DLMF:13.20.E5 (Q4594): Difference between revisions

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Revision as of 15:14, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:15, 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
			Whittaker confluent hypergeometric function
		Property / Symbols used: Whittaker confluent hypergeometric function / rank
			Normal rank
		Property / Symbols used: Whittaker confluent hypergeometric function / qualifier
			Defining formula: ${\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$ \WhittakerconfhyperW{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}
		Property / Symbols used: Whittaker confluent hypergeometric function / qualifier
			xml-id: C13.S14.E3.m2aadec
		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
			Defining formula: ${\displaystyle{\displaystyle\mathrm{e}}}$ \expe
		Property / Symbols used: base of natural logarithm / qualifier
			xml-id: C4.S2.E11.m2aadec
		Property / Symbols used
			Q11566
		Property / Symbols used: Q11566 / rank
			Normal rank
		Property / Symbols used: Q11566 / qualifier
			Defining formula: ${\displaystyle{\displaystyle x}}$ x
		Property / Symbols used: Q11566 / qualifier
			xml-id: C13.S1.XMD4.m1cdec
		Property / Symbols used
			DLMF:13.20.E3
		Property / Symbols used: DLMF:13.20.E3 / rank
			Normal rank
		Property / Symbols used: DLMF:13.20.E3 / qualifier
			Defining formula: ${\displaystyle{\displaystyle X}}$ X
		Property / Symbols used: DLMF:13.20.E3 / qualifier
			xml-id: C13.S20.XMD1.m1bdec
		Property / Symbols used
			DLMF:13.20.E3
		Property / Symbols used: DLMF:13.20.E3 / rank
			Normal rank
		Property / Symbols used: DLMF:13.20.E3 / qualifier
			Defining formula: ${\displaystyle{\displaystyle X}}$ X
		Property / Symbols used: DLMF:13.20.E3 / qualifier
			xml-id: C13.S20.XMD1.m1bdec

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Latest revision as of 15:15, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:13.20.E5	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle W_{\kappa,\mu}\left(x\right)=\sqrt{\frac{x}{X}}\*\left(\frac{2\mu^{2}-\kappa x+\mu X}{(\mu-\kappa)x}\right)^{\mu}\*\left(\frac{X+x-2\kappa}{2}\right)^{\kappa}\*e^{-\frac{1}{2}X-\kappa}\*\left(1+O\left(\frac{1}{\mu}\right)\right),}}$

0 references

DLMF id

DLMF:13.20.E5

0 references

Symbols used

order not exceeding

Defining formula

${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$

xml-id

C2.S1.E3.m2acdec

0 references

Whittaker confluent hypergeometric function

Defining formula

${\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$

xml-id

C13.S14.E3.m2aadec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2aadec

0 references

Q11566

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C13.S1.XMD4.m1cdec

0 references

DLMF:13.20.E3

Defining formula

${\displaystyle{\displaystyle X}}$

xml-id

C13.S20.XMD1.m1bdec

0 references

DLMF:13.20.E3

Defining formula

${\displaystyle{\displaystyle X}}$

xml-id

C13.S20.XMD1.m1bdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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