DLMF:4.37.E16 (Q1935): Difference between revisions

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Revision as of 19:15, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 19:15, 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
			Q10777
		Property / Symbols used: Q10777 / rank
			Normal rank
		Property / Symbols used: Q10777 / qualifier
			Defining formula: ${\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}$ (\NVar{a},\NVar{b})
		Property / Symbols used: Q10777 / qualifier
			xml-id: introduction.Sx4.p1.t1.r29.m6adec
		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.m2adec
		Property / Symbols used
			Q10824
		Property / Symbols used: Q10824 / rank
			Normal rank
		Property / Symbols used: Q10824 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\cup}}$ \cup
		Property / Symbols used: Q10824 / qualifier
			xml-id: introduction.Sx4.p1.t1.r28.m2adec
		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.m1pdec

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Latest revision as of 19:15, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:4.37.E16	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\operatorname{arcsinh}z=\ln\left((z^{2}+1)^{1/2}+z\right),}}$

0 references

DLMF id

DLMF:4.37.E16

0 references

constraint

${\displaystyle{\displaystyle z/i\in\mathbb{C}\setminus(-\infty,-1)\cup(1,\infty)}}$

0 references

Symbols used

Q10923

Defining formula

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

xml-id

introduction.Sx4.p1.t1.r1.m2adec

0 references

Q10784

Defining formula

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

xml-id

introduction.Sx4.p1.t1.r10.m2adec

0 references

Q11247

Defining formula

${\displaystyle{\displaystyle\operatorname{arcsinh}\NVar{z}}}$

xml-id

C4.S37.SS2.p1.m8acdec

0 references

imaginary unit

Defining formula

${\displaystyle{\displaystyle\mathrm{i}}}$

xml-id

C1.S9.E1.m2abdec

0 references

principal branch of logarithm function

Defining formula

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

xml-id

C4.S2.E2.m2adec

0 references

Q10777

Defining formula

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

xml-id

introduction.Sx4.p1.t1.r29.m6adec

0 references

Q10785

Defining formula

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

xml-id

introduction.Sx4.p2.t1.r19.m2adec

0 references

Q10824

Defining formula

${\displaystyle{\displaystyle\cup}}$

xml-id

introduction.Sx4.p1.t1.r28.m2adec

0 references

Q11217

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C4.S1.XMD8.m1pdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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