DLMF:28.28.E22 (Q8448): Difference between revisions

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Revision as of 15:24, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:24, 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
			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.m1ddec
		Property / Symbols used
			Q12288
		Property / Symbols used: Q12288 / rank
			Normal rank
		Property / Symbols used: Q12288 / qualifier
			Defining formula: ${\displaystyle{\displaystyle B_{m}(q)}}$ B_{m}(q)
		Property / Symbols used: Q12288 / qualifier
			xml-id: C28.S4.XMD2.m1dec

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Latest revision as of 15:24, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:28.28.E22	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\dfrac{4}{\pi}\int_{0}^{\pi/2}\mathcal{C}^{(j)}_{2\ell+1}(2hR)\sin\left((2\ell+1)\phi\right)\mathrm{se}_{2m+1}\left(t,h^{2}\right)\mathrm{d}t=(-1)^{\ell+m}B^{2m+1}_{2\ell+1}(h^{2}){\mathrm{Ms}^{(j)}_{2m+1}}\left(z,h\right),}}$

0 references

DLMF id

DLMF:28.28.E22

0 references

Symbols used

Q12286

Defining formula

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

xml-id

C28.S2.SS6.p1.m8acdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2ardec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1apdec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3apdec

0 references

radial Mathieu function

Defining formula

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

xml-id

C28.S20.E16.m2acdec

0 references

sine function

Defining formula

${\displaystyle{\displaystyle\sin\NVar{z}}}$

xml-id

C4.S14.E1.m2abdec

0 references

Q12284

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C28.S1.XMD1.m1ddec

0 references

Q12294

Defining formula

${\displaystyle{\displaystyle h}}$

xml-id

C28.S1.XMD11.m1qdec

0 references

Q12291

Defining formula

${\displaystyle{\displaystyle j}}$

xml-id

C28.S1.XMD3.m1fdec

0 references

Q12272

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C28.S1.XMD6.m1rdec

0 references

Q12304

Defining formula

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

xml-id

C28.S23.XMD1.m1cdec

0 references

Q12314

Defining formula

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

xml-id

C28.S28.XMD4.m1ddec

0 references

Q12315

Defining formula

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

xml-id

C28.S28.XMD5.m1ddec

0 references

Q12288

Defining formula

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

xml-id

C28.S4.XMD2.m1dec

0 references

 

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