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__TOC__
== Symbols in KLS Chapter 9 ==
== sec 1==




=== Section 9.1 [[Wilson|Wilson]] ===


==== [[Definition:normWilsonWtilde|normWilsonWtilde]] ====
<math display=block>
\normWilsonWtilde{n}@{x^2}{a}{b}{c}{d}:=\frac{\Wilson{n}@{x^2}{a}{b}{c}{d}}{\pochhammer{a+b}{n}\pochhammer{a+c}{n}\pochhammer{a+d}{n}}
</math><ref>[[Formula:KLS:09.01:06]]</ref>
==== [[Definition:monicWilson|monicWilson]] ====
<math display=block>
\Wilson{n}@{x^2}{a}{b}{c}{d}=:(-1)^n\pochhammer{n+a+b+c+d-1}{n}\monicWilson{n}@@{x^2}{a}{b}{c}{d}.
</math><ref>[[Formula:KLS:09.01:10]]</ref>


=== Section 9.2 [[Racah|Racah]] ===
==== [[Definition:monicRacah|monicRacah]] ====


asdf
<math display=block>
\Racah{n}@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta}=:
\frac{\pochhammer{n+\alpha+\beta+1}{n}}{\pochhammer{\alpha+1}{n}\pochhammer{\beta+\delta+1}{n}\pochhammer{\gamma+1}{n}}\monicRacah{n}@@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta}
</math><ref>[[Formula:KLS:09.02:14]]</ref>
=== Section 9.3 [[Continuous dual Hahn|Continuous dual Hahn]] ===


=== Section 9.4 [[Continuous Hahn|Continuous Hahn]] ===
==== [[Definition:normctsHahnptilde|normctsHahnptilde]] ====
<math display=block>
\normctsHahnptilde{n}@@{x}{a}{b}{c}{d}:=\normctsHahnptilde{n}@{x}{a}{b}{c}{d}=\frac{n!}{i^n\pochhammer{a+c}{n}\pochhammer{a+d}{n}}\ctsHahn{n}@{x}{a}{b}{c}{d}.
</math><ref>[[Formula:KLS:09.04:04]]</ref>


asdf
=== Section 9.5 [[Hahn|Hahn]] ===


=== Section 9.6 [[Dual Hahn|Dual Hahn]] ===


=== Section 9.7 [[Meixner-Pollaczek|Meixner-Pollaczek]] ===


asdf
=== Section 9.8 [[Jacobi|Jacobi]] ===


=== Section 9.9[[Jacobi: Special cases|Jacobi: Special cases]] ===


=== Section 9.10 [[Pseudo Jacobi|Pseudo Jacobi]] ===


adsf
=== Section 9.11 [[Meixner|Meixner]] ===


=== Section 9.12 [[Krawtchouk|Krawtchouk]] ===


asdf
=== Section 9.13 [[Laguerre|Laguerre]] ===


=== Section 9.14 [[Bessel|Bessel]] ===


=== Section 9.15 [[Charlier|Charlier]] ===


 
=== Section 9.16 [[Hermite|Hermite]] ===
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== sec 2==
 
 
 
 
 
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== sec 3==
 
 
 
 
 
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Latest revision as of 18:43, 13 July 2017

Symbols in KLS Chapter 9

Section 9.1 Wilson

normWilsonWtilde

[1]

monicWilson

[2]

Section 9.2 Racah

monicRacah

[3]

Section 9.3 Continuous dual Hahn

Section 9.4 Continuous Hahn

normctsHahnptilde

[4]

Section 9.5 Hahn

Section 9.6 Dual Hahn

Section 9.7 Meixner-Pollaczek

Section 9.8 Jacobi

Section 9.9Jacobi: Special cases

Section 9.10 Pseudo Jacobi

Section 9.11 Meixner

Section 9.12 Krawtchouk

Section 9.13 Laguerre

Section 9.14 Bessel

Section 9.15 Charlier

Section 9.16 Hermite