DLMF:4.6.E4 (Q1573): Difference between revisions

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Revision as of 16:59, 30 December 2019 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 18:08, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / Symbols used
			principal branch of logarithm function
		Property / Symbols used: principal branch of logarithm function / rank
			Normal rank
		Property / Symbols used: principal branch of logarithm function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\ln\NVar{z}}}$ \ln@@{\NVar{z}}
		Property / Symbols used: principal branch of logarithm function / qualifier
			xml-id: C4.S2.E2.m2acdec
		Property / Symbols used
			Q10811
		Property / Symbols used: Q10811 / rank
			Normal rank
		Property / Symbols used: Q10811 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\Re}}$ \realpart@@
		Property / Symbols used: Q10811 / qualifier
			xml-id: C1.S9.E2.m1aadec
		Property / Symbols used
			Q11217
		Property / Symbols used: Q11217 / rank
			Normal rank
		Property / Symbols used: Q11217 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11217 / qualifier
			xml-id: C4.S1.XMD8.m1cdec

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Latest revision as of 18:08, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:4.6.E4	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\ln z=2\left(\left(\frac{z-1}{z+1}\right)+\frac{1}{3}\left(\frac{z-1}{z+1}\right)^{3}+\frac{1}{5}\left(\frac{z-1}{z+1}\right)^{5}+\cdots\right),}}$

0 references

DLMF id

DLMF:4.6.E4

0 references

constraint

${\displaystyle{\displaystyle\Re z\geq 0}}$

0 references

${\displaystyle{\displaystyle\Re z\geq 0}}$

0 references

${\displaystyle{\displaystyle z\neq 0}}$

0 references

Symbols used

principal branch of logarithm function

Defining formula

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

xml-id

C4.S2.E2.m2acdec

0 references

Q10811

Defining formula

${\displaystyle{\displaystyle\Re}}$

xml-id

C1.S9.E2.m1aadec

0 references

Q11217

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C4.S1.XMD8.m1cdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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