DLMF:2.3.E15 (Q732): Difference between revisions

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Revision as of 16:52, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 16:52, 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
			Q10956
		Property / Symbols used: Q10956 / rank
			Normal rank
		Property / Symbols used: Q10956 / qualifier
			Defining formula: ${\displaystyle{\displaystyle a}}$ a
		Property / Symbols used: Q10956 / qualifier
			xml-id: C2.S3.XMD15.m1bdec
		Property / Symbols used
			Q10957
		Property / Symbols used: Q10957 / rank
			Normal rank
		Property / Symbols used: Q10957 / qualifier
			Defining formula: ${\displaystyle{\displaystyle b}}$ b
		Property / Symbols used: Q10957 / qualifier
			xml-id: C2.S3.XMD16.m1adec
		Property / Symbols used
			Q10958
		Property / Symbols used: Q10958 / rank
			Normal rank
		Property / Symbols used: Q10958 / qualifier
			Defining formula: ${\displaystyle{\displaystyle p(t)}}$ p(t)
		Property / Symbols used: Q10958 / qualifier
			xml-id: C2.S3.XMD17.m1bdec
		Property / Symbols used
			Q10959
		Property / Symbols used: Q10959 / rank
			Normal rank
		Property / Symbols used: Q10959 / qualifier
			Defining formula: ${\displaystyle{\displaystyle q(t)}}$ q(t)
		Property / Symbols used: Q10959 / qualifier
			xml-id: C2.S3.XMD19.m1bdec
		Property / Symbols used
			Q10950
		Property / Symbols used: Q10950 / rank
			Normal rank
		Property / Symbols used: Q10950 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\lambda}}$ \lambda
		Property / Symbols used: Q10950 / qualifier
			xml-id: C2.S3.XMD8.m1edec
		Property / Symbols used
			Q10951
		Property / Symbols used: Q10951 / rank
			Normal rank
		Property / Symbols used: Q10951 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mu}}$ \mu
		Property / Symbols used: Q10951 / qualifier
			xml-id: C2.S3.XMD9.m1edec

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Latest revision as of 16:52, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:2.3.E15	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\int_{a}^{b}e^{-xp(t)}q(t)\mathrm{d}t\sim e^{-xp(a)}\sum_{s=0}^{\infty}\Gamma\left(\frac{s+\lambda}{\mu}\right)\frac{b_{s}}{x^{(s+\lambda)/\mu}},}}$

0 references

DLMF id

DLMF:2.3.E15

0 references

constraint

${\displaystyle{\displaystyle x\to+\infty}}$

0 references

Symbols used

gamma function

Defining formula

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

xml-id

C5.S2.E1.m2abdec

0 references

Q10931

Defining formula

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

xml-id

C2.S1.SS3.p1.m11ahdec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1aidec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2agdec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3aidec

0 references

Q10956

Defining formula

${\displaystyle{\displaystyle a}}$

xml-id

C2.S3.XMD15.m1bdec

0 references

Q10957

Defining formula

${\displaystyle{\displaystyle b}}$

xml-id

C2.S3.XMD16.m1adec

0 references

Q10958

Defining formula

${\displaystyle{\displaystyle p(t)}}$

xml-id

C2.S3.XMD17.m1bdec

0 references

Q10959

Defining formula

${\displaystyle{\displaystyle q(t)}}$

xml-id

C2.S3.XMD19.m1bdec

0 references

Q10950

Defining formula

${\displaystyle{\displaystyle\lambda}}$

xml-id

C2.S3.XMD8.m1edec

0 references

Q10951

Defining formula

${\displaystyle{\displaystyle\mu}}$

xml-id

C2.S3.XMD9.m1edec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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