DLMF:9.12.E30 (Q2958): Difference between revisions

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Revision as of 14:58, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:58, 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
			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.m1ydec
		Property / Symbols used
			Q11386
		Property / Symbols used: Q11386 / rank
			Normal rank
		Property / Symbols used: Q11386 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\delta}}$ \delta
		Property / Symbols used: Q11386 / qualifier
			xml-id: C9.S1.XMD4.m1edec

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Latest revision as of 14:58, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:9.12.E30	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\int_{0}^{z}\mathrm{Gi}\left(t\right)\mathrm{d}t\sim\frac{1}{\pi}\ln z+\frac{2\gamma+\ln 3}{3\pi}-\frac{1}{\pi}\sum_{k=1}^{\infty}\frac{(3k-1)!}{k!(3z^{3})^{k}},}}$

0 references

DLMF id

DLMF:9.12.E30

0 references

constraint

${\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{3}\pi-\delta}}$

0 references

Symbols used

Euler’s constant

Defining formula

${\displaystyle{\displaystyle\gamma}}$

xml-id

C5.S2.E3.m2adec

0 references

Scorer function (inhomogeneous Airy function)

Defining formula

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

xml-id

C9.S12.E4.m2apdec

0 references

Q10931

Defining formula

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

xml-id

C2.S1.SS3.p1.m11aedec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2awdec

0 references

Q10770

Defining formula

${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$

xml-id

C1.S4.SS4.m1ahdec

0 references

Q10755

Defining formula

${\displaystyle{\displaystyle!}}$

xml-id

introduction.Sx4.p1.t1.r15.m5aidec

0 references

Q10771

Defining formula

${\displaystyle{\displaystyle\int}}$

xml-id

C1.S4.SS4.m3agdec

0 references

principal branch of logarithm function

Defining formula

${\displaystyle{\displaystyle\ln\NVar{z}}}$

xml-id

C4.S2.E2.m2adec

0 references

Q10817

Defining formula

${\displaystyle{\displaystyle\operatorname{ph}}}$

xml-id

C1.S9.E7.m1aidec

0 references

Q11385

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C9.S1.XMD1.m1idec

0 references

Q11381

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C9.S1.XMD3.m1ydec

0 references

Q11386

Defining formula

${\displaystyle{\displaystyle\delta}}$

xml-id

C9.S1.XMD4.m1edec

0 references

 

Sitelinks

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