DLMF:28.10.E8 (Q8287): Difference between revisions

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Revision as of 14:51, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:51, 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.m1gdec
		Property / Symbols used
			Q12279
		Property / Symbols used: Q12279 / rank
			Normal rank
		Property / Symbols used: Q12279 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q12279 / qualifier
			xml-id: C28.S1.XMD2.m1gdec
		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.m1gdec
		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.m1cdec

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Latest revision as of 14:51, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:28.10.E8	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\frac{2}{\pi}\int_{0}^{\ifrac{\pi}{2}}\cos z\cos t\sinh\left(2h\sin z\sin t\right)\mathrm{se}_{2n+2}\left(t,h^{2}\right)\mathrm{d}t=\frac{hB_{2}^{2n+2}(h^{2})}{2\mathrm{se}_{2n+2}'\left(0,h^{2}\right)}\mathrm{se}_{2n+2}\left(z,h^{2}\right).}}$

0 references

DLMF id

DLMF:28.10.E8

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.m2agdec

0 references

cosine function

Defining formula

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

xml-id

C4.S14.E2.m2aedec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1agdec

0 references

hyperbolic sine function

Defining formula

${\displaystyle{\displaystyle\sinh\NVar{z}}}$

xml-id

C4.S28.E1.m2aadec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3agdec

0 references

sine function

Defining formula

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

xml-id

C4.S14.E1.m2afdec

0 references

Q12294

Defining formula

${\displaystyle{\displaystyle h}}$

xml-id

C28.S1.XMD11.m1gdec

0 references

Q12279

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C28.S1.XMD2.m1gdec

0 references

Q12272

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C28.S1.XMD6.m1gdec

0 references

Q12288

Defining formula

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

xml-id

C28.S4.XMD2.m1cdec

0 references

 

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