@@ 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.m2adec
@@ Property / Symbols used @@
+Q11660
@@ Property / Symbols used: Q11660 / rank @@
+Normal rank
@@ Property / Symbols used: Q11660 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle P^{(\NVar{\alpha},\NVar{\beta})}_{\NVar{n}}\left(% \NVar{x}\right)}}$ 
\JacobipolyP{\NVar{\alpha}}{\NVar{\beta}}{\NVar{n}}@{\NVar{x}}
@@ Property / Symbols used: Q11660 / qualifier @@
+xml-id: C18.S3.T1.t1.r2.m2addec
@@ Property / Symbols used @@
+Q11384
@@ Property / Symbols used: Q11384 / rank @@
+Normal rank
@@ Property / Symbols used: Q11384 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle{{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}% \right)}}$ 
\genhyperF{1}{1}@{\NVar{a}}{\NVar{b}}{\NVar{z}}
@@ Property / Symbols used: Q11384 / qualifier @@
+xml-id: C16.S2.m7adec
@@ Property / Symbols used @@
+Q10770
@@ Property / Symbols used: Q10770 / rank @@
+Normal rank
@@ Property / Symbols used: Q10770 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$ 
\diff{\NVar{x}}
@@ Property / Symbols used: Q10770 / qualifier @@
+xml-id: C1.S4.SS4.m1aodec
@@ 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.m2acdec
@@ 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.m5aadec
@@ Property / Symbols used @@
+imaginary unit
@@ Property / Symbols used: imaginary unit / rank @@
+Normal rank
@@ Property / Symbols used: imaginary unit / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{i}}}$ 
\iunit
@@ Property / Symbols used: imaginary unit / qualifier @@
+xml-id: C1.S9.E1.m2adec
@@ Property / Symbols used @@
+Q10771
@@ Property / Symbols used: Q10771 / rank @@
+Normal rank
@@ Property / Symbols used: Q10771 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\int}}$ 
\int
@@ Property / Symbols used: Q10771 / qualifier @@
+xml-id: C1.S4.SS4.m3aodec
@@ Property / Symbols used @@
+Q11743
@@ Property / Symbols used: Q11743 / rank @@
+Normal rank
@@ Property / Symbols used: Q11743 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle y}}$ 
y
@@ Property / Symbols used: Q11743 / qualifier @@
+xml-id: C18.S1.XMD1.m1kdec
@@ Property / Symbols used @@
+Q11726
@@ Property / Symbols used: Q11726 / rank @@
+Normal rank
@@ Property / Symbols used: Q11726 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q11726 / qualifier @@
+xml-id: C18.S1.XMD6.m1odec
@@ Property / Symbols used @@
+Q11727
@@ Property / Symbols used: Q11727 / rank @@
+Normal rank
@@ Property / Symbols used: Q11727 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q11727 / qualifier @@
+xml-id: C18.S2.XMD3.m1mdec

DLMF:18.17.E16 (Q5757): Difference between revisions

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

P n ( α , β ) ⁡ ( x ) Jacobi-polynomial-P 𝛼 𝛽 𝑛 𝑥 {\displaystyle{\displaystyle P^{(\NVar{\alpha},\NVar{\beta})}_{\NVar{n}}\left(% \NVar{x}\right)}}

F 1 1 ⁡ ( a ; b ; z ) Kummer-confluent-hypergeometric-M-as-1F1 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle{{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}% \right)}}

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

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

! {\displaystyle{\displaystyle!}}

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

∫ {\displaystyle{\displaystyle\int}}

y 𝑦 {\displaystyle{\displaystyle y}}

n 𝑛 {\displaystyle{\displaystyle n}}

x 𝑥 {\displaystyle{\displaystyle x}}

Latest revision as of 15:47, 2 January 2020

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

${\displaystyle{\displaystyle P^{(\NVar{\alpha},\NVar{\beta})}_{\NVar{n}}\left(% \NVar{x}\right)}}$

${\displaystyle{\displaystyle{{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}% \right)}}$

${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$

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

${\displaystyle{\displaystyle!}}$

${\displaystyle{\displaystyle\mathrm{i}}}$

${\displaystyle{\displaystyle\int}}$

${\displaystyle{\displaystyle y}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle x}}$