@@ Property / Symbols used @@
+Q10759
@@ Property / Symbols used: Q10759 / rank @@
+Normal rank
@@ Property / Symbols used: Q10759 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$ 
\Pochhammersym{\NVar{a}}{\NVar{n}}
@@ Property / Symbols used: Q10759 / qualifier @@
+xml-id: C5.S2.SS3.m1adec
@@ Property / Symbols used @@
+Q11592
@@ Property / Symbols used: Q11592 / rank @@
+Normal rank
@@ Property / Symbols used: Q11592 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\boldsymbol{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(% \NVar{z}\right)}}$ 
\assLegendreOlverQ[\NVar{\mu}]{\NVar{\nu}}@{\NVar{z}}
@@ Property / Symbols used: Q11592 / qualifier @@
+xml-id: C14.S21.SS1.p1.m3adec
@@ Property / Symbols used @@
+derivative of $$f$$  with respect to  $$x$$
@@ Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / rank @@
+Normal rank
@@ Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$ 
\deriv{\NVar{f}}{\NVar{x}}
@@ Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier @@
+xml-id: C1.S4.E4.m2addec
@@ Property / Symbols used @@
+Q11597
@@ Property / Symbols used: Q11597 / rank @@
+Normal rank
@@ Property / Symbols used: Q11597 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\boldsymbol{Q}_{\NVar{\nu}}\left(\NVar{z}\right)=% \boldsymbol{Q}^{0}_{\nu}\left(z\right)}}$ 
\assLegendreOlverQ[]{\NVar{\nu}}@{\NVar{z}}=\assLegendreOlverQ[0]{\nu}@{z}
@@ Property / Symbols used: Q11597 / qualifier @@
+xml-id: C14.S2.SS2.p2.m6adec
@@ 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.m1ddec
@@ Property / Symbols used @@
+Q11593
@@ Property / Symbols used: Q11593 / rank @@
+Normal rank
@@ Property / Symbols used: Q11593 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle m}}$ 
m
@@ Property / Symbols used: Q11593 / qualifier @@
+xml-id: C14.S1.XMD5.m1ddec
@@ 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.m1ddec

DLMF:14.6.E5 (Q4747): Difference between revisions

( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

𝑸 ν μ ⁡ ( z ) associated-Legendre-black-Q 𝜇 𝜈 𝑧 {\displaystyle{\displaystyle\boldsymbol{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(% \NVar{z}\right)}}

d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

𝑸 ν ⁡ ( z ) = 𝑸 ν 0 ⁡ ( z ) shorthand-associated-Legendre-black-Q 𝜈 𝑧 associated-Legendre-black-Q 0 𝜈 𝑧 {\displaystyle{\displaystyle\boldsymbol{Q}_{\NVar{\nu}}\left(\NVar{z}\right)=% \boldsymbol{Q}^{0}_{\nu}\left(z\right)}}

x 𝑥 {\displaystyle{\displaystyle x}}

m 𝑚 {\displaystyle{\displaystyle m}}

ν 𝜈 {\displaystyle{\displaystyle\nu}}

Latest revision as of 01:27, 2 January 2020

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${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$

${\displaystyle{\displaystyle\boldsymbol{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(% \NVar{z}\right)}}$

${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$

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

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle m}}$

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