@@ 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.m2adec
@@ Property / Symbols used @@
+the ratio of the circumference of a circle to its diameter
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\pi}}$ 
\cpi
+xml-id: C3.S12.E1.m2abdec
@@ 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.m2addec
@@ Property / Symbols used @@
+repeated integrals of the complementary error function
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\mathop{\mathrm{i}^{\NVar{n}}\mathrm{erfc}}\left(% \NVar{z}\right)}}$ 
\repinterfc{\NVar{n}}@{\NVar{z}}
+xml-id: C7.S18.E2.m2ajdec
@@ Property / Symbols used @@
+Q11312
@@ Property / Symbols used: Q11312 / rank @@
+Normal rank
@@ Property / Symbols used: Q11312 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11312 / qualifier @@
+xml-id: C7.S1.XMD2.m1idec
@@ Property / Symbols used @@
+Q11314
@@ Property / Symbols used: Q11314 / rank @@
+Normal rank
@@ Property / Symbols used: Q11314 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q11314 / qualifier @@
+xml-id: C7.S1.XMD3.m1idec

DLMF:7.18.E10 (Q2460): 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)}}

π {\displaystyle{\displaystyle\pi}}

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

i n ⁢ erfc ⁡ ( z ) repeated-integral-complementary-error-function 𝑛 𝑧 {\displaystyle{\displaystyle\mathop{\mathrm{i}^{\NVar{n}}\mathrm{erfc}}\left(% \NVar{z}\right)}}

z 𝑧 {\displaystyle{\displaystyle z}}

n 𝑛 {\displaystyle{\displaystyle n}}

Latest revision as of 13:33, 2 January 2020

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

${\displaystyle{\displaystyle\pi}}$

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

${\displaystyle{\displaystyle\mathop{\mathrm{i}^{\NVar{n}}\mathrm{erfc}}\left(% \NVar{z}\right)}}$

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle n}}$