@@ Property / Symbols used @@
+Q10931
@@ Property / Symbols used: Q10931 / rank @@
+Normal rank
@@ Property / Symbols used: Q10931 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\sim}}$ 
\asympexp
@@ Property / Symbols used: Q10931 / qualifier @@
+xml-id: C2.S1.SS3.p1.m11aedec
@@ Property / Symbols used @@
+modified Bessel function of the first kind
@@ Property / Symbols used: modified Bessel function of the first kind / rank @@
+Normal rank
@@ Property / Symbols used: modified Bessel function of the first kind / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}$ 
\modBesselI{\NVar{\nu}}@{\NVar{z}}
@@ Property / Symbols used: modified Bessel function of the first kind / qualifier @@
+xml-id: C10.S25.E2.m2acdec
@@ Property / Symbols used @@
+modified Bessel function of the second kind
@@ Property / Symbols used: modified Bessel function of the second kind / rank @@
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}$ 
\modBesselK{\NVar{\nu}}@{\NVar{z}}
+xml-id: C10.S25.E3.m2abdec
@@ Property / Symbols used @@
+Q11426
@@ Property / Symbols used: Q11426 / rank @@
+Normal rank
@@ Property / Symbols used: Q11426 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11426 / qualifier @@
+xml-id: C10.S1.XMD6.m1edec
@@ Property / Symbols used @@
+Q11427
@@ Property / Symbols used: Q11427 / rank @@
+Normal rank
@@ Property / Symbols used: Q11427 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\nu}}$ 
\nu
@@ Property / Symbols used: Q11427 / qualifier @@
+xml-id: C10.S1.XMD7.m1edec

DLMF:10.40.E6 (Q3584): Difference between revisions

∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}

I ν ⁡ ( z ) modified-Bessel-first-kind 𝜈 𝑧 {\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}

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

z 𝑧 {\displaystyle{\displaystyle z}}

ν 𝜈 {\displaystyle{\displaystyle\nu}}

Latest revision as of 13:53, 2 January 2020

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${\displaystyle{\displaystyle\sim}}$

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

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

${\displaystyle{\displaystyle z}}$

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