DLMF:10.67.E14 (Q3859): Difference between revisions

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Revision as of 14:28, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:28, 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.m2amdec
		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.m1mdec

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Latest revision as of 14:28, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:10.67.E14	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\operatorname{ker}x\operatorname{kei}'x-\operatorname{ker}'x\operatorname{kei}x\sim-\frac{\pi}{2x}e^{-x\sqrt{2}}\left(\frac{1}{\sqrt{2}}-\frac{1}{8}\frac{1}{x}+\frac{9}{64\sqrt{2}}\frac{1}{x^{2}}-\frac{39}{512}\frac{1}{x^{3}}+\frac{75}{8192\sqrt{2}}\frac{1}{x^{4}}+\cdots\right),}}$

0 references

DLMF id

DLMF:10.67.E14

0 references

Symbols used

Kelvin function

Defining formula

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

xml-id

C10.S61.E2.m3agdec

0 references

Kelvin function

Defining formula

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

xml-id

C10.S61.E2.m2agdec

0 references

Q10931

Defining formula

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

xml-id

C2.S1.SS3.p1.m11amdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2amdec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2amdec

0 references

Q11435

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C10.S1.XMD4.m1mdec

0 references

 

Sitelinks

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