DLMF:28.10.E3 (Q8282): Difference between revisions

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Revision as of 14:49, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:49, 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
			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.m1bdec
		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.m1bdec

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Latest revision as of 14:49, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:28.10.E3	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\frac{2}{\pi}\int_{0}^{\ifrac{\pi}{2}}\sin\left(2h\cos z\cos t\right)\mathrm{ce}_{2n+1}\left(t,h^{2}\right)\mathrm{d}t=-\frac{hA_{1}^{2n+1}(h^{2})}{\mathrm{ce}_{2n+1}'\left(\frac{1}{2}\pi,h^{2}\right)}\mathrm{ce}_{2n+1}\left(z,h^{2}\right),}}$

0 references

DLMF id

DLMF:28.10.E3

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.m7abdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2abdec

0 references

cosine function

Defining formula

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

xml-id

C4.S14.E2.m2aadec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1abdec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3abdec

0 references

sine function

Defining formula

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

xml-id

C4.S14.E1.m2aadec

0 references

Q12294

Defining formula

${\displaystyle{\displaystyle h}}$

xml-id

C28.S1.XMD11.m1bdec

0 references

Q12279

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C28.S1.XMD2.m1bdec

0 references

Q12272

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C28.S1.XMD6.m1bdec

0 references

Q12287

Defining formula

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

xml-id

C28.S4.XMD1.m1bdec

0 references

 

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