@@ Property / constraint @@
+ ${\displaystyle{\displaystyle s\neq 1}}$ 
s\neq 1
@@ Property / constraint: ${\displaystyle{\displaystyle s\neq 1}}$ / rank @@
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\Re a>0}}$ 
\Re a>0
@@ Property / constraint: ${\displaystyle{\displaystyle\Re a>0}}$ / rank @@
+Normal rank
@@ 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.m2aedec
@@ 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.m2aabdec
@@ Property / Symbols used @@
+Q10770
@@ Property / Symbols used: Q10770 / rank @@
+Normal rank
@@ Property / Symbols used: Q10770 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$ 
\diff{\NVar{x}}
@@ Property / Symbols used: Q10770 / qualifier @@
+xml-id: C1.S4.SS4.m1agdec
@@ 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.m2aadec
@@ Property / Symbols used @@
+Q10771
@@ Property / Symbols used: Q10771 / rank @@
+Normal rank
@@ Property / Symbols used: Q10771 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\int}}$ 
\int
@@ Property / Symbols used: Q10771 / qualifier @@
+xml-id: C1.S4.SS4.m3agdec
@@ 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.m1akdec
@@ 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.m1idec
@@ 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.m1vdec
@@ 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.m1sdec

DLMF:25.11.E27 (Q7701): Difference between revisions

s ≠ 1 𝑠 1 {\displaystyle{\displaystyle s\neq 1}}

ℜ ⁡ a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}

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

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

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

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

∫ {\displaystyle{\displaystyle\int}}

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

x 𝑥 {\displaystyle{\displaystyle x}}

a 𝑎 {\displaystyle{\displaystyle a}}

s 𝑠 {\displaystyle{\displaystyle s}}

Latest revision as of 13:42, 2 January 2020

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${\displaystyle{\displaystyle s\neq 1}}$

${\displaystyle{\displaystyle\Re a>0}}$

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

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

${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$

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

${\displaystyle{\displaystyle\int}}$

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

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle a}}$

${\displaystyle{\displaystyle s}}$