Difference between revisions of "DLMF:5.9.E16 (Q2105)"

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Revision as of 17:38, 1 January 2020 Admin (talk | contribs) (‎Changed an Item: Add constraint) ← Older edit		Latest revision as of 17:38, 1 January 2020 Admin (talk | contribs) (‎Changed an Item: Add constraint)
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		Property / Symbols used
		+	Q10770
		Property / Symbols used: Q10770 / rank
		+	Normal rank
		Property / Symbols used: Q10770 / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$ \diff{\NVar{x}}
		Property / Symbols used: Q10770 / qualifier
		+	xml-id: C1.S4.SS4.m1aodec
		Property / Symbols used
		+	psi (or digamma) function
		Property / Symbols used: psi (or digamma) function / rank
		+	Normal rank
		Property / Symbols used: psi (or digamma) function / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}$ \digamma@{\NVar{z}}
		Property / Symbols used: psi (or digamma) function / qualifier
		+	xml-id: C5.S2.E2.m2addec
		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.m2aidec
		Property / Symbols used
		+	Q10771
		Property / Symbols used: Q10771 / rank
		+	Normal rank
		Property / Symbols used: Q10771 / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle\int}}$ \int
		Property / Symbols used: Q10771 / qualifier
		+	xml-id: C1.S4.SS4.m3aodec
		Property / Symbols used
		+	Q11273
		Property / Symbols used: Q11273 / rank
		+	Normal rank
		Property / Symbols used: Q11273 / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11273 / qualifier
		+	xml-id: C5.S1.XMD7.m1mdec

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Latest revision as of 17:38, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:5.9.E16	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\psi\left(z\right)+\gamma=\int_{0}^{\infty}\frac{e^{-t}-e^{-zt}}{1-e^{-t}}\mathrm{d}t=\int_{0}^{1}\frac{1-t^{z-1}}{1-t}\mathrm{d}t.}}$

0 references

DLMF id

DLMF:5.9.E16

0 references

Symbols used

Euler’s constant

Defining formula

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

xml-id

C5.S2.E3.m2aadec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1aodec

0 references

psi (or digamma) function

Defining formula

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

xml-id

C5.S2.E2.m2addec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2aidec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3aodec

0 references

Q11273

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C5.S1.XMD7.m1mdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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