Classical and quantum orthogonal polynomials in one variable
By J. J. Foncannon. 2008
1,108 citations recorded by the source corpus.
Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/72cf08cd3a2eed8cc997674c8c336334b327a134
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In Applied Mathematics
- A. Selberg
- Robert C. Griffiths
- Mourad E. H. Ismail
- Peter J. Forrester
- Arno B. J. Kuijlaars
- Persi Diaconis
- Kshitij Khare
- Plamen Simeonov
In Atomic and Molecular Physics, and Optics
- A. Selberg
- Robert C. Griffiths
- Mourad E. H. Ismail
- Peter J. Forrester
- Arno B. J. Kuijlaars
- Persi Diaconis
- Kshitij Khare
- Plamen Simeonov
In Computational Theory and Mathematics
- A. Selberg
- Robert C. Griffiths
- Mourad E. H. Ismail
- Peter J. Forrester
- Arno B. J. Kuijlaars
- Persi Diaconis
- Kshitij Khare
- Plamen Simeonov
Citations in the corpus
- Complex Hermite polynomials: Their combinatorics and integral operators (2014, background): “1) is equivalent to the generating function ([18], [11]), (1.”
- Multiple orthogonal polynomial ensembles (2009, background): “See the books [44, 59] and the survey papers [3, 8, 65, 66] for these aspects of MOPs.”
- The importance of the Selberg integral (2007, background): “The integrand on the left is the weight function of the Jacobi polynomials P (α,β) n (x) [6, 75].”
- RATES OF CONVERGENCE OF SOME MULTIVARIATE MARKOV CHAINS WITH POLYNOMIAL EIGENFUNCTIONS (2009, background): “An important multilinear generating function formula ([29], Example 4.”
- Dunkl shift operators and Bannai-Ito polynomials (2011, neutral): “characterizing the Askey-Wilson grids [14], [24].”
- An introduction to multivariate Krawtchouk polynomials and their applications (2013, background): “Background, motivation and references are in Ismail (2005) or Hounkonnou Belmedhi and Ronveaux (2000).”
- Orthogonal polynomials (2005, neutral): “results see Aptekarev [8], Van Assche [95], Van Assche’s Chapter 23 in [39] and the references therein.”
- Analytic properties of complex Hermite polynomials (2015, background): “The Christoffel–Darboux identities for Laguerre polynomials are ([39], [21]) n ∑”