@@ Property / Symbols used @@
+Q10811
@@ Property / Symbols used: Q10811 / rank @@
+Normal rank
@@ Property / Symbols used: Q10811 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Re}}$ 
\realpart@@
@@ Property / Symbols used: Q10811 / qualifier @@
+xml-id: C1.S9.E2.m1acdec
@@ Property / Symbols used @@
+Q11447
@@ Property / Symbols used: Q11447 / rank @@
+Normal rank
@@ Property / Symbols used: Q11447 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle P_{\NVar{\nu}}\left(\NVar{z}\right)=P^{0}_{\nu}% \left(z\right)}}$ 
\assLegendreP[]{\NVar{\nu}}@{\NVar{z}}=\assLegendreP[0]{\nu}@{z}
@@ Property / Symbols used: Q11447 / qualifier @@
+xml-id: C14.S2.SS2.p2.m3adec
@@ 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.m5adec
@@ Property / Symbols used @@
+Q11589
@@ Property / Symbols used: Q11589 / rank @@
+Normal rank
@@ Property / Symbols used: Q11589 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q11589 / qualifier @@
+xml-id: C14.S1.XMD1.m1pdec
@@ Property / Symbols used @@
+Q11590
@@ Property / Symbols used: Q11590 / rank @@
+Normal rank
@@ Property / Symbols used: Q11590 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\nu}}$ 
\nu
@@ Property / Symbols used: Q11590 / qualifier @@
+xml-id: C14.S1.XMD8.m1kdec

DLMF:14.17.E18 (Q4899): Difference between revisions

ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}

P ν ⁡ ( z ) = P ν 0 ⁡ ( z ) shorthand-Legendre-P-first-kind 𝜈 𝑧 Legendre-P-first-kind 0 𝜈 𝑧 {\displaystyle{\displaystyle P_{\NVar{\nu}}\left(\NVar{z}\right)=P^{0}_{\nu}% \left(z\right)}}

Q ν ⁡ ( z ) = Q ν 0 ⁡ ( z ) shorthand-Legendre-Q-second-kind 𝜈 𝑧 Legendre-Q-second-kind 0 𝜈 𝑧 {\displaystyle{\displaystyle Q_{\NVar{\nu}}\left(\NVar{z}\right)=Q^{0}_{\nu}% \left(z\right)}}

x 𝑥 {\displaystyle{\displaystyle x}}

ν 𝜈 {\displaystyle{\displaystyle\nu}}

Latest revision as of 13:26, 2 January 2020

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${\displaystyle{\displaystyle\Re}}$

${\displaystyle{\displaystyle P_{\NVar{\nu}}\left(\NVar{z}\right)=P^{0}_{\nu}% \left(z\right)}}$

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

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle\nu}}$