@@ Property / Symbols used @@
+incomplete beta function
@@ Property / Symbols used: incomplete beta function / rank @@
+Normal rank
@@ Property / Symbols used: incomplete beta function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle I_{\NVar{x}}\left(\NVar{a},\NVar{b}\right)}}$ 
\normincBetaI{\NVar{x}}@{\NVar{a}}{\NVar{b}}
@@ Property / Symbols used: incomplete beta function / qualifier @@
+xml-id: C8.S17.E2.m2aadec
@@ Property / Symbols used @@
+Q10931
@@ Property / Symbols used: Q10931 / rank @@
+Normal rank
@@ Property / Symbols used: Q10931 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\sim}}$ 
\asympexp
@@ Property / Symbols used: Q10931 / qualifier @@
+xml-id: C2.S1.SS3.p1.m11adec
@@ Property / Symbols used @@
+Q11330
@@ Property / Symbols used: Q11330 / rank @@
+Normal rank
@@ Property / Symbols used: Q11330 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k}}$ 
k
@@ Property / Symbols used: Q11330 / qualifier @@
+xml-id: C8.S1.XMD5.m1adec
@@ Property / Symbols used @@
+Q11329
@@ Property / Symbols used: Q11329 / rank @@
+Normal rank
@@ Property / Symbols used: Q11329 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q11329 / qualifier @@
+xml-id: C8.S1.XMD6.m1adec
@@ Property / Symbols used @@
+Q11360
@@ Property / Symbols used: Q11360 / rank @@
+Normal rank
@@ Property / Symbols used: Q11360 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle a}}$ 
a
@@ Property / Symbols used: Q11360 / qualifier @@
+xml-id: C8.S17.XMD1.m1adec
@@ Property / Symbols used @@
+Q11361
@@ Property / Symbols used: Q11361 / rank @@
+Normal rank
@@ Property / Symbols used: Q11361 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle b}}$ 
b
@@ Property / Symbols used: Q11361 / qualifier @@
+xml-id: C8.S17.XMD2.m1adec
@@ Property / Symbols used @@
+Q11362
@@ Property / Symbols used: Q11362 / rank @@
+Normal rank
@@ Property / Symbols used: Q11362 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q11362 / qualifier @@
+xml-id: C8.S17.XMD3.m1bdec
@@ Property / Symbols used @@
+Q11371
@@ Property / Symbols used: Q11371 / rank @@
+Normal rank
@@ Property / Symbols used: Q11371 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle F_{k}}}$ 
F_{k}
@@ Property / Symbols used: Q11371 / qualifier @@
+xml-id: C8.S18.XMD2.m1dec
@@ Property / Symbols used @@
+Q11372
@@ Property / Symbols used: Q11372 / rank @@
+Normal rank
@@ Property / Symbols used: Q11372 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle d_{k}}}$ 
d_{k}
@@ Property / Symbols used: Q11372 / qualifier @@
+xml-id: C8.S18.XMD3.m1dec

DLMF:8.18.E3 (Q2669): Difference between revisions

I x ⁡ ( a , b ) IncI 𝑥 𝑎 𝑏 {\displaystyle{\displaystyle I_{\NVar{x}}\left(\NVar{a},\NVar{b}\right)}}

∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}

k 𝑘 {\displaystyle{\displaystyle k}}

n 𝑛 {\displaystyle{\displaystyle n}}

a 𝑎 {\displaystyle{\displaystyle a}}

b 𝑏 {\displaystyle{\displaystyle b}}

x 𝑥 {\displaystyle{\displaystyle x}}

F k subscript 𝐹 𝑘 {\displaystyle{\displaystyle F_{k}}}

d k subscript 𝑑 𝑘 {\displaystyle{\displaystyle d_{k}}}

Latest revision as of 14:06, 2 January 2020

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${\displaystyle{\displaystyle I_{\NVar{x}}\left(\NVar{a},\NVar{b}\right)}}$

${\displaystyle{\displaystyle\sim}}$

${\displaystyle{\displaystyle k}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle a}}$

${\displaystyle{\displaystyle b}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle F_{k}}}$

${\displaystyle{\displaystyle d_{k}}}$