DLMF:11.9.E8 (Q4016): Difference between revisions

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Revision as of 14:52, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:53, 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
			Lommel function
		Property / Symbols used: Lommel function / rank
			Normal rank
		Property / Symbols used: Lommel function / qualifier
			Defining formula: ${\displaystyle{\displaystyle s_{{\NVar{\mu}},{\NVar{\nu}}}\left(\NVar{z}\right)}}$ \Lommels{\NVar{\mu}}{\NVar{\nu}}@{\NVar{z}}
		Property / Symbols used: Lommel function / qualifier
			xml-id: C11.S9.E3.m2aedec
		Property / Symbols used
			Q10755
		Property / Symbols used: Q10755 / rank
			Normal rank
		Property / Symbols used: Q10755 / qualifier
			Defining formula: ${\displaystyle{\displaystyle!}}$ !
		Property / Symbols used: Q10755 / qualifier
			xml-id: introduction.Sx4.p1.t1.r15.m5aadec
		Property / Symbols used
			Q11491
		Property / Symbols used: Q11491 / rank
			Normal rank
		Property / Symbols used: Q11491 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11491 / qualifier
			xml-id: C11.S1.XMD2.m1fdec
		Property / Symbols used
			Q11492
		Property / Symbols used: Q11492 / rank
			Normal rank
		Property / Symbols used: Q11492 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\nu}}$ \nu
		Property / Symbols used: Q11492 / qualifier
			xml-id: C11.S1.XMD3.m1gdec
		Property / Symbols used
			Q11497
		Property / Symbols used: Q11497 / rank
			Normal rank
		Property / Symbols used: Q11497 / qualifier
			Defining formula: ${\displaystyle{\displaystyle k}}$ k
		Property / Symbols used: Q11497 / qualifier
			xml-id: C11.S1.XMD5.m1cdec

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Latest revision as of 14:53, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:11.9.E8	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle s_{{\mu},{\nu}}\left(z\right)=2^{(\mu+\nu-1)/2}\Gamma\left(\tfrac{1}{2}\mu+\tfrac{1}{2}\nu+\tfrac{1}{2}\right)z^{(\mu+1-\nu)/2}\*\sum_{k=0}^{\infty}\frac{(\tfrac{1}{2}z)^{k}}{k!(2k+\mu-\nu+1)}J_{k+\frac{1}{2}(\mu+\nu+1)}\left(z\right).}}$

0 references

DLMF id

DLMF:11.9.E8

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.m2acdec

0 references

gamma function

Defining formula

${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$

xml-id

C5.S2.E1.m2abdec

0 references

Lommel function

Defining formula

${\displaystyle{\displaystyle s_{{\NVar{\mu}},{\NVar{\nu}}}\left(\NVar{z}\right)}}$

xml-id

C11.S9.E3.m2aedec

0 references

Q10755

Defining formula

${\displaystyle{\displaystyle!}}$

xml-id

introduction.Sx4.p1.t1.r15.m5aadec

0 references

Q11491

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C11.S1.XMD2.m1fdec

0 references

Q11492

Defining formula

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

xml-id

C11.S1.XMD3.m1gdec

0 references

Q11497

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C11.S1.XMD5.m1cdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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