DLMF:9.6.E21 (Q2801): Difference between revisions

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Revision as of 14:30, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:30, 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
			the ratio of the circumference of a circle to its diameter
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
			Normal rank
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
			Defining formula: ${\displaystyle{\displaystyle\pi}}$ \cpi
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
			xml-id: C3.S12.E1.m2andec
		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.m2aldec
		Property / Symbols used
			Q11381
		Property / Symbols used: Q11381 / rank
			Normal rank
		Property / Symbols used: Q11381 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11381 / qualifier
			xml-id: C9.S1.XMD3.m1tdec
		Property / Symbols used
			change of variable (locally)
		Property / Symbols used: change of variable (locally) / rank
			Normal rank
		Property / Symbols used: change of variable (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle\zeta}}$ \zeta
		Property / Symbols used: change of variable (locally) / qualifier
			xml-id: C9.S6.XMD1.m1idec

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Latest revision as of 14:30, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:9.6.E21	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathrm{Ai}\left(z\right)=\tfrac{1}{2}\pi^{-1/2}z^{-1/4}W_{0,1/3}\left(2\zeta\right)=3^{-1/6}\pi^{-1/2}\zeta^{2/3}e^{-\zeta}U\left(\tfrac{5}{6},\tfrac{5}{3},2\zeta\right),}}$

0 references

DLMF id

DLMF:9.6.E21

0 references

Symbols used

Q10919

Defining formula

${\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}$

xml-id

C9.S2.SS1.m1andec

0 references

Kummer confluent hypergeometric function

Defining formula

${\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}$

xml-id

C13.S2.E6.m2adec

0 references

Whittaker confluent hypergeometric function

Defining formula

${\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$

xml-id

C13.S14.E3.m2adec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2andec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2aldec

0 references

Q11381

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C9.S1.XMD3.m1tdec

0 references

change of variable (locally)

Defining formula

${\displaystyle{\displaystyle\zeta}}$

xml-id

C9.S6.XMD1.m1idec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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