@@ Property / Symbols used @@
+complex conjugate
@@ Property / Symbols used: complex conjugate / rank @@
+Normal rank
@@ Property / Symbols used: complex conjugate / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\overline{\NVar{z}}}}$ 
\conj{\NVar{z}}
@@ Property / Symbols used: complex conjugate / qualifier @@
+xml-id: C1.S9.E11.m2abdec
@@ Property / Symbols used @@
+cosine function
@@ Property / Symbols used: cosine function / rank @@
+Normal rank
@@ Property / Symbols used: cosine function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\cos\NVar{z}}}$ 
\cos@@{\NVar{z}}
@@ Property / Symbols used: cosine function / qualifier @@
+xml-id: C4.S14.E2.m2acdec
@@ 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.m2adec
@@ Property / Symbols used @@
+sine function
@@ Property / Symbols used: sine function / rank @@
+Normal rank
@@ Property / Symbols used: sine function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\sin\NVar{z}}}$ 
\sin@@{\NVar{z}}
@@ Property / Symbols used: sine function / qualifier @@
+xml-id: C4.S14.E1.m2acdec
@@ Property / Symbols used @@
+spherical harmonic
@@ Property / Symbols used: spherical harmonic / rank @@
+Normal rank
@@ Property / Symbols used: spherical harmonic / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle Y_{{\NVar{l}},{\NVar{m}}}\left(\NVar{\theta},% \NVar{\phi}\right)}}$ 
\sphharmonicY{\NVar{l}}{\NVar{m}}@{\NVar{\theta}}{\NVar{\phi}}
@@ Property / Symbols used: spherical harmonic / qualifier @@
+xml-id: C14.S30.E1.m2agdec
@@ Property / Symbols used @@
+Q11641
@@ Property / Symbols used: Q11641 / rank @@
+Normal rank
@@ Property / Symbols used: Q11641 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle m}}$ 
m
@@ Property / Symbols used: Q11641 / qualifier @@
+xml-id: C14.S30.XMD1.m1hdec
@@ Property / Symbols used @@
+Q11642
@@ Property / Symbols used: Q11642 / rank @@
+Normal rank
@@ Property / Symbols used: Q11642 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle l}}$ 
l
@@ Property / Symbols used: Q11642 / qualifier @@
+xml-id: C14.S30.XMD2.m1hdec

DLMF:14.30.E9 (Q4971): Difference between revisions

z ¯ 𝑧 {\displaystyle{\displaystyle\overline{\NVar{z}}}}

cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}

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)}}

sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}

Y l , m ⁡ ( θ , ϕ ) spherical-harmonic-Y 𝑙 𝑚 𝜃 italic-ϕ {\displaystyle{\displaystyle Y_{{\NVar{l}},{\NVar{m}}}\left(\NVar{\theta},% \NVar{\phi}\right)}}

m 𝑚 {\displaystyle{\displaystyle m}}

l 𝑙 {\displaystyle{\displaystyle l}}

Latest revision as of 13:44, 2 January 2020

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${\displaystyle{\displaystyle\overline{\NVar{z}}}}$

${\displaystyle{\displaystyle\cos\NVar{z}}}$

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

${\displaystyle{\displaystyle\sin\NVar{z}}}$

${\displaystyle{\displaystyle Y_{{\NVar{l}},{\NVar{m}}}\left(\NVar{\theta},% \NVar{\phi}\right)}}$

${\displaystyle{\displaystyle m}}$

${\displaystyle{\displaystyle l}}$