DLMF:2.5.E48 (Q824): Difference between revisions

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Revision as of 17:09, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 17:09, 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
			Q10931
		Property / Symbols used: Q10931 / rank
			Normal rank
		Property / Symbols used: Q10931 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\sim}}$ \asympexp
		Property / Symbols used: Q10931 / qualifier
			xml-id: C2.S1.SS3.p1.m11acdec
		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.m2abdec
		Property / Symbols used
			Q10755
		Property / Symbols used: Q10755 / rank
			Normal rank
		Property / Symbols used: Q10755 / qualifier
			Defining formula: ${\displaystyle{\displaystyle!}}$ !
		Property / Symbols used: Q10755 / qualifier
			xml-id: introduction.Sx4.p1.t1.r15.m5abdec
		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.m2afdec
		Property / Symbols used
			Q11005
		Property / Symbols used: Q11005 / rank
			Normal rank
		Property / Symbols used: Q11005 / qualifier
			Defining formula: ${\displaystyle{\displaystyle h(x)}}$ h(x)
		Property / Symbols used: Q11005 / qualifier
			xml-id: C2.S5.XMD16.m1sdec

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Latest revision as of 17:09, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:2.5.E48	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathscr{L}\mskip-3.0mu h\mskip 3.0mu \left(\zeta\right)\sim(-\ln\zeta)\sum_{k=0}^{\infty}\frac{\zeta^{k}}{k!}+\sum_{k=0}^{\infty}\psi\left(k+1\right)\frac{\zeta^{k}}{k!},}}$

0 references

DLMF id

DLMF:2.5.E48

0 references

constraint

${\displaystyle{\displaystyle\zeta\to 0+}}$

0 references

Symbols used

Laplace transform

Defining formula

${\displaystyle{\displaystyle\mathscr{L}\left(\NVar{f}\right)\left(\NVar{s}\right)}}$

xml-id

C1.S14.E17.m2aedec

0 references

Q10931

Defining formula

${\displaystyle{\displaystyle\sim}}$

xml-id

C2.S1.SS3.p1.m11acdec

0 references

psi (or digamma) function

Defining formula

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

xml-id

C5.S2.E2.m2abdec

0 references

Q10755

Defining formula

${\displaystyle{\displaystyle!}}$

xml-id

introduction.Sx4.p1.t1.r15.m5abdec

0 references

principal branch of logarithm function

Defining formula

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

xml-id

C4.S2.E2.m2afdec

0 references

Q11005

Defining formula

${\displaystyle{\displaystyle h(x)}}$

xml-id

C2.S5.XMD16.m1sdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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