DLMF:28.28.E20 (Q8446): Difference between revisions

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Revision as of 15:23, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:23, 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
			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.m1odec
		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.m1ddec
		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.m1pdec
		Property / Symbols used
			Q12304
		Property / Symbols used: Q12304 / rank
			Normal rank
		Property / Symbols used: Q12304 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathcal{C}_{\mu}^{(j)}}}$ \mathcal{C}_{\mu}^{(j)}
		Property / Symbols used: Q12304 / qualifier
			xml-id: C28.S23.XMD1.m1adec
		Property / Symbols used
			Q12314
		Property / Symbols used: Q12314 / rank
			Normal rank
		Property / Symbols used: Q12314 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\phi(z,t)}}$ \phi(z,t)
		Property / Symbols used: Q12314 / qualifier
			xml-id: C28.S28.XMD4.m1bdec
		Property / Symbols used
			Q12315
		Property / Symbols used: Q12315 / rank
			Normal rank
		Property / Symbols used: Q12315 / qualifier
			Defining formula: ${\displaystyle{\displaystyle R(z,t)}}$ R(z,t)
		Property / Symbols used: Q12315 / qualifier
			xml-id: C28.S28.XMD5.m1bdec
		Property / Symbols used
			Q12316
		Property / Symbols used: Q12316 / rank
			Normal rank
		Property / Symbols used: Q12316 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\varepsilon_{\ell}}}$ \varepsilon_{\ell}
		Property / Symbols used: Q12316 / qualifier
			xml-id: C28.S28.XMD6.m1dec
		Property / Symbols used
			Q12287
		Property / Symbols used: Q12287 / rank
			Normal rank
		Property / Symbols used: Q12287 / qualifier
			Defining formula: ${\displaystyle{\displaystyle A_{m}(q)}}$ A_{m}(q)
		Property / Symbols used: Q12287 / qualifier
			xml-id: C28.S4.XMD1.m1adec

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Latest revision as of 15:23, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:28.28.E20	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\dfrac{2}{\pi}\int_{0}^{\pi}\mathcal{C}^{(j)}_{2\ell}(2hR)\cos\left(2\ell\phi\right)\mathrm{ce}_{2m}\left(t,h^{2}\right)\mathrm{d}t=\varepsilon_{\ell}(-1)^{\ell+m}A^{2m}_{2\ell}(h^{2}){\mathrm{Mc}^{(j)}_{2m}}\left(z,h\right),}}$

0 references

DLMF id

DLMF:28.28.E20

0 references

Symbols used

Q12283

Defining formula

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

xml-id

C28.S2.SS6.p1.m7aedec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2apdec

0 references

cosine function

Defining formula

${\displaystyle{\displaystyle\cos\NVar{z}}}$

xml-id

C4.S14.E2.m2addec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1andec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3andec

0 references

radial Mathieu function

Defining formula

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

xml-id

C28.S20.E15.m2addec

0 references

Q12284

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C28.S1.XMD1.m1bdec

0 references

Q12294

Defining formula

${\displaystyle{\displaystyle h}}$

xml-id

C28.S1.XMD11.m1odec

0 references

Q12291

Defining formula

${\displaystyle{\displaystyle j}}$

xml-id

C28.S1.XMD3.m1ddec

0 references

Q12272

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C28.S1.XMD6.m1pdec

0 references

Q12304

Defining formula

${\displaystyle{\displaystyle\mathcal{C}_{\mu}^{(j)}}}$

xml-id

C28.S23.XMD1.m1adec

0 references

Q12314

Defining formula

${\displaystyle{\displaystyle\phi(z,t)}}$

xml-id

C28.S28.XMD4.m1bdec

0 references

Q12315

Defining formula

${\displaystyle{\displaystyle R(z,t)}}$

xml-id

C28.S28.XMD5.m1bdec

0 references

Q12316

Defining formula

${\displaystyle{\displaystyle\varepsilon_{\ell}}}$

xml-id

C28.S28.XMD6.m1dec

0 references

Q12287

Defining formula

${\displaystyle{\displaystyle A_{m}(q)}}$

xml-id

C28.S4.XMD1.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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