DLMF:18.35.E7 (Q6046): Difference between revisions

Revision as of 13:30, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:18.35.E7	No description defined

{\displaystyle{\displaystyle(1-ze^{\mathrm{i}\theta})^{-\lambda+\mathrm{i}\tau% _{a,b}(\theta)}(1-ze^{-\mathrm{i}\theta})^{-\lambda-\mathrm{i}\tau_{a,b}(% \theta)}=\sum_{n=0}^{\infty}P^{(\lambda)}_{n}\left(\cos\theta;a,b\right)z^{n},}}

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DLMF:18.35.E7

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{\displaystyle{\displaystyle 0<\theta<\pi}}

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{\displaystyle{\displaystyle P^{(\NVar{\lambda})}_{\NVar{n}}\left(\NVar{x};% \NVar{a},\NVar{b}\right)}}

C18.S35.E4.m2addec

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@@ Property / Symbols used @@
+Pollaczek polynomial
@@ Property / Symbols used: Pollaczek polynomial / rank @@
+Normal rank
@@ Property / Symbols used: Pollaczek polynomial / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle P^{(\NVar{\lambda})}_{\NVar{n}}\left(\NVar{x};% \NVar{a},\NVar{b}\right)}}$ 
\PollaczekpolyP{\NVar{\lambda}}{\NVar{n}}@{\NVar{x}}{\NVar{a}}{\NVar{b}}
@@ Property / Symbols used: Pollaczek polynomial / qualifier @@
+xml-id: C18.S35.E4.m2addec