DLMF:13.2.E20 (Q4310): Difference between revisions

@@ Property / constraint @@
+ ${\displaystyle{\displaystyle 0<\Re b<1}}$ 
0<\realpart@@{b}<1
@@ Property / constraint: ${\displaystyle{\displaystyle 0<\Re b<1}}$ / rank @@
+Normal rank
@@ Property / Symbols used @@
+order not exceeding
@@ Property / Symbols used: order not exceeding / rank @@
+Normal rank
@@ Property / Symbols used: order not exceeding / qualifier @@
+test:  ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$ 
\bigO@{\NVar{x}}
@@ Property / Symbols used: order not exceeding / qualifier @@
+xml-id: C2.S1.E3.m2agdec
@@ Property / Symbols used @@
+gamma function
@@ Property / Symbols used: gamma function / rank @@
+Normal rank
@@ Property / Symbols used: gamma function / qualifier @@
+test:  ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$ 
\EulerGamma@{\NVar{z}}
@@ Property / Symbols used: gamma function / qualifier @@
+xml-id: C5.S2.E1.m2aidec
@@ Property / Symbols used @@
+Kummer confluent hypergeometric function
@@ Property / Symbols used: Kummer confluent hypergeometric function / rank @@
+Normal rank
@@ Property / Symbols used: Kummer confluent hypergeometric function / qualifier @@
+test:  ${\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}$ 
\KummerconfhyperU@{\NVar{a}}{\NVar{b}}{\NVar{z}}
@@ Property / Symbols used: Kummer confluent hypergeometric function / qualifier @@
+xml-id: C13.S2.E6.m2amdec
@@ Property / Symbols used @@
+Q10811
@@ Property / Symbols used: Q10811 / rank @@
+Normal rank
@@ Property / Symbols used: Q10811 / qualifier @@
+test:  ${\displaystyle{\displaystyle\Re}}$ 
\realpart@@
@@ Property / Symbols used: Q10811 / qualifier @@
+xml-id: C1.S9.E2.m1abdec
@@ Property / Symbols used @@
+Q11557
@@ Property / Symbols used: Q11557 / rank @@
+Normal rank
@@ Property / Symbols used: Q11557 / qualifier @@
+test:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11557 / qualifier @@
+xml-id: C13.S1.XMD6.m1sdec

DLMF:13.2.E20 (Q4310): Difference between revisions

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

${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$

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

${\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}$

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

${\displaystyle{\displaystyle z}}$

Latest revision as of 14:37, 2 January 2020

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DLMF:13.2.E20 (Q4310): Difference between revisions

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

O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

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

U ⁡ ( a , b , z ) Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}

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

z 𝑧 {\displaystyle{\displaystyle z}}

Latest revision as of 14:37, 2 January 2020

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

${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$

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

${\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}$

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

${\displaystyle{\displaystyle z}}$