DLMF:2.5.E40 (Q816): Difference between revisions

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Revision as of 17:06, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 17:07, 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
			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.m1akdec
		Property / Symbols used
			imaginary unit
		Property / Symbols used: imaginary unit / rank
			Normal rank
		Property / Symbols used: imaginary unit / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{i}}}$ \iunit
		Property / Symbols used: imaginary unit / qualifier
			xml-id: C1.S9.E1.m2ahdec
		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.m3akdec
		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.m1ldec
		Property / Symbols used
			Q11014
		Property / Symbols used: Q11014 / rank
			Normal rank
		Property / Symbols used: Q11014 / qualifier
			Defining formula: ${\displaystyle{\displaystyle I_{j}(x)}}$ I_{j}(x)
		Property / Symbols used: Q11014 / qualifier
			xml-id: C2.S5.XMD25.m1bdec
		Property / Symbols used
			Q11015
		Property / Symbols used: Q11015 / rank
			Normal rank
		Property / Symbols used: Q11015 / qualifier
			Defining formula: ${\displaystyle{\displaystyle p_{j}}}$ p_{j}
		Property / Symbols used: Q11015 / qualifier
			xml-id: C2.S5.XMD26.m1dec

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Latest revision as of 17:07, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:2.5.E40	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle I_{j}(x)=\frac{1}{2\pi i}\int_{p_{j}-i\infty}^{p_{j}+i\infty}x^{-z}\Gamma\left(1-z\right)\mathscr{M}\mskip-3.0mu h_{j}\mskip 3.0mu \left(z\right)\mathrm{d}z,}}$

0 references

DLMF id

DLMF:2.5.E40

0 references

constraint

${\displaystyle{\displaystyle j=1,2}}$

0 references

Symbols used

gamma function

Defining formula

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

xml-id

C5.S2.E1.m2acdec

0 references

Mellin transform

Defining formula

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

xml-id

C1.S14.E32.m2andec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

${\displaystyle{\displaystyle\pi}}$

xml-id

C3.S12.E1.m2ahdec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1akdec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2ahdec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3akdec

0 references

Q11005

Defining formula

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

xml-id

C2.S5.XMD16.m1ldec

0 references

Q11014

Defining formula

${\displaystyle{\displaystyle I_{j}(x)}}$

xml-id

C2.S5.XMD25.m1bdec

0 references

Q11015

Defining formula

${\displaystyle{\displaystyle p_{j}}}$

xml-id

C2.S5.XMD26.m1dec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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