@@ 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 @@
+Q11447
@@ Property / Symbols used: Q11447 / rank @@
+Normal rank
@@ Property / Symbols used: Q11447 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle P_{\NVar{\nu}}\left(\NVar{z}\right)=P^{0}_{\nu}% \left(z\right)}}$ 
\assLegendreP[]{\NVar{\nu}}@{\NVar{z}}=\assLegendreP[0]{\nu}@{z}
@@ Property / Symbols used: Q11447 / qualifier @@
+xml-id: C14.S2.SS2.p2.m3adec
@@ Property / Symbols used @@
+spherical Bessel function of the first kind
@@ Property / Symbols used: spherical Bessel function of the first kind / rank @@
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}}$ 
\sphBesselJ{\NVar{n}}@{\NVar{z}}
+xml-id: C10.S47.E3.m2adec
@@ Property / Symbols used @@
+spherical Bessel function of the second kind
@@ Property / Symbols used: spherical Bessel function of the second kind / rank @@
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\mathsf{y}_{\NVar{n}}\left(\NVar{z}\right)}}$ 
\sphBesselY{\NVar{n}}@{\NVar{z}}
+xml-id: C10.S47.E4.m2adec
@@ Property / Symbols used @@
+Q11429
@@ Property / Symbols used: Q11429 / rank @@
+Normal rank
@@ Property / Symbols used: Q11429 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q11429 / qualifier @@
+xml-id: C10.S1.XMD2.m1dec

DLMF:10.60.E1 (Q3776): Difference between revisions

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

P ν ⁡ ( z ) = P ν 0 ⁡ ( z ) shorthand-Legendre-P-first-kind 𝜈 𝑧 Legendre-P-first-kind 0 𝜈 𝑧 {\displaystyle{\displaystyle P_{\NVar{\nu}}\left(\NVar{z}\right)=P^{0}_{\nu}% \left(z\right)}}

𝗃 n ⁡ ( z ) spherical-Bessel-J 𝑛 𝑧 {\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}}

𝗒 n ⁡ ( z ) spherical-Bessel-Y 𝑛 𝑧 {\displaystyle{\displaystyle\mathsf{y}_{\NVar{n}}\left(\NVar{z}\right)}}

n 𝑛 {\displaystyle{\displaystyle n}}

Latest revision as of 14:17, 2 January 2020

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

${\displaystyle{\displaystyle P_{\NVar{\nu}}\left(\NVar{z}\right)=P^{0}_{\nu}% \left(z\right)}}$

${\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle\mathsf{y}_{\NVar{n}}\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle n}}$