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Meixner Polynomials and ID Para-Bose Oscillator
Reports on Mathematical Physics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bouzeffour, Fethi, Ben Mansour, Hanen
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Meixner Multiple Orthogonal Polynomials on Interlacing Lattices
Mathematical NotesThe authors consider the polynomials \(P_{n_1,n_2}\), which are orthogonal with respect to two discrete measures \[ \mu_j(y)=\sum_{x\in\gamma_j+\mathbb Z_{+}}R(x)\delta(y-x), \qquad j=1,2, \] where the weight function \(R\) is defined on lattices \(\gamma_j+\mathbb Z_{+}\) as a product of two classical Meixner measures, namely \[ R(x):=R_{\gamma_1 ...
Aptekarev, A. I. +2 more
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On asymptotics of the Meixner polynomials
Mathematical Notes, 1997The author states an extension to arbitrary real \(\alpha>-1\) of an asymptotic expression for the Meixner polynomials \(m_n^{\alpha}(x,h)\). The grid used is \(\{0,h,2h,\ldots\}\) and the polynomials are orthonormal with respect to the weight \[ p(x)=(1-e^{-h})^{\alpha +1}e^{-x}{\Gamma(x/h+\alpha +1)\over\Gamma(x/h+1)}. \] The result is \[ m_n^{\alpha}
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ON A CHARACTERIZATION OF MEIXNER'S POLYNOMIALS
The Quarterly Journal of Mathematics, 1966openaire +2 more sources
Jensen polynomials for the Riemann zeta function and other sequences
Proceedings of the National Academy of Sciences of the United States of America, 2019Larry G Rolen
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Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2011Satoru Odake
exaly