@@ 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 @@
+Defining formula:  ${\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}$ 
\KummerconfhyperU@{\NVar{a}}{\NVar{b}}{\NVar{z}}
@@ Property / Symbols used: Kummer confluent hypergeometric function / qualifier @@
+xml-id: C13.S2.E6.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.m1afdec
@@ Property / Symbols used @@
+Q10754
@@ Property / Symbols used: Q10754 / rank @@
+Normal rank
@@ Property / Symbols used: Q10754 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$ 
\binom{\NVar{m}}{\NVar{n}}
@@ Property / Symbols used: Q10754 / qualifier @@
+xml-id: C1.S2.SS1.m1abdec
@@ Property / Symbols used @@
+Q11561
@@ Property / Symbols used: Q11561 / rank @@
+Normal rank
@@ Property / Symbols used: Q11561 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle m}}$ 
m
@@ Property / Symbols used: Q11561 / qualifier @@
+xml-id: C13.S1.XMD1.m1adec
@@ 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 @@
+Q11558
@@ Property / Symbols used: Q11558 / rank @@
+Normal rank
@@ Property / Symbols used: Q11558 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle s}}$ 
s
@@ Property / Symbols used: Q11558 / qualifier @@
+xml-id: C13.S1.XMD3.m1ddec
@@ Property / Symbols used @@
+Q11557
@@ Property / Symbols used: Q11557 / rank @@
+Normal rank
@@ Property / Symbols used: Q11557 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11557 / qualifier @@
+xml-id: C13.S1.XMD6.m1idec

DLMF:13.2.E10 (Q4300): Difference between revisions

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

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

( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}

m 𝑚 {\displaystyle{\displaystyle m}}

n 𝑛 {\displaystyle{\displaystyle n}}

s 𝑠 {\displaystyle{\displaystyle s}}

z 𝑧 {\displaystyle{\displaystyle z}}

Latest revision as of 15:36, 2 January 2020

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

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

${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$

${\displaystyle{\displaystyle m}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle s}}$

${\displaystyle{\displaystyle z}}$