DLMF:25.12.E4 (Q7723): Difference between revisions

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		Property / Symbols used
			Q10785
		Property / Symbols used: Q10785 / rank
			Normal rank
		Property / Symbols used: Q10785 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\setminus}}$ \setminus
		Property / Symbols used: Q10785 / qualifier
			xml-id: introduction.Sx4.p2.t1.r19.m2abdec
		Property / Symbols used
			Q12156
		Property / Symbols used: Q12156 / rank
			Normal rank
		Property / Symbols used: Q12156 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q12156 / qualifier
			xml-id: C25.S1.XMD8.m1cdec

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Latest revision as of 13:48, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:25.12.E4	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathrm{Li}_{2}\left(z\right)+\mathrm{Li}_{2}\left(\frac{1}{z}\right)=-\frac{1}{6}\pi^{2}-\frac{1}{2}(\ln\left(-z\right))^{2},}}$

0 references

DLMF id

DLMF:25.12.E4

0 references

constraint

${\displaystyle{\displaystyle z\in\mathbb{C}\setminus[0,\infty)}}$

0 references

Symbols used

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2adec

0 references

Q11243

Defining formula

${\displaystyle{\displaystyle[\NVar{a},\NVar{b})}}$

xml-id

introduction.Sx4.p2.t1.r1.m4aadec

0 references

Q10923

Defining formula

${\displaystyle{\displaystyle\mathbb{C}}}$

xml-id

introduction.Sx4.p1.t1.r1.m2abdec

0 references

dilogarithm

Defining formula

${\displaystyle{\displaystyle\mathrm{Li}_{2}\left(\NVar{z}\right)}}$

xml-id

C25.S12.E1.m2acdec

0 references

Q10784

Defining formula

${\displaystyle{\displaystyle\in}}$

xml-id

introduction.Sx4.p1.t1.r10.m2abdec

0 references

principal branch of logarithm function

Defining formula

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

xml-id

C4.S2.E2.m2abdec

0 references

Q10785

Defining formula

${\displaystyle{\displaystyle\setminus}}$

xml-id

introduction.Sx4.p2.t1.r19.m2abdec

0 references

Q12156

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C25.S1.XMD8.m1cdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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