@@ Property / Symbols used @@
+Q11600
@@ Property / Symbols used: Q11600 / rank @@
+Normal rank
@@ Property / Symbols used: Q11600 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$ 
\compellintKk@{\NVar{k}}
@@ Property / Symbols used: Q11600 / qualifier @@
+xml-id: C19.S2.E8.m1addec
@@ Property / Symbols used @@
+hyperbolic cosine function
@@ Property / Symbols used: hyperbolic cosine function / rank @@
+Normal rank
@@ Property / Symbols used: hyperbolic cosine function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\cosh\NVar{z}}}$ 
\cosh@@{\NVar{z}}
@@ Property / Symbols used: hyperbolic cosine function / qualifier @@
+xml-id: C4.S28.E2.m2aedec
@@ Property / Symbols used @@
+hyperbolic tangent function
@@ Property / Symbols used: hyperbolic tangent function / rank @@
+Normal rank
@@ Property / Symbols used: hyperbolic tangent function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\tanh\NVar{z}}}$ 
\tanh@@{\NVar{z}}
@@ Property / Symbols used: hyperbolic tangent function / qualifier @@
+xml-id: C4.S28.E4.m2adec
@@ Property / Symbols used @@
+Q11447
@@ Property / Symbols used: Q11447 / rank @@
+Normal rank
@@ Property / Symbols used: Q11447 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle P_{\NVar{\nu}}\left(\NVar{z}\right)=P^{0}_{\nu}% \left(z\right)}}$ 
\assLegendreP[]{\NVar{\nu}}@{\NVar{z}}=\assLegendreP[0]{\nu}@{z}
@@ Property / Symbols used: Q11447 / qualifier @@
+xml-id: C14.S2.SS2.p2.m3acdec
@@ Property / Symbols used @@
+Q11599
@@ Property / Symbols used: Q11599 / rank @@
+Normal rank
@@ Property / Symbols used: Q11599 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\xi>0}}$ 
\xi>0
@@ Property / Symbols used: Q11599 / qualifier @@
+xml-id: C14.S5.XMD1.m1edec

DLMF:14.5.E25 (Q4737): Difference between revisions

K ⁡ ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}}

cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}

tanh ⁡ z 𝑧 {\displaystyle{\displaystyle\tanh\NVar{z}}}

P ν ⁡ ( z ) = P ν 0 ⁡ ( z ) shorthand-Legendre-P-first-kind 𝜈 𝑧 Legendre-P-first-kind 0 𝜈 𝑧 {\displaystyle{\displaystyle P_{\NVar{\nu}}\left(\NVar{z}\right)=P^{0}_{\nu}% \left(z\right)}}

ξ > 0 𝜉 0 {\displaystyle{\displaystyle\xi>0}}

Latest revision as of 01:25, 2 January 2020

Statements

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Navigation menu

Search

${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$

${\displaystyle{\displaystyle\cosh\NVar{z}}}$

${\displaystyle{\displaystyle\tanh\NVar{z}}}$

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

${\displaystyle{\displaystyle\xi>0}}$