@@ Property / Symbols used @@
+Q10919
@@ Property / Symbols used: Q10919 / rank @@
+Normal rank
@@ Property / Symbols used: Q10919 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}$ 
\AiryAi@{\NVar{z}}
@@ Property / Symbols used: Q10919 / qualifier @@
+xml-id: C9.S2.SS1.m1ajdec
@@ Property / Symbols used @@
+Q11081
@@ Property / Symbols used: Q11081 / rank @@
+Normal rank
@@ Property / Symbols used: Q11081 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}$ 
\AiryBi@{\NVar{z}}
@@ Property / Symbols used: Q11081 / qualifier @@
+xml-id: C9.S2.SS1.m2ahdec
@@ Property / Symbols used @@
+Bessel function of the third kind (or Hankel function)
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle{H^{(1)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}$ 
\HankelH{1}{\NVar{\nu}}@{\NVar{z}}
+xml-id: C10.S2.E5.m2ahdec
@@ 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.m2ajdec
@@ 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.m2ahdec
@@ 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.m2ahdec
@@ Property / Symbols used @@
+Q11381
@@ Property / Symbols used: Q11381 / rank @@
+Normal rank
@@ Property / Symbols used: Q11381 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11381 / qualifier @@
+xml-id: C9.S1.XMD3.m1pdec
@@ Property / Symbols used @@
+change of variable (locally)
@@ Property / Symbols used: change of variable (locally) / rank @@
+Normal rank
@@ Property / Symbols used: change of variable (locally) / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\zeta(z)}}$ 
\zeta(z)
@@ Property / Symbols used: change of variable (locally) / qualifier @@
+xml-id: C9.S6.XMD2.m1gdec

DLMF:9.6.E17 (Q2797): Difference between revisions

Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}

Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}

H ν ( 1 ) ⁡ ( z ) Hankel-H-1-Bessel-third-kind 𝜈 𝑧 {\displaystyle{\displaystyle{H^{(1)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}

π {\displaystyle{\displaystyle\pi}}

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

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

z 𝑧 {\displaystyle{\displaystyle z}}

ζ ⁢ ( z ) 𝜁 𝑧 {\displaystyle{\displaystyle\zeta(z)}}

Latest revision as of 14:29, 2 January 2020

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${\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle{H^{(1)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}$

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

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

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

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle\zeta(z)}}$