@@ 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.m1acdec
@@ Property / Symbols used @@
+derivative of $$f$$  with respect to  $$x$$
@@ Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / rank @@
+Normal rank
@@ Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$ 
\deriv{\NVar{f}}{\NVar{x}}
@@ Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier @@
+xml-id: C1.S4.E4.m2aadec
@@ 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.m1abdec
@@ 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.m3abdec
@@ Property / Symbols used @@
+Q11595
@@ Property / Symbols used: Q11595 / rank @@
+Normal rank
@@ Property / Symbols used: Q11595 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathsf{P}_{\NVar{\nu}}\left(\NVar{x}\right)=% \mathsf{P}^{0}_{\nu}\left(x\right)}}$ 
\FerrersP[]{\NVar{\nu}}@{\NVar{x}}=\FerrersP[0]{\nu}@{x}
@@ Property / Symbols used: Q11595 / qualifier @@
+xml-id: C14.S2.SS2.p2.m2abdec
@@ Property / Symbols used @@
+Q12357
@@ Property / Symbols used: Q12357 / rank @@
+Normal rank
@@ Property / Symbols used: Q12357 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle m}}$ 
m
@@ Property / Symbols used: Q12357 / qualifier @@
+xml-id: C29.S1.XMD1.m1adec
@@ Property / Symbols used @@
+Q12382
@@ Property / Symbols used: Q12382 / rank @@
+Normal rank
@@ Property / Symbols used: Q12382 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle y}}$ 
y
@@ Property / Symbols used: Q12382 / qualifier @@
+xml-id: C29.S1.XMD5.m1bdec
@@ Property / Symbols used @@
+Q12348
@@ Property / Symbols used: Q12348 / rank @@
+Normal rank
@@ Property / Symbols used: Q12348 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q12348 / qualifier @@
+xml-id: C29.S1.XMD6.m1edec
@@ Property / Symbols used @@
+Q12350
@@ Property / Symbols used: Q12350 / rank @@
+Normal rank
@@ Property / Symbols used: Q12350 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k}}$ 
k
@@ Property / Symbols used: Q12350 / qualifier @@
+xml-id: C29.S1.XMD8.m1edec
@@ Property / Symbols used @@
+Q12351
@@ Property / Symbols used: Q12351 / rank @@
+Normal rank
@@ Property / Symbols used: Q12351 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\nu}}$ 
\nu
@@ Property / Symbols used: Q12351 / qualifier @@
+xml-id: C29.S1.XMD9.m1bdec
@@ Property / Symbols used @@
+Q12378
@@ Property / Symbols used: Q12378 / rank @@
+Normal rank
@@ Property / Symbols used: Q12378 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle w(z)}}$ 
w(z)
@@ Property / Symbols used: Q12378 / qualifier @@
+xml-id: C29.S8.XMD1.m1ddec

DLMF:29.8.E7 (Q8711): Difference between revisions

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

d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

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

∫ {\displaystyle{\displaystyle\int}}

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

m 𝑚 {\displaystyle{\displaystyle m}}

y 𝑦 {\displaystyle{\displaystyle y}}

z 𝑧 {\displaystyle{\displaystyle z}}

k 𝑘 {\displaystyle{\displaystyle k}}

ν 𝜈 {\displaystyle{\displaystyle\nu}}

w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}

Latest revision as of 01:23, 2 January 2020

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

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

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

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

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

${\displaystyle{\displaystyle m}}$

${\displaystyle{\displaystyle y}}$

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle k}}$

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

${\displaystyle{\displaystyle w(z)}}$