@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\nu\pm\mu\neq-1,-2,-3,\dots}}$ 
\nu\pm\mu\neq-1,-2,-3,\dots
+Normal rank
@@ Property / Symbols used @@
+gamma function
@@ Property / Symbols used: gamma function / rank @@
+Normal rank
@@ Property / Symbols used: gamma function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$ 
\EulerGamma@{\NVar{z}}
@@ Property / Symbols used: gamma function / qualifier @@
+xml-id: C5.S2.E1.m2acdec
@@ Property / Symbols used @@
+Ferrers function of the second kind
@@ Property / Symbols used: Ferrers function of the second kind / rank @@
+Normal rank
@@ Property / Symbols used: Ferrers function of the second kind / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathsf{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}$ 
\FerrersQ[\NVar{\mu}]{\NVar{\nu}}@{\NVar{x}}
@@ Property / Symbols used: Ferrers function of the second kind / qualifier @@
+xml-id: C14.S3.E2.m2abdec
@@ Property / Symbols used @@
+asymptotic equality
@@ Property / Symbols used: asymptotic equality / rank @@
+Normal rank
@@ Property / Symbols used: asymptotic equality / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\sim}}$ 
\asympeq
@@ Property / Symbols used: asymptotic equality / qualifier @@
+xml-id: C2.S1.E1.m2addec
@@ 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.m1edec
@@ 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.m1cdec
@@ Property / Symbols used @@
+Q11590
@@ Property / Symbols used: Q11590 / rank @@
+Normal rank
@@ Property / Symbols used: Q11590 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\nu}}$ 
\nu
@@ Property / Symbols used: Q11590 / qualifier @@
+xml-id: C14.S1.XMD8.m1edec

DLMF:14.8.E6 (Q4780): Difference between revisions

ν ± μ ≠ - 1 , - 2 , - 3 , … plus-or-minus 𝜈 𝜇 1 2 3 … {\displaystyle{\displaystyle\nu\pm\mu\neq-1,-2,-3,\dots}}

Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

𝖰 ν μ ⁡ ( x ) Ferrers-Legendre-Q-first-kind 𝜇 𝜈 𝑥 {\displaystyle{\displaystyle\mathsf{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}

x 𝑥 {\displaystyle{\displaystyle x}}

μ 𝜇 {\displaystyle{\displaystyle\mu}}

ν 𝜈 {\displaystyle{\displaystyle\nu}}

Latest revision as of 01:32, 2 January 2020

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${\displaystyle{\displaystyle\nu\pm\mu\neq-1,-2,-3,\dots}}$

${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle\mathsf{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}$

${\displaystyle{\displaystyle\sim}}$

${\displaystyle{\displaystyle x}}$

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

${\displaystyle{\displaystyle\nu}}$