DLMF:10.68.E8 (Q3874): Difference between revisions

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Revision as of 14:29, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:29, 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
			Q11435
		Property / Symbols used: Q11435 / rank
			Normal rank
		Property / Symbols used: Q11435 / qualifier
			Defining formula: ${\displaystyle{\displaystyle x}}$ x
		Property / Symbols used: Q11435 / qualifier
			xml-id: C10.S1.XMD4.m1gdec
		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.m1fdec

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Latest revision as of 14:29, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:10.68.E8	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\operatorname{ber}_{\nu}'x=\tfrac{1}{2}M_{\nu+1}\cos\left(\theta_{\nu+1}-\tfrac{1}{4}\pi\right)-\tfrac{1}{2}M_{\nu-1}\cos\left(\theta_{\nu-1}-\tfrac{1}{4}\pi\right)=(\nu/x)M_{\nu}\cos\theta_{\nu}+M_{\nu+1}\cos\left(\theta_{\nu+1}-\tfrac{1}{4}\pi\right)=-(\nu/x)M_{\nu}\cos\theta_{\nu}-M_{\nu-1}\cos\left(\theta_{\nu-1}-\tfrac{1}{4}\pi\right),}}$

0 references

DLMF id

DLMF:10.68.E8

0 references

Symbols used

Kelvin function

Defining formula

${\displaystyle{\displaystyle\operatorname{ber}_{\NVar{\nu}}\left(\NVar{x}\right)}}$

xml-id

C10.S61.E1.m2addec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2aadec

0 references

cosine function

Defining formula

${\displaystyle{\displaystyle\cos\NVar{z}}}$

xml-id

C4.S14.E2.m2abdec

0 references

modulus of Bessel functions

Defining formula

${\displaystyle{\displaystyle M_{\NVar{\nu}}\left(\NVar{x}\right)}}$

xml-id

C10.S18.E1.m2addec

0 references

Q11444

Defining formula

${\displaystyle{\displaystyle\theta_{\NVar{\nu}}\left(\NVar{x}\right)}}$

xml-id

C10.S18.E3.m1addec

0 references

Q11435

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C10.S1.XMD4.m1gdec

0 references

Q11427

Defining formula

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

xml-id

C10.S1.XMD7.m1fdec

0 references

 

Sitelinks

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DRMF related sites(0 entries)

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