@@ Property / Symbols used @@
+Bessel function of the third kind (or Hankel function)
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle{H^{(2)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}$ 
\HankelH{2}{\NVar{\nu}}@{\NVar{z}}
+xml-id: C10.S2.E6.m2adec
@@ Property / Symbols used @@
+Whittaker confluent hypergeometric function
@@ Property / Symbols used: Whittaker confluent hypergeometric function / rank @@
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$ 
\WhittakerconfhyperW{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}
+xml-id: C13.S14.E3.m2abdec
@@ 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.m2abdec
@@ Property / Symbols used @@
+Q11091
@@ Property / Symbols used: Q11091 / rank @@
+Normal rank
@@ Property / Symbols used: Q11091 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{env}\mskip-2.0mu Y_{\NVar{\nu}}\left(\NVar% {x}\right)}}$ 
\envBesselY{\NVar{\nu}}@{\NVar{x}}
@@ Property / Symbols used: Q11091 / qualifier @@
+xml-id: C2.S8.SS4.p5.m4abdec
@@ 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 @@
+Q11566
@@ Property / Symbols used: Q11566 / rank @@
+Normal rank
@@ Property / Symbols used: Q11566 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q11566 / qualifier @@
+xml-id: C13.S1.XMD4.m1cdec

DLMF:13.21.E4 (Q4612): Difference between revisions

H \NVar ⁢ ν ( 2 ) ⁡ ( \NVar ⁢ z ) Hankel-H-2-Bessel-third-kind \NVar 𝜈 \NVar 𝑧 {\displaystyle{\displaystyle{H^{(2)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}

W \NVar ⁢ κ , \NVar ⁢ μ ⁡ ( \NVar ⁢ z ) Whittaker-confluent-hypergeometric-W \NVar 𝜅 \NVar 𝜇 \NVar 𝑧 {\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

π {\displaystyle{\displaystyle\pi}}

env ⁢ Y ν ⁡ ( x ) envelope-Bessel-Y 𝜈 𝑥 {\displaystyle{\displaystyle\mathrm{env}\mskip-2.0mu Y_{\NVar{\nu}}\left(\NVar% {x}\right)}}

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

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

x 𝑥 {\displaystyle{\displaystyle x}}

Latest revision as of 16:17, 2 January 2020

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${\displaystyle{\displaystyle{H^{(2)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$

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

${\displaystyle{\displaystyle\mathrm{env}\mskip-2.0mu Y_{\NVar{\nu}}\left(\NVar% {x}\right)}}$

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

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

${\displaystyle{\displaystyle x}}$