DLMF:25.14.E3 (Q7742): Difference between revisions

@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\Re s>1}}$ 
\realpart@@{s}>1
@@ Property / constraint: ${\displaystyle{\displaystyle\Re s>1}}$ / rank @@
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\Re s>1}}$ 
\Re s>1
@@ Property / constraint: ${\displaystyle{\displaystyle\Re s>1}}$ / rank @@
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle|z|\leq 1}}$ 
|z|\leq 1
@@ Property / constraint: ${\displaystyle{\displaystyle|z|\leq 1}}$ / rank @@
+Normal rank
@@ Property / Symbols used @@
+Lerch’s transcendent
@@ Property / Symbols used: Lerch’s transcendent / rank @@
+Normal rank
@@ Property / Symbols used: Lerch’s transcendent / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Phi\left(\NVar{z},\NVar{s},\NVar{a}\right)}}$ 
\LerchPhi@{\NVar{z}}{\NVar{s}}{\NVar{a}}
@@ Property / Symbols used: Lerch’s transcendent / qualifier @@
+xml-id: C25.S14.E1.m2abdec
@@ Property / Symbols used @@
+polylogarithm
@@ Property / Symbols used: polylogarithm / rank @@
+Normal rank
@@ Property / Symbols used: polylogarithm / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{Li}_{\NVar{s}}\left(\NVar{z}\right)}}$ 
\polylog{\NVar{s}}@{\NVar{z}}
@@ Property / Symbols used: polylogarithm / qualifier @@
+xml-id: C25.S12.E10.m2adec
@@ Property / Symbols used @@
+Q10811
@@ Property / Symbols used: Q10811 / rank @@
+Normal rank
@@ Property / Symbols used: Q10811 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Re}}$ 
\realpart@@
@@ Property / Symbols used: Q10811 / qualifier @@
+xml-id: C1.S9.E2.m1abdec
@@ Property / Symbols used @@
+Q12149
@@ Property / Symbols used: Q12149 / rank @@
+Normal rank
@@ Property / Symbols used: Q12149 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle s}}$ 
s
@@ Property / Symbols used: Q12149 / qualifier @@
+xml-id: C25.S1.XMD7.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.m1adec

DLMF:25.14.E3 (Q7742): Difference between revisions

${\displaystyle{\displaystyle\Re s>1}}$

${\displaystyle{\displaystyle\Re s>1}}$

${\displaystyle{\displaystyle|z|\leq 1}}$

${\displaystyle{\displaystyle\Phi\left(\NVar{z},\NVar{s},\NVar{a}\right)}}$

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

${\displaystyle{\displaystyle\Re}}$

${\displaystyle{\displaystyle s}}$

${\displaystyle{\displaystyle z}}$

Latest revision as of 01:02, 2 January 2020

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DLMF:25.14.E3 (Q7742): Difference between revisions

ℜ ⁡ s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}}

ℜ ⁡ s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}}

| z | ≤ 1 𝑧 1 {\displaystyle{\displaystyle|z|\leq 1}}

Φ ⁡ ( z , s , a ) Lerch-Phi 𝑧 𝑠 𝑎 {\displaystyle{\displaystyle\Phi\left(\NVar{z},\NVar{s},\NVar{a}\right)}}

Li s ⁡ ( z ) polylogarithm 𝑠 𝑧 {\displaystyle{\displaystyle\mathrm{Li}_{\NVar{s}}\left(\NVar{z}\right)}}

ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}

s 𝑠 {\displaystyle{\displaystyle s}}

z 𝑧 {\displaystyle{\displaystyle z}}

Latest revision as of 01:02, 2 January 2020

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${\displaystyle{\displaystyle\Re s>1}}$

${\displaystyle{\displaystyle\Re s>1}}$

${\displaystyle{\displaystyle|z|\leq 1}}$

${\displaystyle{\displaystyle\Phi\left(\NVar{z},\NVar{s},\NVar{a}\right)}}$

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

${\displaystyle{\displaystyle\Re}}$

${\displaystyle{\displaystyle s}}$

${\displaystyle{\displaystyle z}}$