@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\Re((y+x)/x)>\frac{1}{2}}}$ 
\realpart@@{((y+x)/x)}>\frac{1}{2}
+Normal rank
@@ Property / Symbols used @@
+$$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$  Kummer confluent hypergeometric function
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle M\left(\NVar{a},\NVar{b},\NVar{z}\right)}}$ 
\KummerconfhyperM@{\NVar{a}}{\NVar{b}}{\NVar{z}}
+xml-id: C13.S2.E2.m2addec
@@ Property / Symbols used @@
+Q10759
@@ Property / Symbols used: Q10759 / rank @@
+Normal rank
@@ Property / Symbols used: Q10759 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$ 
\Pochhammersym{\NVar{a}}{\NVar{n}}
@@ Property / Symbols used: Q10759 / qualifier @@
+xml-id: C5.S2.SS3.m1addec
@@ 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 @@
+Q10755
@@ Property / Symbols used: Q10755 / rank @@
+Normal rank
@@ Property / Symbols used: Q10755 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle!}}$ 
!
@@ Property / Symbols used: Q10755 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r15.m5addec
@@ Property / Symbols used @@
+Q11559
@@ Property / Symbols used: Q11559 / rank @@
+Normal rank
@@ Property / Symbols used: Q11559 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q11559 / qualifier @@
+xml-id: C13.S1.XMD2.m1ddec
@@ Property / Symbols used @@
+Q11566
@@ Property / Symbols used: Q11566 / rank @@
+Normal rank
@@ Property / Symbols used: Q11566 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q11566 / qualifier @@
+xml-id: C13.S1.XMD4.m1ddec
@@ Property / Symbols used @@
+Q11580
@@ Property / Symbols used: Q11580 / rank @@
+Normal rank
@@ Property / Symbols used: Q11580 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle y}}$ 
y
@@ Property / Symbols used: Q11580 / qualifier @@
+xml-id: C13.S1.XMD5.m1ddec
@@ 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.m1aadec

DLMF:13.13.E5 (Q4482): Difference between revisions

ℜ ⁡ ( ( y + x ) / x ) > 1 2 𝑦 𝑥 𝑥 1 2 {\displaystyle{\displaystyle\Re((y+x)/x)>\frac{1}{2}}}

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

( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

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

! {\displaystyle{\displaystyle!}}

n 𝑛 {\displaystyle{\displaystyle n}}

x 𝑥 {\displaystyle{\displaystyle x}}

y 𝑦 {\displaystyle{\displaystyle y}}

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

Latest revision as of 16:03, 2 January 2020

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${\displaystyle{\displaystyle\Re((y+x)/x)>\frac{1}{2}}}$

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

${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$

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

${\displaystyle{\displaystyle!}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle y}}$

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