DLMF:2.8.E29 (Q964): Difference between revisions

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Revision as of 17:29, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 17:29, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / Symbols used
			Q11088
		Property / Symbols used: Q11088 / rank
			Normal rank
		Property / Symbols used: Q11088 / qualifier
			Defining formula: ${\displaystyle{\displaystyle A_{s}(\xi)}}$ A_{s}(\xi)
		Property / Symbols used: Q11088 / qualifier
			xml-id: C2.S8.XMD23.m1ddec
		Property / Symbols used
			Q11089
		Property / Symbols used: Q11089 / rank
			Normal rank
		Property / Symbols used: Q11089 / qualifier
			Defining formula: ${\displaystyle{\displaystyle B_{s}(\xi)}}$ B_{s}(\xi)
		Property / Symbols used: Q11089 / qualifier
			xml-id: C2.S8.XMD24.m1ddec
		Property / Symbols used
			Q11069
		Property / Symbols used: Q11069 / rank
			Normal rank
		Property / Symbols used: Q11069 / qualifier
			Defining formula: ${\displaystyle{\displaystyle u}}$ u
		Property / Symbols used: Q11069 / qualifier
			xml-id: C2.S8.XMD4.m1odec

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Latest revision as of 17:29, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:2.8.E29	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle W_{n,3}(u,\xi)=|\xi|^{1/2}J_{\nu}\left(u|\xi|^{1/2}\right)\left(\sum_{s=0}^{n-1}\frac{A_{s}(\xi)}{u^{2s}}+O\left(\frac{1}{u^{2n-1}}\right)\right)-|\xi|J_{\nu+1}\left(u|\xi|^{1/2}\right)\left(\sum_{s=0}^{n-2}\frac{B_{s}(\xi)}{u^{2s+1}}+O\left(\frac{1}{u^{2n-2}}\right)\right),}}$

0 references

DLMF id

DLMF:2.8.E29

0 references

Symbols used

Bessel function of the first kind

Defining formula

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

xml-id

C10.S2.E2.m2adec

0 references

order not exceeding

Defining formula

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

xml-id

C2.S1.E3.m2ahdec

0 references

Q11085

Defining formula

${\displaystyle{\displaystyle W_{n,j}(u,\xi)}}$

xml-id

C2.S8.XMD20.m1cdec

0 references

Q11086

Defining formula

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

xml-id

C2.S8.XMD21.m1edec

0 references

Q11087

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C2.S8.XMD22.m1bdec

0 references

Q11088

Defining formula

${\displaystyle{\displaystyle A_{s}(\xi)}}$

xml-id

C2.S8.XMD23.m1ddec

0 references

Q11089

Defining formula

${\displaystyle{\displaystyle B_{s}(\xi)}}$

xml-id

C2.S8.XMD24.m1ddec

0 references

Q11069

Defining formula

${\displaystyle{\displaystyle u}}$

xml-id

C2.S8.XMD4.m1odec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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