@@ Property / constraint @@
+ ${\displaystyle{\displaystyle z\in\mathbb{C}\setminus[1,\infty)}}$ 
z\in\Complexes\setminus[1,\infty)
+Normal rank
@@ Property / Symbols used @@
+Q11243
@@ Property / Symbols used: Q11243 / rank @@
+Normal rank
@@ Property / Symbols used: Q11243 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle[\NVar{a},\NVar{b})}}$ 
[\NVar{a},\NVar{b})
@@ Property / Symbols used: Q11243 / qualifier @@
+xml-id: introduction.Sx4.p2.t1.r1.m4adec
@@ Property / Symbols used @@
+Q10923
@@ Property / Symbols used: Q10923 / rank @@
+Normal rank
@@ Property / Symbols used: Q10923 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathbb{C}}}$ 
\Complexes
@@ Property / Symbols used: Q10923 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r1.m2aadec
@@ Property / Symbols used @@
+dilogarithm
@@ Property / Symbols used: dilogarithm / rank @@
+Normal rank
@@ Property / Symbols used: dilogarithm / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{Li}_{2}\left(\NVar{z}\right)}}$ 
\dilog@{\NVar{z}}
@@ Property / Symbols used: dilogarithm / qualifier @@
+xml-id: C25.S12.E1.m2abdec
@@ Property / Symbols used @@
+Q10784
@@ Property / Symbols used: Q10784 / rank @@
+Normal rank
@@ Property / Symbols used: Q10784 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\in}}$ 
\in
@@ Property / Symbols used: Q10784 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r10.m2aadec
@@ 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.m2aadec
@@ Property / Symbols used @@
+Q10785
@@ Property / Symbols used: Q10785 / rank @@
+Normal rank
@@ Property / Symbols used: Q10785 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\setminus}}$ 
\setminus
@@ Property / Symbols used: Q10785 / qualifier @@
+xml-id: introduction.Sx4.p2.t1.r19.m2aadec
@@ Property / Symbols used @@
+Q12152
@@ Property / Symbols used: Q12152 / rank @@
+Normal rank
@@ Property / Symbols used: Q12152 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q12152 / qualifier @@
+xml-id: C25.S1.XMD5.m1bdec
@@ Property / Symbols used @@
+Q12156
@@ Property / Symbols used: Q12156 / rank @@
+Normal rank
@@ Property / Symbols used: Q12156 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q12156 / qualifier @@
+xml-id: C25.S1.XMD8.m1bdec

DLMF:25.12.E3 (Q7722): Difference between revisions

z ∈ ℂ ∖ [ 1 , ∞ ) 𝑧 1 {\displaystyle{\displaystyle z\in\mathbb{C}\setminus[1,\infty)}}

[ a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle[\NVar{a},\NVar{b})}}

ℂ {\displaystyle{\displaystyle\mathbb{C}}}

Li 2 ⁡ ( z ) dilogarithm 𝑧 {\displaystyle{\displaystyle\mathrm{Li}_{2}\left(\NVar{z}\right)}}

∈ {\displaystyle{\displaystyle\in}}

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

∖ {\displaystyle{\displaystyle\setminus}}

x 𝑥 {\displaystyle{\displaystyle x}}

z 𝑧 {\displaystyle{\displaystyle z}}

Latest revision as of 13:47, 2 January 2020

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${\displaystyle{\displaystyle z\in\mathbb{C}\setminus[1,\infty)}}$

${\displaystyle{\displaystyle[\NVar{a},\NVar{b})}}$

${\displaystyle{\displaystyle\mathbb{C}}}$

${\displaystyle{\displaystyle\mathrm{Li}_{2}\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle\in}}$

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

${\displaystyle{\displaystyle\setminus}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle z}}$