@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\left|\operatorname{ph}z\right|\leq\frac{1}{2}\pi}}$ 
\abs{\phase@@{z}}\leq\frac{1}{2}\pi
+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.m2afdec
@@ Property / Symbols used @@
+Riemann zeta function
@@ Property / Symbols used: Riemann zeta function / rank @@
+Normal rank
@@ Property / Symbols used: Riemann zeta function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}$ 
\Riemannzeta@{\NVar{s}}
@@ Property / Symbols used: Riemann zeta function / qualifier @@
+xml-id: C25.S2.E1.m2adec
@@ Property / Symbols used @@
+the ratio of the circumference of a circle to its diameter
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\pi}}$ 
\cpi
+xml-id: C3.S12.E1.m2afdec
@@ Property / Symbols used @@
+Q10817
@@ Property / Symbols used: Q10817 / rank @@
+Normal rank
@@ Property / Symbols used: Q10817 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{ph}}}$ 
\phase
@@ Property / Symbols used: Q10817 / qualifier @@
+xml-id: C1.S9.E7.m1adec
@@ Property / Symbols used @@
+secant function
@@ Property / Symbols used: secant function / rank @@
+Normal rank
@@ Property / Symbols used: secant function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\sec\NVar{z}}}$ 
\sec@@{\NVar{z}}
@@ Property / Symbols used: secant function / qualifier @@
+xml-id: C4.S14.E6.m2adec
@@ Property / Symbols used @@
+Q11273
@@ Property / Symbols used: Q11273 / rank @@
+Normal rank
@@ Property / Symbols used: Q11273 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11273 / qualifier @@
+xml-id: C5.S1.XMD7.m1fdec

DLMF:5.11.E11 (Q2133): Difference between revisions

| ph ⁡ z | ≤ 1 2 ⁢ π phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle\left|\operatorname{ph}z\right|\leq\frac{1}{2}\pi}}

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

ζ ⁡ ( s ) Riemann-zeta 𝑠 {\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}

π {\displaystyle{\displaystyle\pi}}

ph phase {\displaystyle{\displaystyle\operatorname{ph}}}

sec ⁡ z 𝑧 {\displaystyle{\displaystyle\sec\NVar{z}}}

z 𝑧 {\displaystyle{\displaystyle z}}

Latest revision as of 19:41, 1 January 2020

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${\displaystyle{\displaystyle\left|\operatorname{ph}z\right|\leq\frac{1}{2}\pi}}$

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

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

${\displaystyle{\displaystyle\pi}}$

${\displaystyle{\displaystyle\operatorname{ph}}}$

${\displaystyle{\displaystyle\sec\NVar{z}}}$

${\displaystyle{\displaystyle z}}$