DLMF:10.13.E4 (Q3129): Difference between revisions

Latest revision as of 15:21, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:10.13.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle w^{\prime\prime}+\frac{1\mp 2\nu}{z}w^{\prime}+% \lambda^{2}w=0,}}

0 references

DLMF id

DLMF:10.13.E4

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comment

Warning: Falling back to standard tex;

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constraint

{\displaystyle{\displaystyle w=z^{\pm\nu}\mathscr{C}_{\nu}\left(\lambda z% \right)}}

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Symbols used

Q11430

Defining formula

{\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}

xml-id

C10.S2.Px5.p1.m3acdec

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Q11426

Defining formula

{\displaystyle{\displaystyle z}}

xml-id

C10.S1.XMD6.m1cdec

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Q11427

Defining formula

{\displaystyle{\displaystyle\nu}}

xml-id

C10.S1.XMD7.m1bdec

0 references

@@ Property / constraint @@
+ ${\displaystyle{\displaystyle w=z^{\pm\nu}\mathscr{C}_{\nu}\left(\lambda z% \right)}}$ 
w=z^{\pm\nu}\BesselC{\nu}@{\lambda z}
+Normal rank
@@ Property / Symbols used @@
+Q11430
@@ Property / Symbols used: Q11430 / rank @@
+Normal rank
@@ Property / Symbols used: Q11430 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}$ 
\BesselC{\NVar{\nu}}@{\NVar{z}}
@@ Property / Symbols used: Q11430 / qualifier @@
+xml-id: C10.S2.Px5.p1.m3acdec
@@ Property / Symbols used @@
+Q11426
@@ Property / Symbols used: Q11426 / rank @@
+Normal rank
@@ Property / Symbols used: Q11426 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11426 / qualifier @@
+xml-id: C10.S1.XMD6.m1cdec
@@ Property / Symbols used @@
+Q11427
@@ Property / Symbols used: Q11427 / rank @@
+Normal rank
@@ Property / Symbols used: Q11427 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\nu}}$ 
\nu
@@ Property / Symbols used: Q11427 / qualifier @@
+xml-id: C10.S1.XMD7.m1bdec

DLMF:10.13.E4 (Q3129): Difference between revisions

${\displaystyle{\displaystyle w=z^{\pm\nu}\mathscr{C}_{\nu}\left(\lambda z% \right)}}$

${\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle z}}$

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

Latest revision as of 15:21, 2 January 2020

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DLMF:10.13.E4 (Q3129): Difference between revisions

w = z ± ν ⁢ 𝒞 ν ⁡ ( λ ⁢ z ) 𝑤 superscript 𝑧 plus-or-minus 𝜈 cylinder-function 𝜈 𝜆 𝑧 {\displaystyle{\displaystyle w=z^{\pm\nu}\mathscr{C}_{\nu}\left(\lambda z% \right)}}

𝒞 ν ⁡ ( z ) cylinder-function 𝜈 𝑧 {\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}

z 𝑧 {\displaystyle{\displaystyle z}}

ν 𝜈 {\displaystyle{\displaystyle\nu}}

Latest revision as of 15:21, 2 January 2020

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${\displaystyle{\displaystyle w=z^{\pm\nu}\mathscr{C}_{\nu}\left(\lambda z% \right)}}$

${\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle z}}$

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