@@ Property / constraint @@
+ ${\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi}}$ 
|\phase@@{z}|<\tfrac{1}{2}\pi
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\Re p>0}}$ 
\realpart@@{p}>0
@@ Property / constraint: ${\displaystyle{\displaystyle\Re p>0}}$ / 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.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.m2aadec
@@ 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.m1abdec
@@ 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.m2abdec
@@ Property / Symbols used @@
+generalized exponential integral
@@ Property / Symbols used: generalized exponential integral / rank @@
+Normal rank
@@ Property / Symbols used: generalized exponential integral / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}}$ 
\genexpintE{\NVar{p}}@{\NVar{z}}
@@ Property / Symbols used: generalized exponential integral / qualifier @@
+xml-id: C8.S19.E1.m2acdec
@@ 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.m3abdec
@@ 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.m1aadec
@@ 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.m1adec
@@ Property / Symbols used @@
+Q11323
@@ Property / Symbols used: Q11323 / rank @@
+Normal rank
@@ Property / Symbols used: Q11323 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11323 / qualifier @@
+xml-id: C8.S1.XMD2.m1cdec
@@ Property / Symbols used @@
+Q11377
@@ Property / Symbols used: Q11377 / rank @@
+Normal rank
@@ Property / Symbols used: Q11377 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle p}}$ 
p
@@ Property / Symbols used: Q11377 / qualifier @@
+xml-id: C8.S1.XMD4.m1cdec

DLMF:8.19.E4 (Q2690): Difference between revisions

| ph ⁡ z | < 1 2 ⁢ π phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi}}

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

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

π {\displaystyle{\displaystyle\pi}}

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

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

E p ⁡ ( z ) exponential-integral-En 𝑝 𝑧 {\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}}

∫ {\displaystyle{\displaystyle\int}}

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

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

z 𝑧 {\displaystyle{\displaystyle z}}

p 𝑝 {\displaystyle{\displaystyle p}}

Latest revision as of 14:09, 2 January 2020

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${\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi}}$

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

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

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

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

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

${\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}}$

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

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

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

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle p}}$