@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\Re(\lambda+\nu)>-1}}$ 
\realpart@@{(\lambda+\nu)}>-1
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\lambda}}$ 
\lambda
@@ Property / constraint: ${\displaystyle{\displaystyle\lambda}}$ / rank @@
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\nu\neq-1,-2,-3,\dots}}$ 
\nu\neq-1,-2,-3,\dots
+Normal rank
@@ 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.m1ardec
@@ Property / Symbols used @@
+psi (or digamma) function
@@ Property / Symbols used: psi (or digamma) function / rank @@
+Normal rank
@@ Property / Symbols used: psi (or digamma) function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}$ 
\digamma@{\NVar{z}}
@@ Property / Symbols used: psi (or digamma) function / qualifier @@
+xml-id: C5.S2.E2.m2afdec
@@ 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.m3ardec
@@ Property / Symbols used @@
+Q10811
@@ Property / Symbols used: Q10811 / rank @@
+Normal rank
@@ Property / Symbols used: Q10811 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Re}}$ 
\realpart@@
@@ Property / Symbols used: Q10811 / qualifier @@
+xml-id: C1.S9.E2.m1addec
@@ Property / Symbols used @@
+Q11448
@@ Property / Symbols used: Q11448 / rank @@
+Normal rank
@@ Property / Symbols used: Q11448 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle Q_{\NVar{\nu}}\left(\NVar{z}\right)=Q^{0}_{\nu}% \left(z\right)}}$ 
\assLegendreQ[]{\NVar{\nu}}@{\NVar{z}}=\assLegendreQ[0]{\nu}@{z}
@@ Property / Symbols used: Q11448 / qualifier @@
+xml-id: C14.S2.SS2.p2.m5aadec
@@ 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.m1qdec
@@ 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.m1ldec

DLMF:14.17.E19 (Q4900): Difference between revisions

ℜ ⁡ ( λ + ν ) > - 1 𝜆 𝜈 1 {\displaystyle{\displaystyle\Re(\lambda+\nu)>-1}}

λ 𝜆 {\displaystyle{\displaystyle\lambda}}

ν ≠ - 1 , - 2 , - 3 , … 𝜈 1 2 3 … {\displaystyle{\displaystyle\nu\neq-1,-2,-3,\dots}}

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

ψ ⁡ ( z ) digamma 𝑧 {\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}

∫ {\displaystyle{\displaystyle\int}}

ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}

Q ν ⁡ ( z ) = Q ν 0 ⁡ ( z ) shorthand-Legendre-Q-second-kind 𝜈 𝑧 Legendre-Q-second-kind 0 𝜈 𝑧 {\displaystyle{\displaystyle Q_{\NVar{\nu}}\left(\NVar{z}\right)=Q^{0}_{\nu}% \left(z\right)}}

x 𝑥 {\displaystyle{\displaystyle x}}

ν 𝜈 {\displaystyle{\displaystyle\nu}}

Latest revision as of 13:26, 2 January 2020

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${\displaystyle{\displaystyle\Re(\lambda+\nu)>-1}}$

${\displaystyle{\displaystyle\lambda}}$

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

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

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

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

${\displaystyle{\displaystyle\Re}}$

${\displaystyle{\displaystyle Q_{\NVar{\nu}}\left(\NVar{z}\right)=Q^{0}_{\nu}% \left(z\right)}}$

${\displaystyle{\displaystyle x}}$

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