DLMF:10.22.E47 (Q3421): Difference between revisions

@@ Property / constraint @@
+ ${\displaystyle{\displaystyle a>0,\Re b>0,-\tfrac{1}{2}<\Re\nu<\tfrac{5}{2}}}$ 
a>0,\realpart@@{b}>0,-\tfrac{1}{2}<\realpart@@{\nu}<\tfrac{5}{2}
+Normal rank
@@ Property / Symbols used @@
+Bessel function of the second kind
@@ Property / Symbols used: Bessel function of the second kind / rank @@
+Normal rank
@@ Property / Symbols used: Bessel function of the second kind / qualifier @@
+test:  ${\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}$ 
\BesselY{\NVar{\nu}}@{\NVar{z}}
@@ Property / Symbols used: Bessel function of the second kind / qualifier @@
+xml-id: C10.S2.E3.m2afdec
@@ Property / Symbols used @@
+Q10770
@@ Property / Symbols used: Q10770 / rank @@
+Normal rank
@@ Property / Symbols used: Q10770 / qualifier @@
+test:  ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$ 
\diff{\NVar{x}}
@@ Property / Symbols used: Q10770 / qualifier @@
+xml-id: C1.S4.SS4.m1aatdec
@@ Property / Symbols used @@
+Q10771
@@ Property / Symbols used: Q10771 / rank @@
+Normal rank
@@ Property / Symbols used: Q10771 / qualifier @@
+test:  ${\displaystyle{\displaystyle\int}}$ 
\int
@@ Property / Symbols used: Q10771 / qualifier @@
+xml-id: C1.S4.SS4.m3aatdec
@@ Property / Symbols used @@
+modified Bessel function of the second kind
@@ Property / Symbols used: modified Bessel function of the second kind / rank @@
+Normal rank
+test:  ${\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}$ 
\modBesselK{\NVar{\nu}}@{\NVar{z}}
+xml-id: C10.S25.E3.m2aadec
@@ Property / Symbols used @@
+Q10811
@@ Property / Symbols used: Q10811 / rank @@
+Normal rank
@@ Property / Symbols used: Q10811 / qualifier @@
+test:  ${\displaystyle{\displaystyle\Re}}$ 
\realpart@@
@@ Property / Symbols used: Q10811 / qualifier @@
+xml-id: C1.S9.E2.m1aabdec
@@ Property / Symbols used @@
+Q11427
@@ Property / Symbols used: Q11427 / rank @@
+Normal rank
@@ Property / Symbols used: Q11427 / qualifier @@
+test:  ${\displaystyle{\displaystyle\nu}}$ 
\nu
@@ Property / Symbols used: Q11427 / qualifier @@
+xml-id: C10.S1.XMD7.m1afdec

DLMF:10.22.E47 (Q3421): Difference between revisions

${\displaystyle{\displaystyle a>0,\Re b>0,-\tfrac{1}{2}<\Re\nu<\tfrac{5}{2}}}$

${\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}$

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

${\displaystyle{\displaystyle\int}}$

${\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}$

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

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

Latest revision as of 12:21, 2 January 2020

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DLMF:10.22.E47 (Q3421): Difference between revisions

a > 0 , ℜ ⁡ b > 0 , - 1 2 < ℜ ⁡ ν < 5 2 formulae-sequence 𝑎 0 formulae-sequence 𝑏 0 1 2 𝜈 5 2 {\displaystyle{\displaystyle a>0,\Re b>0,-\tfrac{1}{2}<\Re\nu<\tfrac{5}{2}}}

Y ν ⁡ ( z ) Bessel-Y-Weber 𝜈 𝑧 {\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

∫ {\displaystyle{\displaystyle\int}}

K ν ⁡ ( z ) modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}

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

ν 𝜈 {\displaystyle{\displaystyle\nu}}

Latest revision as of 12:21, 2 January 2020

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${\displaystyle{\displaystyle a>0,\Re b>0,-\tfrac{1}{2}<\Re\nu<\tfrac{5}{2}}}$

${\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}$

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

${\displaystyle{\displaystyle\int}}$

${\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}$

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

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