Ellis Horwood Ltd, Chichester, 1985.

[10] W. Van Assche, Nearest neighbor recurrence relations for multiple orthogonal polynomials, J. Approx. Theory 163 (2011), 1427-1448. [OpenAIRE]

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publication . Article . Preprint . 2013

Multiple Meixner polynomials and non-Hermitian oscillator Hamiltonians

Ndayiragije, François; Van Assche, Walter;