@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\Re s>0}}$ 
\realpart@@{s}>0
@@ Property / constraint: ${\displaystyle{\displaystyle\Re s>0}}$ / rank @@
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\Re a=0}}$ 
\realpart@@{a}=0
@@ Property / constraint: ${\displaystyle{\displaystyle\Re a=0}}$ / rank @@
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\Im a\neq 0}}$ 
\imagpart@@{a}\neq 0
@@ Property / constraint: ${\displaystyle{\displaystyle\Im a\neq 0}}$ / rank @@
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle 0<\Re s<1}}$ 
0<\realpart@@{s}<1
@@ Property / constraint: ${\displaystyle{\displaystyle 0<\Re s<1}}$ / 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.m2aidec
@@ 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.m2aaidec
@@ 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.m1andec
@@ 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.m2afdec
@@ Property / Symbols used @@
+Q10901
@@ Property / Symbols used: Q10901 / rank @@
+Normal rank
@@ Property / Symbols used: Q10901 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Im}}$ 
\imagpart@@
@@ Property / Symbols used: Q10901 / qualifier @@
+xml-id: C1.S9.E2.m2adec
@@ 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.m3andec
@@ 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.m1ardec
@@ Property / Symbols used @@
+Q12148
@@ Property / Symbols used: Q12148 / rank @@
+Normal rank
@@ Property / Symbols used: Q12148 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q12148 / qualifier @@
+xml-id: C25.S1.XMD3.m1rdec
@@ 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.m1odec
@@ 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.m1acdec
@@ 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.m1xdec

DLMF:25.11.E35 (Q7709): Difference between revisions

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

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

ℑ ⁡ a ≠ 0 𝑎 0 {\displaystyle{\displaystyle\Im a\neq 0}}

0 < ℜ ⁡ s < 1 0 𝑠 1 {\displaystyle{\displaystyle 0<\Re s<1}}

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}}}

ℑ ⁡ absent {\displaystyle{\displaystyle\Im}}

∫ {\displaystyle{\displaystyle\int}}

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

n 𝑛 {\displaystyle{\displaystyle n}}

x 𝑥 {\displaystyle{\displaystyle x}}

a 𝑎 {\displaystyle{\displaystyle a}}

s 𝑠 {\displaystyle{\displaystyle s}}

Latest revision as of 13:45, 2 January 2020

Statements

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Navigation menu

Search

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

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

${\displaystyle{\displaystyle\Im a\neq 0}}$

${\displaystyle{\displaystyle 0<\Re s<1}}$

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

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

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

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

${\displaystyle{\displaystyle\Im}}$

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

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

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle a}}$

${\displaystyle{\displaystyle s}}$