@@ Property / constraint @@
+ ${\displaystyle{\displaystyle a+\frac{1}{2},b\neq 0,-1,-2,\dots}}$ 
a+\frac{1}{2},b\neq 0,-1,-2,\dots
+Normal rank
@@ Property / Symbols used @@
+gamma function
@@ Property / Symbols used: gamma function / rank @@
+Normal rank
@@ Property / Symbols used: gamma function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$ 
\EulerGamma@{\NVar{z}}
@@ Property / Symbols used: gamma function / qualifier @@
+xml-id: C5.S2.E1.m2adec
@@ 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.m2adec
@@ 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.m1adec
@@ 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.m2adec
@@ 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.m5adec
@@ 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.m1dec
@@ 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.m1dec
@@ Property / Symbols used @@
+modified Bessel function of the first kind
@@ Property / Symbols used: modified Bessel function of the first kind / rank @@
+Normal rank
@@ Property / Symbols used: modified Bessel function of the first kind / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}$ 
\modBesselI{\NVar{\nu}}@{\NVar{z}}
@@ Property / Symbols used: modified Bessel function of the first kind / qualifier @@
+xml-id: C10.S25.E2.m2adec

DLMF:13.11.E1 (Q4476): Difference between revisions

a + 1 2 , b ≠ 0 , - 1 , - 2 , … formulae-sequence 𝑎 1 2 𝑏 0 1 2 … {\displaystyle{\displaystyle a+\frac{1}{2},b\neq 0,-1,-2,\dots}}

Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

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!}}

s 𝑠 {\displaystyle{\displaystyle s}}

z 𝑧 {\displaystyle{\displaystyle z}}

I ν ⁡ ( z ) modified-Bessel-first-kind 𝜈 𝑧 {\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}

Latest revision as of 16:03, 2 January 2020

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${\displaystyle{\displaystyle a+\frac{1}{2},b\neq 0,-1,-2,\dots}}$

${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$

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

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

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

${\displaystyle{\displaystyle!}}$

${\displaystyle{\displaystyle s}}$

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}$