DLMF:28.28.E7 (Q8431): Difference between revisions

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Revision as of 15:18, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:18, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		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.m3addec
		Property / Symbols used
			Q12301
		Property / Symbols used: Q12301 / rank
			Normal rank
		Property / Symbols used: Q12301 / qualifier
			Defining formula: ${\displaystyle{\displaystyle{\mathrm{M}^{(\NVar{j})}_{\NVar{\nu}}}\left(\NVar{z},\NVar{h}\right)}}$ \modMathieuM{\NVar{j}}{\NVar{\nu}}@{\NVar{z}}{\NVar{h}}
		Property / Symbols used: Q12301 / qualifier
			xml-id: C28.S20.SS3.p1.m4adec
		Property / Symbols used
			Q12294
		Property / Symbols used: Q12294 / rank
			Normal rank
		Property / Symbols used: Q12294 / qualifier
			Defining formula: ${\displaystyle{\displaystyle h}}$ h
		Property / Symbols used: Q12294 / qualifier
			xml-id: C28.S1.XMD11.m1ddec
		Property / Symbols used
			Q12291
		Property / Symbols used: Q12291 / rank
			Normal rank
		Property / Symbols used: Q12291 / qualifier
			Defining formula: ${\displaystyle{\displaystyle j}}$ j
		Property / Symbols used: Q12291 / qualifier
			xml-id: C28.S1.XMD3.m1adec
		Property / Symbols used
			Q12272
		Property / Symbols used: Q12272 / rank
			Normal rank
		Property / Symbols used: Q12272 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q12272 / qualifier
			xml-id: C28.S1.XMD6.m1edec
		Property / Symbols used
			Q12278
		Property / Symbols used: Q12278 / rank
			Normal rank
		Property / Symbols used: Q12278 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\nu}}$ \nu
		Property / Symbols used: Q12278 / qualifier
			xml-id: C28.S1.XMD7.m1dec
		Property / Symbols used
			Q12274
		Property / Symbols used: Q12274 / rank
			Normal rank
		Property / Symbols used: Q12274 / qualifier
			Defining formula: ${\displaystyle{\displaystyle w(z)}}$ w(z)
		Property / Symbols used: Q12274 / qualifier
			xml-id: C28.S2.XMD1.m1edec
		Property / Symbols used
			Q12311
		Property / Symbols used: Q12311 / rank
			Normal rank
		Property / Symbols used: Q12311 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\alpha}}$ \alpha
		Property / Symbols used: Q12311 / qualifier
			xml-id: C28.S28.XMD1.m1edec
		Property / Symbols used
			Q12312
		Property / Symbols used: Q12312 / rank
			Normal rank
		Property / Symbols used: Q12312 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathcal{L}_{j}}}$ \mathcal{L}_{j}
		Property / Symbols used: Q12312 / qualifier
			xml-id: C28.S28.XMD2.m1adec

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Latest revision as of 15:18, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:28.28.E7	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\dfrac{1}{\pi}\int_{\mathcal{L}_{j}}e^{2\mathrm{i}hw}\mathrm{me}_{\nu}\left(t,h^{2}\right)\mathrm{d}t=e^{\mathrm{i}\nu\pi/{2}}\mathrm{me}_{\nu}\left(\alpha,h^{2}\right){\mathrm{M}^{(j)}_{\nu}}\left(z,h\right),}}$

0 references

DLMF id

DLMF:28.28.E7

0 references

constraint

${\displaystyle{\displaystyle j=3,4}}$

0 references

Symbols used

Q12299

Defining formula

${\displaystyle{\displaystyle\mathrm{me}_{\NVar{n}}\left(\NVar{z},\NVar{q}\right)}}$

xml-id

C28.S12.SS2.p2.m2adec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2aedec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1addec

0 references

base of natural logarithm

Defining formula

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

xml-id

C4.S2.E11.m2addec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2aedec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3addec

0 references

Q12301

Defining formula

${\displaystyle{\displaystyle{\mathrm{M}^{(\NVar{j})}_{\NVar{\nu}}}\left(\NVar{z},\NVar{h}\right)}}$

xml-id

C28.S20.SS3.p1.m4adec

0 references

Q12294

Defining formula

${\displaystyle{\displaystyle h}}$

xml-id

C28.S1.XMD11.m1ddec

0 references

Q12291

Defining formula

${\displaystyle{\displaystyle j}}$

xml-id

C28.S1.XMD3.m1adec

0 references

Q12272

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C28.S1.XMD6.m1edec

0 references

Q12278

Defining formula

${\displaystyle{\displaystyle\nu}}$

xml-id

C28.S1.XMD7.m1dec

0 references

Q12274

Defining formula

${\displaystyle{\displaystyle w(z)}}$

xml-id

C28.S2.XMD1.m1edec

0 references

Q12311

Defining formula

${\displaystyle{\displaystyle\alpha}}$

xml-id

C28.S28.XMD1.m1edec

0 references

Q12312

Defining formula

${\displaystyle{\displaystyle\mathcal{L}_{j}}}$

xml-id

C28.S28.XMD2.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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