DLMF:10.30.E1 (Q3513): Difference between revisions

@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\nu\neq-1,-2,-3,\dots}}$ 
\nu\neq-1,-2,-3,\dots
+Normal rank
@@ Property / Symbols used @@
+gamma function
@@ Property / Symbols used: gamma function / rank @@
+Normal rank
@@ Property / Symbols used: gamma function / qualifier @@
+test:  ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$ 
\EulerGamma@{\NVar{z}}
@@ Property / Symbols used: gamma function / qualifier @@
+xml-id: C5.S2.E1.m2adec
@@ Property / Symbols used @@
+asymptotic equality
@@ Property / Symbols used: asymptotic equality / rank @@
+Normal rank
@@ Property / Symbols used: asymptotic equality / qualifier @@
+test:  ${\displaystyle{\displaystyle\sim}}$ 
\asympeq
@@ Property / Symbols used: asymptotic equality / qualifier @@
+xml-id: C2.S1.E1.m2adec
@@ 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 @@
+test:  ${\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}$ 
\modBesselI{\NVar{\nu}}@{\NVar{z}}
@@ Property / Symbols used: modified Bessel function of the first kind / qualifier @@
+xml-id: C10.S25.E2.m2adec
@@ Property / Symbols used @@
+Q11426
@@ Property / Symbols used: Q11426 / rank @@
+Normal rank
@@ Property / Symbols used: Q11426 / qualifier @@
+test:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11426 / qualifier @@
+xml-id: C10.S1.XMD6.m1dec
@@ 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.m1dec

DLMF:10.30.E1 (Q3513): Difference between revisions

${\displaystyle{\displaystyle\nu\neq-1,-2,-3,\dots}}$

${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$

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

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

${\displaystyle{\displaystyle z}}$

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

Latest revision as of 12:38, 2 January 2020

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DLMF:10.30.E1 (Q3513): Difference between revisions

ν ≠ - 1 , - 2 , - 3 , … 𝜈 1 2 3 … {\displaystyle{\displaystyle\nu\neq-1,-2,-3,\dots}}

Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}

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

z 𝑧 {\displaystyle{\displaystyle z}}

ν 𝜈 {\displaystyle{\displaystyle\nu}}

Latest revision as of 12:38, 2 January 2020

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${\displaystyle{\displaystyle\nu\neq-1,-2,-3,\dots}}$

${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$

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

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

${\displaystyle{\displaystyle z}}$

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