@@ Property / Symbols used @@
+order not exceeding
@@ Property / Symbols used: order not exceeding / rank @@
+Normal rank
@@ Property / Symbols used: order not exceeding / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$ 
\bigO@{\NVar{x}}
@@ Property / Symbols used: order not exceeding / qualifier @@
+xml-id: C2.S1.E3.m2acdec
@@ Property / Symbols used @@
+Euler’s constant
@@ Property / Symbols used: Euler’s constant / rank @@
+Normal rank
@@ Property / Symbols used: Euler’s constant / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\gamma}}$ 
\EulerConstant
@@ Property / Symbols used: Euler’s constant / qualifier @@
+xml-id: C5.S2.E3.m2adec
@@ 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.m2aadec
@@ Property / Symbols used @@
+modified Bessel function fo the second kind of imaginary order
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\widetilde{K}_{\NVar{\nu}}\left(\NVar{x}\right)}}$ 
\modBesselKimag{\NVar{\nu}}@{\NVar{x}}
+xml-id: C10.S45.E2.m3aedec
@@ Property / Symbols used @@
+principal branch of logarithm function
@@ Property / Symbols used: principal branch of logarithm function / rank @@
+Normal rank
@@ Property / Symbols used: principal branch of logarithm function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\ln\NVar{z}}}$ 
\ln@@{\NVar{z}}
@@ Property / Symbols used: principal branch of logarithm function / qualifier @@
+xml-id: C4.S2.E2.m2abdec
@@ Property / Symbols used @@
+Q11435
@@ Property / Symbols used: Q11435 / rank @@
+Normal rank
@@ Property / Symbols used: Q11435 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q11435 / qualifier @@
+xml-id: C10.S1.XMD4.m1gdec

DLMF:10.45.E8 (Q3665): Difference between revisions

O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

γ {\displaystyle{\displaystyle\gamma}}

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

K ~ ν ⁡ ( x ) modified-Bessel-second-kind-imaginary-order 𝜈 𝑥 {\displaystyle{\displaystyle\widetilde{K}_{\NVar{\nu}}\left(\NVar{x}\right)}}

ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}

x 𝑥 {\displaystyle{\displaystyle x}}

Latest revision as of 14:07, 2 January 2020

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${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$

${\displaystyle{\displaystyle\gamma}}$

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

${\displaystyle{\displaystyle\widetilde{K}_{\NVar{\nu}}\left(\NVar{x}\right)}}$

${\displaystyle{\displaystyle\ln\NVar{z}}}$

${\displaystyle{\displaystyle x}}$