@@ 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.m2addec
@@ Property / Symbols used @@
+gamma function
@@ Property / Symbols used: gamma function / rank @@
+Normal rank
@@ Property / Symbols used: gamma function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$ 
\EulerGamma@{\NVar{z}}
@@ Property / Symbols used: gamma function / qualifier @@
+xml-id: C5.S2.E1.m2afdec
@@ Property / Symbols used @@
+Ferrers function of the first kind
@@ Property / Symbols used: Ferrers function of the first kind / rank @@
+Normal rank
@@ Property / Symbols used: Ferrers function of the first kind / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}$ 
\FerrersP[\NVar{\mu}]{\NVar{\nu}}@{\NVar{x}}
@@ Property / Symbols used: Ferrers function of the first kind / qualifier @@
+xml-id: C14.S3.E1.m2ajdec
@@ Property / Symbols used @@
+exponential function
@@ Property / Symbols used: exponential function / rank @@
+Normal rank
@@ Property / Symbols used: exponential function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\exp\NVar{z}}}$ 
\exp@@{\NVar{z}}
@@ Property / Symbols used: exponential function / qualifier @@
+xml-id: C4.S2.E19.m2aadec
@@ Property / Symbols used @@
+base of natural logarithm
@@ Property / Symbols used: base of natural logarithm / rank @@
+Normal rank
@@ Property / Symbols used: base of natural logarithm / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{e}}}$ 
\expe
@@ Property / Symbols used: base of natural logarithm / qualifier @@
+xml-id: C4.S2.E11.m2aedec
@@ Property / Symbols used @@
+imaginary unit
@@ Property / Symbols used: imaginary unit / rank @@
+Normal rank
@@ Property / Symbols used: imaginary unit / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{i}}}$ 
\iunit
@@ Property / Symbols used: imaginary unit / qualifier @@
+xml-id: C1.S9.E1.m2aydec
@@ Property / Symbols used @@
+Q10816
@@ Property / Symbols used: Q10816 / rank @@
+Normal rank
@@ Property / Symbols used: Q10816 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}$ 
\atan@@{\NVar{z}}
@@ Property / Symbols used: Q10816 / qualifier @@
+xml-id: C4.S23.SS2.p1.m7aadec
@@ 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.m1wdec
@@ Property / Symbols used @@
+Q11630
@@ Property / Symbols used: Q11630 / rank @@
+Normal rank
@@ Property / Symbols used: Q11630 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\tau}}$ 
\tau
@@ Property / Symbols used: Q11630 / qualifier @@
+xml-id: C14.S1.XMD3.m1abdec
@@ Property / Symbols used @@
+Q11591
@@ Property / Symbols used: Q11591 / rank @@
+Normal rank
@@ Property / Symbols used: Q11591 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mu}}$ 
\mu
@@ Property / Symbols used: Q11591 / qualifier @@
+xml-id: C14.S1.XMD7.m1pdec
@@ Property / Symbols used @@
+Q11636
@@ Property / Symbols used: Q11636 / rank @@
+Normal rank
@@ Property / Symbols used: Q11636 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\beta}}$ 
\beta
@@ Property / Symbols used: Q11636 / qualifier @@
+xml-id: C14.S20.XMD8.m1dec
@@ Property / Symbols used @@
+Q11637
@@ Property / Symbols used: Q11637 / rank @@
+Normal rank
@@ Property / Symbols used: Q11637 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\rho}}$ 
\rho
@@ Property / Symbols used: Q11637 / qualifier @@
+xml-id: C14.S20.XMD9.m1dec

DLMF:14.20.E22 (Q4943): Difference between revisions

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

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

𝖯 ν μ ⁡ ( x ) Ferrers-Legendre-P-first-kind 𝜇 𝜈 𝑥 {\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}

e {\displaystyle{\displaystyle\mathrm{e}}}

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}

x 𝑥 {\displaystyle{\displaystyle x}}

τ 𝜏 {\displaystyle{\displaystyle\tau}}

μ 𝜇 {\displaystyle{\displaystyle\mu}}

β 𝛽 {\displaystyle{\displaystyle\beta}}

ρ 𝜌 {\displaystyle{\displaystyle\rho}}

Latest revision as of 13:37, 2 January 2020

Statements

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Navigation menu

Search

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

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

${\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}$

${\displaystyle{\displaystyle\exp\NVar{z}}}$

${\displaystyle{\displaystyle\mathrm{e}}}$

${\displaystyle{\displaystyle\mathrm{i}}}$

${\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle\tau}}$

${\displaystyle{\displaystyle\mu}}$

${\displaystyle{\displaystyle\beta}}$

${\displaystyle{\displaystyle\rho}}$