DLMF:14.7.E7 (Q4759): Difference between revisions

Revision as of 01:28, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:14.7.E7	No description defined

{\displaystyle{\displaystyle Q_{n}\left(x\right)=\frac{1}{2}P_{n}\left(x\right% )\ln\left(\frac{x+1}{x-1}\right)-W_{n-1}(x),}}

0 references

DLMF:14.7.E7

0 references

{\displaystyle{\displaystyle n=0,1,2,\dots}}

0 references

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

C18.S3.T1.t1.r10.m2acdec

0 references

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

C4.S2.E2.m2aadec

0 references

{\displaystyle{\displaystyle Q_{\NVar{\nu}}\left(\NVar{z}\right)=Q^{0}_{\nu}% \left(z\right)}}

C14.S2.SS2.p2.m5aadec

0 references

@@ Property / Symbols used @@
+Q11448
@@ Property / Symbols used: Q11448 / rank @@
+Normal rank
@@ Property / Symbols used: Q11448 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle Q_{\NVar{\nu}}\left(\NVar{z}\right)=Q^{0}_{\nu}% \left(z\right)}}$ 
\assLegendreQ[]{\NVar{\nu}}@{\NVar{z}}=\assLegendreQ[0]{\nu}@{z}
@@ Property / Symbols used: Q11448 / qualifier @@
+xml-id: C14.S2.SS2.p2.m5aadec