@@ Property / Symbols used @@
+Kelvin function
@@ Property / Symbols used: Kelvin function / rank @@
+Normal rank
@@ Property / Symbols used: Kelvin function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{kei}_{\NVar{\nu}}\left(\NVar{x}% \right)}}$ 
\Kelvinkei{\NVar{\nu}}@{\NVar{x}}
@@ Property / Symbols used: Kelvin function / qualifier @@
+xml-id: C10.S61.E2.m3adec
@@ Property / Symbols used @@
+Kelvin function
@@ Property / Symbols used: Kelvin function / rank @@
+Normal rank
@@ Property / Symbols used: Kelvin function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{ker}_{\NVar{\nu}}\left(\NVar{x}% \right)}}$ 
\Kelvinker{\NVar{\nu}}@{\NVar{x}}
@@ Property / Symbols used: Kelvin function / qualifier @@
+xml-id: C10.S61.E2.m2adec
@@ 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.m2aadec
@@ 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.m2aadec
@@ Property / Symbols used @@
+modulus of derivatives of Bessel functions
@@ Property / Symbols used: modulus of derivatives of Bessel functions / rank @@
+Normal rank
@@ Property / Symbols used: modulus of derivatives of Bessel functions / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle N_{\NVar{\nu}}\left(\NVar{x}\right)}}$ 
\HankelmodderivN{\NVar{\nu}}@{\NVar{x}}
@@ Property / Symbols used: modulus of derivatives of Bessel functions / qualifier @@
+xml-id: C10.S18.E2.m2adec
@@ Property / Symbols used @@
+Q11445
@@ Property / Symbols used: Q11445 / rank @@
+Normal rank
@@ Property / Symbols used: Q11445 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\phi_{\NVar{\nu}}\left(\NVar{x}\right)}}$ 
\Hankelphasederivphi{\NVar{\nu}}@{\NVar{x}}
@@ Property / Symbols used: Q11445 / qualifier @@
+xml-id: C10.S18.E3.m2adec
@@ Property / Symbols used @@
+Q11435
@@ Property / Symbols used: Q11435 / rank @@
+Normal rank
@@ Property / Symbols used: Q11435 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q11435 / qualifier @@
+xml-id: C10.S1.XMD4.m1adec
@@ Property / Symbols used @@
+Q11427
@@ Property / Symbols used: Q11427 / rank @@
+Normal rank
@@ Property / Symbols used: Q11427 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\nu}}$ 
\nu
@@ Property / Symbols used: Q11427 / qualifier @@
+xml-id: C10.S1.XMD7.m1adec

DLMF:10.68.E2 (Q3863): Difference between revisions

kei ν ⁡ ( x ) Kelvin-kei 𝜈 𝑥 {\displaystyle{\displaystyle\operatorname{kei}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

ker ν ⁡ ( x ) Kelvin-ker 𝜈 𝑥 {\displaystyle{\displaystyle\operatorname{ker}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

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

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

N ν ⁡ ( x ) modulus-Bessel-N 𝜈 𝑥 {\displaystyle{\displaystyle N_{\NVar{\nu}}\left(\NVar{x}\right)}}

ϕ ν ⁡ ( x ) phase-Bessel-Phi 𝜈 𝑥 {\displaystyle{\displaystyle\phi_{\NVar{\nu}}\left(\NVar{x}\right)}}

x 𝑥 {\displaystyle{\displaystyle x}}

ν 𝜈 {\displaystyle{\displaystyle\nu}}

Latest revision as of 14:29, 2 January 2020

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${\displaystyle{\displaystyle\operatorname{kei}_{\NVar{\nu}}\left(\NVar{x}% \right)}}$

${\displaystyle{\displaystyle\operatorname{ker}_{\NVar{\nu}}\left(\NVar{x}% \right)}}$

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

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

${\displaystyle{\displaystyle N_{\NVar{\nu}}\left(\NVar{x}\right)}}$

${\displaystyle{\displaystyle\phi_{\NVar{\nu}}\left(\NVar{x}\right)}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle\nu}}$