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q-Meixner–Pollaczek polynomials

q-Meixner–Pollaczek polynomials

In mathematics, the q are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give a detailed list of their properties.

Definition

The polynomials are given in terms of basic hypergeometric functions and the Pochhammer symbol by ：[1]

References

[1]
Citation Linkopenlibrary.orgRoelof Koekoek, Hypergeometric Orthogonal Polynomials and its q-Analoques, p 460,Springer
Oct 1, 2019, 4:37 PM
[2]
Citation Link//doi.org/10.2277%2F052183357410.2277/0521833574
Oct 1, 2019, 4:37 PM
[3]
Citation Link//www.ams.org/mathscinet-getitem?mr=21287192128719
Oct 1, 2019, 4:37 PM
[4]
Citation Link//doi.org/10.1007%2F978-3-642-05014-510.1007/978-3-642-05014-5
Oct 1, 2019, 4:37 PM
[5]
Citation Link//www.ams.org/mathscinet-getitem?mr=26560962656096
Oct 1, 2019, 4:37 PM
[6]
Citation Linkdlmf.nist.govhttp://dlmf.nist.gov/18
Oct 1, 2019, 4:37 PM
[7]
Citation Link//www.ams.org/mathscinet-getitem?mr=27232482723248
Oct 1, 2019, 4:37 PM
[8]
Citation Linkdoi.org10.2277/0521833574
Oct 1, 2019, 4:37 PM
[9]
Citation Linkwww.ams.org2128719
Oct 1, 2019, 4:37 PM
[10]
Citation Linkdoi.org10.1007/978-3-642-05014-5
Oct 1, 2019, 4:37 PM
[11]
Citation Linkwww.ams.org2656096
Oct 1, 2019, 4:37 PM
[12]
Citation Linkdlmf.nist.govhttp://dlmf.nist.gov/18
Oct 1, 2019, 4:37 PM
[13]
Citation Linkwww.ams.org2723248
Oct 1, 2019, 4:37 PM
[14]
Citation Linken.wikipedia.orgThe original version of this page is from Wikipedia, you can edit the page right here on Everipedia.Text is available under the Creative Commons Attribution-ShareAlike License.Additional terms may apply.See everipedia.org/everipedia-termsfor further details.Images/media credited individually (click the icon for details).
Oct 1, 2019, 4:37 PM