@@ 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.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.m2aadec
@@ Property / Symbols used @@
+cosine function
@@ Property / Symbols used: cosine function / rank @@
+Normal rank
@@ Property / Symbols used: cosine function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\cos\NVar{z}}}$ 
\cos@@{\NVar{z}}
@@ Property / Symbols used: cosine function / qualifier @@
+xml-id: C4.S14.E2.m2adec
@@ Property / Symbols used @@
+Q11750
@@ Property / Symbols used: Q11750 / rank @@
+Normal rank
@@ Property / Symbols used: Q11750 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11750 / qualifier @@
+xml-id: C18.S1.XMD2.m1dec
@@ 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.m1ddec

DLMF:18.11.E5 (Q5639): Difference between revisions

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

cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}

z 𝑧 {\displaystyle{\displaystyle z}}

n 𝑛 {\displaystyle{\displaystyle n}}

Latest revision as of 15:29, 2 January 2020

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

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

${\displaystyle{\displaystyle\cos\NVar{z}}}$

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle n}}$