DLMF:14.7.E2 (Q4752): Difference between revisions

Revision as of 01:28, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:14.7.E2	No description defined

{\displaystyle{\displaystyle\mathsf{Q}^{0}_{n}\left(x\right)=\mathsf{Q}_{n}% \left(x\right)=\frac{1}{2}P_{n}\left(x\right)\ln\left(\frac{1+x}{1-x}\right)-W% _{n-1}(x),}}

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DLMF:14.7.E2

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{\displaystyle{\displaystyle\mathsf{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

C14.S3.E2.m2adec

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{\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}

C18.S3.T1.t1.r10.m2aadec

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{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2adec

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@@ Property / Symbols used @@
+principal branch of logarithm function
@@ Property / Symbols used: principal branch of logarithm function / rank @@
+Normal rank
@@ Property / Symbols used: principal branch of logarithm function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\ln\NVar{z}}}$ 
\ln@@{\NVar{z}}
@@ Property / Symbols used: principal branch of logarithm function / qualifier @@
+xml-id: C4.S2.E2.m2adec