DLMF:10.40.E10 (Q3588): Difference between revisions

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Revision as of 13:54, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 13:54, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		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.m1hdec
		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.m1idec
		Property / Symbols used
			expansion (locally)
		Property / Symbols used: expansion (locally) / rank
			Normal rank
		Property / Symbols used: expansion (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle a_{k}(\nu)}}$ a_{k}(\nu)
		Property / Symbols used: expansion (locally) / qualifier
			xml-id: C10.S17.XMD1.m1cdec
		Property / Symbols used
			remainder (locally)
		Property / Symbols used: remainder (locally) / rank
			Normal rank
		Property / Symbols used: remainder (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle R_{\ell}(\nu,z)}}$ R_{\ell}(\nu,z)
		Property / Symbols used: remainder (locally) / qualifier
			xml-id: C10.S40.XMD1.m1dec

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Latest revision as of 13:54, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:10.40.E10	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle K_{\nu}\left(z\right)=\left(\frac{\pi}{2z}\right)^{\frac{1}{2}}e^{-z}\left(\sum_{k=0}^{\ell-1}\frac{a_{k}(\nu)}{z^{k}}+R_{\ell}(\nu,z)\right),}}$

0 references

DLMF id

DLMF:10.40.E10

0 references

constraint

${\displaystyle{\displaystyle\ell=1,2,\ldots}}$

0 references

Symbols used

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2afdec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2afdec

0 references

modified Bessel function of the second kind

Defining formula

${\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}$

xml-id

C10.S25.E3.m2aedec

0 references

Q11428

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C10.S1.XMD3.m1gdec

0 references

Q11426

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C10.S1.XMD6.m1hdec

0 references

Q11427

Defining formula

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

xml-id

C10.S1.XMD7.m1idec

0 references

expansion (locally)

Defining formula

${\displaystyle{\displaystyle a_{k}(\nu)}}$

xml-id

C10.S17.XMD1.m1cdec

0 references

remainder (locally)

Defining formula

${\displaystyle{\displaystyle R_{\ell}(\nu,z)}}$

xml-id

C10.S40.XMD1.m1dec

0 references

 

Sitelinks

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