DLMF:10.69.E5 (Q3896): Difference between revisions

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Revision as of 14:32, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:32, 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
			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.m2acdec
		Property / Symbols used
			imaginary unit
		Property / Symbols used: imaginary unit / rank
			Normal rank
		Property / Symbols used: imaginary unit / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{i}}}$ \iunit
		Property / Symbols used: imaginary unit / qualifier
			xml-id: C1.S9.E1.m2addec
		Property / Symbols used
			Q11428
		Property / Symbols used: Q11428 / rank
			Normal rank
		Property / Symbols used: Q11428 / qualifier
			Defining formula: ${\displaystyle{\displaystyle k}}$ k
		Property / Symbols used: Q11428 / qualifier
			xml-id: C10.S1.XMD3.m1cdec
		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.m1ddec
		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.m1cdec
		Property / Symbols used
			Q11455
		Property / Symbols used: Q11455 / rank
			Normal rank
		Property / Symbols used: Q11455 / qualifier
			Defining formula: ${\displaystyle{\displaystyle V_{k}(p)}}$ V_{k}(p)
		Property / Symbols used: Q11455 / qualifier
			xml-id: C10.S41.XMD4.m1adec
		Property / Symbols used
			DLMF:10.69.E1
		Property / Symbols used: DLMF:10.69.E1 / rank
			Normal rank
		Property / Symbols used: DLMF:10.69.E1 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\xi}}$ \xi
		Property / Symbols used: DLMF:10.69.E1 / qualifier
			xml-id: C10.S69.XMD1.m1ddec

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Latest revision as of 14:32, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:10.69.E5	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\operatorname{ker}_{\nu}'\left(\nu x\right)+i\operatorname{kei}_{\nu}'\left(\nu x\right)\sim-\frac{e^{-\nu\xi}}{x}\left(\frac{\pi\xi}{2\nu}\right)^{\ifrac{1}{2}}\left(\frac{xe^{3\pi i/4}}{1+\xi}\right)^{-\nu}\*\sum_{k=0}^{\infty}(-1)^{k}\frac{V_{k}(\xi^{-1})}{\nu^{k}},}}$

0 references

DLMF id

DLMF:10.69.E5

0 references

Symbols used

Kelvin function

Defining formula

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

xml-id

C10.S61.E2.m3aadec

0 references

Kelvin function

Defining formula

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

xml-id

C10.S61.E2.m2aadec

0 references

Q10931

Defining formula

${\displaystyle{\displaystyle\sim}}$

xml-id

C2.S1.SS3.p1.m11acdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2acdec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2acdec

0 references

imaginary unit

Defining formula

${\displaystyle{\displaystyle\mathrm{i}}}$

xml-id

C1.S9.E1.m2addec

0 references

Q11428

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C10.S1.XMD3.m1cdec

0 references

Q11435

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C10.S1.XMD4.m1ddec

0 references

Q11427

Defining formula

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

xml-id

C10.S1.XMD7.m1cdec

0 references

Q11455

Defining formula

${\displaystyle{\displaystyle V_{k}(p)}}$

xml-id

C10.S41.XMD4.m1adec

0 references

DLMF:10.69.E1

Defining formula

${\displaystyle{\displaystyle\xi}}$

xml-id

C10.S69.XMD1.m1ddec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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