@@ 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 @@
+ ${\displaystyle{\displaystyle a\neq 0,-1,-2,\dots}}$ 
a\neq 0,-1,-2,\dots
+Normal rank
@@ Property / Symbols used @@
+Hurwitz zeta function
@@ Property / Symbols used: Hurwitz zeta function / rank @@
+Normal rank
@@ Property / Symbols used: Hurwitz zeta function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}$ 
\Hurwitzzeta@{\NVar{s}}{\NVar{a}}
@@ Property / Symbols used: Hurwitz zeta function / qualifier @@
+xml-id: C25.S11.E1.m2adec
@@ 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.m2aadec
@@ 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.m1aadec
@@ Property / Symbols used @@
+Q12161
@@ Property / Symbols used: Q12161 / rank @@
+Normal rank
@@ Property / Symbols used: Q12161 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle a}}$ 
a
@@ Property / Symbols used: Q12161 / qualifier @@
+xml-id: C25.S1.XMD6.m1adec
@@ 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.m1adec

DLMF:25.14.E2 (Q7741): Difference between revisions

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

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

a ≠ 0 , - 1 , - 2 , … 𝑎 0 1 2 … {\displaystyle{\displaystyle a\neq 0,-1,-2,\dots}}

ζ ⁡ ( s , a ) Hurwitz-zeta 𝑠 𝑎 {\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}

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

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

a 𝑎 {\displaystyle{\displaystyle a}}

s 𝑠 {\displaystyle{\displaystyle s}}

Latest revision as of 01:02, 2 January 2020

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

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

${\displaystyle{\displaystyle a\neq 0,-1,-2,\dots}}$

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

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

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

${\displaystyle{\displaystyle a}}$

${\displaystyle{\displaystyle s}}$