@@ Property / Symbols used @@
+conical function
@@ Property / Symbols used: conical function / rank @@
+Normal rank
@@ Property / Symbols used: conical function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\widehat{\mathsf{Q}}^{-\NVar{\mu}}_{\NVar{-\frac{1% }{2}+i\tau}}\left(\NVar{x}\right)}}$ 
\DunsterQ{-\NVar{\mu}}{\NVar{-\frac{1}{2}+i\tau}}@{\NVar{x}}
@@ Property / Symbols used: conical function / qualifier @@
+xml-id: C14.S20.E2.m2ajdec
@@ 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.m2axdec
@@ 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.m2aadec
@@ Property / Symbols used @@
+Q11589
@@ Property / Symbols used: Q11589 / rank @@
+Normal rank
@@ Property / Symbols used: Q11589 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q11589 / qualifier @@
+xml-id: C14.S1.XMD1.m1udec
@@ Property / Symbols used @@
+Q11630
@@ Property / Symbols used: Q11630 / rank @@
+Normal rank
@@ Property / Symbols used: Q11630 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\tau}}$ 
\tau
@@ Property / Symbols used: Q11630 / qualifier @@
+xml-id: C14.S1.XMD3.m1ydec
@@ Property / Symbols used @@
+Q11591
@@ Property / Symbols used: Q11591 / rank @@
+Normal rank
@@ Property / Symbols used: Q11591 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mu}}$ 
\mu
@@ Property / Symbols used: Q11591 / qualifier @@
+xml-id: C14.S1.XMD7.m1mdec
@@ Property / Symbols used @@
+Q11633
@@ Property / Symbols used: Q11633 / rank @@
+Normal rank
@@ Property / Symbols used: Q11633 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\alpha}}$ 
\alpha
@@ Property / Symbols used: Q11633 / qualifier @@
+xml-id: C14.S20.XMD5.m1adec
@@ Property / Symbols used @@
+Q11634
@@ Property / Symbols used: Q11634 / rank @@
+Normal rank
@@ Property / Symbols used: Q11634 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\sigma(\mu,\tau)}}$ 
\sigma(\mu,\tau)
@@ Property / Symbols used: Q11634 / qualifier @@
+xml-id: C14.S20.XMD6.m1adec
@@ Property / Symbols used @@
+Q11635
@@ Property / Symbols used: Q11635 / rank @@
+Normal rank
@@ Property / Symbols used: Q11635 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\eta}}$ 
\eta
@@ Property / Symbols used: Q11635 / qualifier @@
+xml-id: C14.S20.XMD7.m1adec

DLMF:14.20.E18 (Q4939): Difference between revisions

𝖰 ^ - 1 2 + i ⁢ τ - μ ⁡ ( x ) Ferrers-conical-legendre-Q-hat 𝜇 1 2 𝑖 𝜏 𝑥 {\displaystyle{\displaystyle\widehat{\mathsf{Q}}^{-\NVar{\mu}}_{\NVar{-\frac{1% }{2}+i\tau}}\left(\NVar{x}\right)}}

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

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

x 𝑥 {\displaystyle{\displaystyle x}}

τ 𝜏 {\displaystyle{\displaystyle\tau}}

μ 𝜇 {\displaystyle{\displaystyle\mu}}

α 𝛼 {\displaystyle{\displaystyle\alpha}}

σ ⁢ ( μ , τ ) 𝜎 𝜇 𝜏 {\displaystyle{\displaystyle\sigma(\mu,\tau)}}

η 𝜂 {\displaystyle{\displaystyle\eta}}

Latest revision as of 13:36, 2 January 2020

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${\displaystyle{\displaystyle\widehat{\mathsf{Q}}^{-\NVar{\mu}}_{\NVar{-\frac{1% }{2}+i\tau}}\left(\NVar{x}\right)}}$

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

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

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle\tau}}$

${\displaystyle{\displaystyle\mu}}$

${\displaystyle{\displaystyle\alpha}}$

${\displaystyle{\displaystyle\sigma(\mu,\tau)}}$

${\displaystyle{\displaystyle\eta}}$