@@ 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 @@
+Q10771
@@ Property / Symbols used: Q10771 / rank @@
+Normal rank
@@ Property / Symbols used: Q10771 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\int}}$ 
\int
@@ Property / Symbols used: Q10771 / qualifier @@
+xml-id: C1.S4.SS4.m3azdec
@@ Property / Symbols used @@
+modified Bessel function of the second kind
@@ Property / Symbols used: modified Bessel function of the second kind / rank @@
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}$ 
\modBesselK{\NVar{\nu}}@{\NVar{z}}
+xml-id: C10.S25.E3.m2apdec
@@ 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.m1ndec
@@ Property / Symbols used @@
+Q11472
@@ Property / Symbols used: Q11472 / rank @@
+Normal rank
@@ Property / Symbols used: Q11472 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle y}}$ 
y
@@ Property / Symbols used: Q11472 / qualifier @@
+xml-id: C10.S1.XMD5.m1adec
@@ Property / Symbols used @@
+Q11482
@@ Property / Symbols used: Q11482 / rank @@
+Normal rank
@@ Property / Symbols used: Q11482 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle g(x)}}$ 
g(x)
@@ Property / Symbols used: Q11482 / qualifier @@
+xml-id: C10.S43.XMD1.m1adec
@@ Property / Symbols used @@
+Kontorovich–Lebedev transform of $$g(x)$$  (locally)
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle f(x)}}$ 
f(x)
+xml-id: C10.S43.XMD2.m1adec

DLMF:10.43.E31 (Q3645): Difference between revisions

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

∫ {\displaystyle{\displaystyle\int}}

K ν ⁡ ( z ) modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}

x 𝑥 {\displaystyle{\displaystyle x}}

y 𝑦 {\displaystyle{\displaystyle y}}

g ⁢ ( x ) 𝑔 𝑥 {\displaystyle{\displaystyle g(x)}}

f ⁢ ( x ) 𝑓 𝑥 {\displaystyle{\displaystyle f(x)}}

Latest revision as of 14:04, 2 January 2020

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

${\displaystyle{\displaystyle\int}}$

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

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle y}}$

${\displaystyle{\displaystyle g(x)}}$

${\displaystyle{\displaystyle f(x)}}$