DLMF:28.4.E27 (Q8221): Difference between revisions

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Revision as of 14:42, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:42, 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
			Q12282
		Property / Symbols used: Q12282 / rank
			Normal rank
		Property / Symbols used: Q12282 / qualifier
			Defining formula: ${\displaystyle{\displaystyle b_{\NVar{n}}\left(\NVar{q}\right)}}$ \Mathieueigvalb{\NVar{n}}@{\NVar{q}}
		Property / Symbols used: Q12282 / qualifier
			xml-id: C28.S2.SS5.p1.m4acdec
		Property / Symbols used
			the ratio of the circumference of a circle to its diameter
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
			Normal rank
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
			Defining formula: ${\displaystyle{\displaystyle\pi}}$ \cpi
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
			xml-id: C3.S12.E1.m2acdec
		Property / Symbols used
			Q10755
		Property / Symbols used: Q10755 / rank
			Normal rank
		Property / Symbols used: Q10755 / qualifier
			Defining formula: ${\displaystyle{\displaystyle!}}$ !
		Property / Symbols used: Q10755 / qualifier
			xml-id: introduction.Sx4.p1.t1.r15.m5addec
		Property / Symbols used
			Q12284
		Property / Symbols used: Q12284 / rank
			Normal rank
		Property / Symbols used: Q12284 / qualifier
			Defining formula: ${\displaystyle{\displaystyle m}}$ m
		Property / Symbols used: Q12284 / qualifier
			xml-id: C28.S1.XMD1.m1ydec
		Property / Symbols used
			Q12271
		Property / Symbols used: Q12271 / rank
			Normal rank
		Property / Symbols used: Q12271 / qualifier
			Defining formula: ${\displaystyle{\displaystyle q=h^{2}}}$ q=h^{2}
		Property / Symbols used: Q12271 / qualifier
			xml-id: C28.S1.XMD10.m1vdec
		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.m1wdec
		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.m1adec
		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.m1ndec

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Latest revision as of 14:42, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:28.4.E27	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\frac{B^{2n+2}_{2m}(q)}{B^{2n+2}_{2}(q)}=\frac{(-1)^{m}}{(m!)^{2}}\left(\frac{q}{4}\right)^{m}\frac{q\pi\left(1+O\left(m^{-1}\right)\right)}{w^{\prime}_{\mbox{\tiny I}}(\frac{1}{2}\pi;b_{2n+2}\left(q\right),q)}.}}$

0 references

DLMF id

DLMF:28.4.E27

0 references

Symbols used

order not exceeding

Defining formula

${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$

xml-id

C2.S1.E3.m2afdec

0 references

Q12282

Defining formula

${\displaystyle{\displaystyle b_{\NVar{n}}\left(\NVar{q}\right)}}$

xml-id

C28.S2.SS5.p1.m4acdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2acdec

0 references

Q10755

Defining formula

${\displaystyle{\displaystyle!}}$

xml-id

introduction.Sx4.p1.t1.r15.m5addec

0 references

Q12284

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C28.S1.XMD1.m1ydec

0 references

Q12271

Defining formula

${\displaystyle{\displaystyle q=h^{2}}}$

xml-id

C28.S1.XMD10.m1vdec

0 references

Q12279

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C28.S1.XMD2.m1wdec

0 references

Q12274

Defining formula

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

xml-id

C28.S2.XMD1.m1adec

0 references

Q12288

Defining formula

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

xml-id

C28.S4.XMD2.m1ndec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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