DLMF:14.5.E27 (Q4739): Difference between revisions

@@ Property / Symbols used @@
+the ratio of the circumference of a circle to its diameter
+Normal rank
+test:  ${\displaystyle{\displaystyle\pi}}$ 
\cpi
+xml-id: C3.S12.E1.m2apdec
@@ Property / Symbols used @@
+Q11600
@@ Property / Symbols used: Q11600 / rank @@
+Normal rank
@@ Property / Symbols used: Q11600 / qualifier @@
+test:  ${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$ 
\compellintKk@{\NVar{k}}
@@ Property / Symbols used: Q11600 / qualifier @@
+xml-id: C19.S2.E8.m1afdec
@@ Property / Symbols used @@
+base of natural logarithm
@@ Property / Symbols used: base of natural logarithm / rank @@
+Normal rank
@@ Property / Symbols used: base of natural logarithm / qualifier @@
+test:  ${\displaystyle{\displaystyle\mathrm{e}}}$ 
\expe
@@ Property / Symbols used: base of natural logarithm / qualifier @@
+xml-id: C4.S2.E11.m2aadec
@@ Property / Symbols used @@
+hyperbolic cosine function
@@ Property / Symbols used: hyperbolic cosine function / rank @@
+Normal rank
@@ Property / Symbols used: hyperbolic cosine function / qualifier @@
+test:  ${\displaystyle{\displaystyle\cosh\NVar{z}}}$ 
\cosh@@{\NVar{z}}
@@ Property / Symbols used: hyperbolic cosine function / qualifier @@
+xml-id: C4.S28.E2.m2agdec
@@ Property / Symbols used @@
+Q11597
@@ Property / Symbols used: Q11597 / rank @@
+Normal rank
@@ Property / Symbols used: Q11597 / qualifier @@
+test:  ${\displaystyle{\displaystyle\boldsymbol{Q}_{\NVar{\nu}}\left(\NVar{z}\right)=% \boldsymbol{Q}^{0}_{\nu}\left(z\right)}}$ 
\assLegendreOlverQ[]{\NVar{\nu}}@{\NVar{z}}=\assLegendreOlverQ[0]{\nu}@{z}
@@ Property / Symbols used: Q11597 / qualifier @@
+xml-id: C14.S2.SS2.p2.m6acdec
@@ Property / Symbols used @@
+Q11599
@@ Property / Symbols used: Q11599 / rank @@
+Normal rank
@@ Property / Symbols used: Q11599 / qualifier @@
+test:  ${\displaystyle{\displaystyle\xi>0}}$ 
\xi>0
@@ Property / Symbols used: Q11599 / qualifier @@
+xml-id: C14.S5.XMD1.m1gdec

DLMF:14.5.E27 (Q4739): Difference between revisions

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

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

${\displaystyle{\displaystyle\mathrm{e}}}$

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

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

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

Latest revision as of 00:25, 2 January 2020

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DLMF:14.5.E27 (Q4739): Difference between revisions

π {\displaystyle{\displaystyle\pi}}

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

e {\displaystyle{\displaystyle\mathrm{e}}}

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

𝑸 ν ⁡ ( z ) = 𝑸 ν 0 ⁡ ( z ) shorthand-associated-Legendre-black-Q 𝜈 𝑧 associated-Legendre-black-Q 0 𝜈 𝑧 {\displaystyle{\displaystyle\boldsymbol{Q}_{\NVar{\nu}}\left(\NVar{z}\right)=% \boldsymbol{Q}^{0}_{\nu}\left(z\right)}}

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

Latest revision as of 00:25, 2 January 2020

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

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

${\displaystyle{\displaystyle\mathrm{e}}}$

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

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

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