@@ Property / Symbols used @@
+beta function
@@ Property / Symbols used: beta function / rank @@
+Normal rank
@@ Property / Symbols used: beta function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{B}\left(\NVar{a},\NVar{b}\right)}}$ 
\EulerBeta@{\NVar{a}}{\NVar{b}}
@@ Property / Symbols used: beta function / qualifier @@
+xml-id: C5.S12.E1.m2addec
@@ 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.m2amdec
@@ 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.m1qdec
@@ 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.m1pdec
@@ 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.m1qdec
@@ Property / Symbols used @@
+Q11367
@@ Property / Symbols used: Q11367 / rank @@
+Normal rank
@@ Property / Symbols used: Q11367 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x^{\prime}}}$ 
x^{\prime}
@@ Property / Symbols used: Q11367 / qualifier @@
+xml-id: C8.S17.XMD9.m1fdec

DLMF:8.17.E20 (Q2661): Difference between revisions

B ⁡ ( a , b ) Euler-Beta 𝑎 𝑏 {\displaystyle{\displaystyle\mathrm{B}\left(\NVar{a},\NVar{b}\right)}}

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

a 𝑎 {\displaystyle{\displaystyle a}}

b 𝑏 {\displaystyle{\displaystyle b}}

x 𝑥 {\displaystyle{\displaystyle x}}

x ′ superscript 𝑥 ′ {\displaystyle{\displaystyle x^{\prime}}}

Latest revision as of 14:04, 2 January 2020

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${\displaystyle{\displaystyle\mathrm{B}\left(\NVar{a},\NVar{b}\right)}}$

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

${\displaystyle{\displaystyle a}}$

${\displaystyle{\displaystyle b}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle x^{\prime}}}$