DLMF:12.10.E16 (Q4174): Difference between revisions

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Revision as of 15:18, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:18, 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.m2aedec
		Property / Symbols used
			Q11513
		Property / Symbols used: Q11513 / rank
			Normal rank
		Property / Symbols used: Q11513 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11513 / qualifier
			xml-id: C12.S1.XMD3.m1dec
		Property / Symbols used
			Q11526
		Property / Symbols used: Q11526 / rank
			Normal rank
		Property / Symbols used: Q11526 / qualifier
			Defining formula: ${\displaystyle{\displaystyle s}}$ s
		Property / Symbols used: Q11526 / qualifier
			xml-id: C12.S1.XMD5.m1kdec

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Latest revision as of 15:18, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:12.10.E16	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\Gamma\left(\tfrac{1}{2}+z\right)\sim\sqrt{2\pi}e^{-z}z^{z}\sum_{s=0}^{\infty}\frac{\gamma_{s}}{z^{s}};}}$

0 references

DLMF id

DLMF:12.10.E16

0 references

Symbols defined

coefficients (locally)

0 references

Symbols used

gamma function

Defining formula

${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$

xml-id

C5.S2.E1.m2abdec

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.m2adec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2aedec

0 references

Q11513

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C12.S1.XMD3.m1dec

0 references

Q11526

Defining formula

${\displaystyle{\displaystyle s}}$

xml-id

C12.S1.XMD5.m1kdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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