@@ 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.m2agdec
@@ Property / Symbols used @@
+modified spherical Bessel function
@@ Property / Symbols used: modified spherical Bessel function / rank @@
+Normal rank
@@ Property / Symbols used: modified spherical Bessel function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle{\mathsf{i}^{(1)}_{\NVar{n}}}\left(\NVar{z}\right)}}$ 
\modsphBesseli{1}{\NVar{n}}@{\NVar{z}}
@@ Property / Symbols used: modified spherical Bessel function / qualifier @@
+xml-id: C10.S47.E7.m2aadec
@@ Property / Symbols used @@
+modified spherical Bessel function
@@ Property / Symbols used: modified spherical Bessel function / rank @@
+Normal rank
@@ Property / Symbols used: modified spherical Bessel function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle{\mathsf{i}^{(2)}_{\NVar{n}}}\left(\NVar{z}\right)}}$ 
\modsphBesseli{2}{\NVar{n}}@{\NVar{z}}
@@ Property / Symbols used: modified spherical Bessel function / qualifier @@
+xml-id: C10.S47.E8.m2aadec
@@ Property / Symbols used @@
+modified spherical Bessel function
@@ Property / Symbols used: modified spherical Bessel function / rank @@
+Normal rank
@@ Property / Symbols used: modified spherical Bessel function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathsf{k}_{\NVar{n}}\left(\NVar{z}\right)}}$ 
\modsphBesselK{\NVar{n}}@{\NVar{z}}
@@ Property / Symbols used: modified spherical Bessel function / qualifier @@
+xml-id: C10.S47.E9.m2aadec
@@ 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.m1jdec
@@ Property / Symbols used @@
+Q11426
@@ Property / Symbols used: Q11426 / rank @@
+Normal rank
@@ Property / Symbols used: Q11426 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11426 / qualifier @@
+xml-id: C10.S1.XMD6.m1jdec

DLMF:10.47.E11 (Q3680): Difference between revisions

π {\displaystyle{\displaystyle\pi}}

𝗂 n ( 1 ) ⁡ ( z ) spherical-Bessel-I-1 𝑛 𝑧 {\displaystyle{\displaystyle{\mathsf{i}^{(1)}_{\NVar{n}}}\left(\NVar{z}\right)}}

𝗂 n ( 2 ) ⁡ ( z ) spherical-Bessel-I-2 𝑛 𝑧 {\displaystyle{\displaystyle{\mathsf{i}^{(2)}_{\NVar{n}}}\left(\NVar{z}\right)}}

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

n 𝑛 {\displaystyle{\displaystyle n}}

z 𝑧 {\displaystyle{\displaystyle z}}

Latest revision as of 14:09, 2 January 2020

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

${\displaystyle{\displaystyle{\mathsf{i}^{(1)}_{\NVar{n}}}\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle{\mathsf{i}^{(2)}_{\NVar{n}}}\left(\NVar{z}\right)}}$

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

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle z}}$