DLMF:9.8.E11 (Q2843): Difference between revisions

@@ Property / Symbols used @@
+Bessel function of the first kind
@@ Property / Symbols used: Bessel function of the first kind / rank @@
+Normal rank
@@ Property / Symbols used: Bessel function of the first kind / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}$ 
\BesselJ{\NVar{\nu}}@{\NVar{z}}
@@ Property / Symbols used: Bessel function of the first kind / qualifier @@
+xml-id: C10.S2.E2.m2abdec
@@ Property / Symbols used @@
+Bessel function of the second kind
@@ Property / Symbols used: Bessel function of the second kind / rank @@
+Normal rank
@@ Property / Symbols used: Bessel function of the second kind / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}$ 
\BesselY{\NVar{\nu}}@{\NVar{z}}
@@ Property / Symbols used: Bessel function of the second kind / qualifier @@
+xml-id: C10.S2.E3.m2abdec
@@ 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.m2adec
@@ Property / Symbols used @@
+Q10816
@@ Property / Symbols used: Q10816 / rank @@
+Normal rank
@@ Property / Symbols used: Q10816 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}$ 
\atan@@{\NVar{z}}
@@ Property / Symbols used: Q10816 / qualifier @@
+xml-id: C4.S23.SS2.p1.m7abdec
@@ Property / Symbols used @@
+Airy phase function
@@ Property / Symbols used: Airy phase function / rank @@
+Normal rank
@@ Property / Symbols used: Airy phase function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\theta\left(\NVar{z}\right)}}$ 
\Airyphasetheta@{\NVar{z}}
@@ Property / Symbols used: Airy phase function / qualifier @@
+xml-id: C9.S8.E4.m2acdec
@@ Property / Symbols used @@
+Q11382
@@ Property / Symbols used: Q11382 / rank @@
+Normal rank
@@ Property / Symbols used: Q11382 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q11382 / qualifier @@
+xml-id: C9.S1.XMD2.m1jdec
@@ Property / Symbols used @@
+Q11393
@@ Property / Symbols used: Q11393 / rank @@
+Normal rank
@@ Property / Symbols used: Q11393 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\xi}}$ 
\xi
@@ Property / Symbols used: Q11393 / qualifier @@
+xml-id: C9.S8.XMD1.m1bdec

DLMF:9.8.E11 (Q2843): Difference between revisions

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

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

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

${\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}$

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

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle\xi}}$

Latest revision as of 14:39, 2 January 2020

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DLMF:9.8.E11 (Q2843): Difference between revisions

J ν ⁡ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}

Y ν ⁡ ( z ) Bessel-Y-Weber 𝜈 𝑧 {\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}

π {\displaystyle{\displaystyle\pi}}

arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}

θ ⁡ ( z ) phase-Airy-Theta 𝑧 {\displaystyle{\displaystyle\theta\left(\NVar{z}\right)}}

x 𝑥 {\displaystyle{\displaystyle x}}

ξ 𝜉 {\displaystyle{\displaystyle\xi}}

Latest revision as of 14:39, 2 January 2020

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

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

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

${\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}$

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

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle\xi}}$