Definition:monicMeixnerPollaczek

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The LaTeX DLMF and DRMF macro \monicMeixnerPollaczek represents the monic Meixner Pollaczek polynomial.

This macro is in the category of polynomials.

In math mode, this macro can be called in the following ways:

\monicMeixnerPollaczek{\lambda}{n} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{P}}^{(\lambda)}_{n}}}}$

\monicMeixnerPollaczek{\lambda}{n}@{x}{\phi} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{P}}^{(\lambda)}_{n}\!\left(x;\phi\right)}}}$

\monicMeixnerPollaczek{\lambda}{n}@@{x}{\phi} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{P}}^{(\lambda)}_{n}\!\left(x\right)}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle P^{(\lambda)}_{n}\!\left(x;\phi\right)=:\frac{(2\sin\phi)^{n}}{n!}{\widehat{P}}^{(\lambda)}_{n}\!\left(x\right).}}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle{\widehat{P}}^{(\alpha)}_{n}}}}$ : monic Meixner-Pollaczek polynomial : http://drmf.wmflabs.org/wiki/Definition:monicMeixnerPollaczek
${\displaystyle{\displaystyle{\displaystyle P^{(\alpha)}_{n}}}}$ : Meixner-Pollaczek polynomial : http://dlmf.nist.gov/18.19#P3.p1
${\displaystyle{\displaystyle{\displaystyle\mathrm{sin}}}}$ : sine function : http://dlmf.nist.gov/4.14#E1

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