@@ Property / constraint @@
+ ${\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{3}\pi}}$ 
|\phase@@{z}|<\tfrac{1}{3}\pi
+Normal rank
@@ Property / Symbols used @@
+Scorer function (inhomogeneous Airy function)
@@ Property / Symbols used: Scorer function (inhomogeneous Airy function) / rank @@
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{Hi}\left(\NVar{z}\right)}}$ 
\ScorerHi@{\NVar{z}}
+xml-id: C9.S12.E5.m2andec
@@ 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.m2aodec
@@ Property / Symbols used @@
+Q10770
@@ Property / Symbols used: Q10770 / rank @@
+Normal rank
@@ Property / Symbols used: Q10770 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$ 
\diff{\NVar{x}}
@@ Property / Symbols used: Q10770 / qualifier @@
+xml-id: C1.S4.SS4.m1aedec
@@ 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.m3aedec
@@ 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.m2adec
@@ Property / Symbols used @@
+Q10817
@@ Property / Symbols used: Q10817 / rank @@
+Normal rank
@@ Property / Symbols used: Q10817 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{ph}}}$ 
\phase
@@ Property / Symbols used: Q10817 / qualifier @@
+xml-id: C1.S9.E7.m1acdec
@@ 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.m1rdec
@@ Property / Symbols used @@
+Q11412
@@ Property / Symbols used: Q11412 / rank @@
+Normal rank
@@ Property / Symbols used: Q11412 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\zeta}}$ 
\zeta
@@ Property / Symbols used: Q11412 / qualifier @@
+xml-id: C9.S12.XMD7.m1dec

DLMF:9.12.E22 (Q2950): Difference between revisions

| ph ⁡ z | < 1 3 ⁢ π phase 𝑧 1 3 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{3}\pi}}

Hi ⁡ ( z ) Scorer-Hi 𝑧 {\displaystyle{\displaystyle\mathrm{Hi}\left(\NVar{z}\right)}}

π {\displaystyle{\displaystyle\pi}}

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

∫ {\displaystyle{\displaystyle\int}}

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

ph phase {\displaystyle{\displaystyle\operatorname{ph}}}

z 𝑧 {\displaystyle{\displaystyle z}}

ζ 𝜁 {\displaystyle{\displaystyle\zeta}}

Latest revision as of 14:55, 2 January 2020

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${\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{3}\pi}}$

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

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

${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$

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

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

${\displaystyle{\displaystyle\operatorname{ph}}}$

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle\zeta}}$