DLMF:29.6.E45 (Q8677): Difference between revisions

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Revision as of 01:18, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 01:18, 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
			Q12350
		Property / Symbols used: Q12350 / rank
			Normal rank
		Property / Symbols used: Q12350 / qualifier
			Defining formula: ${\displaystyle{\displaystyle k}}$ k
		Property / Symbols used: Q12350 / qualifier
			xml-id: C29.S1.XMD8.m1wdec
		Property / Symbols used
			Q12351
		Property / Symbols used: Q12351 / rank
			Normal rank
		Property / Symbols used: Q12351 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\nu}}$ \nu
		Property / Symbols used: Q12351 / qualifier
			xml-id: C29.S1.XMD9.m1tdec
		Property / Symbols used
			Q12373
		Property / Symbols used: Q12373 / rank
			Normal rank
		Property / Symbols used: Q12373 / qualifier
			Defining formula: ${\displaystyle{\displaystyle D_{2p+1}}}$ D_{2p+1}
		Property / Symbols used: Q12373 / qualifier
			xml-id: C29.S6.XMD10.m1fdec
		Property / Symbols used
			Q12372
		Property / Symbols used: Q12372 / rank
			Normal rank
		Property / Symbols used: Q12372 / qualifier
			Defining formula: ${\displaystyle{\displaystyle B_{2p+1}}}$ B_{2p+1}
		Property / Symbols used: Q12372 / qualifier
			xml-id: C29.S6.XMD9.m1fdec

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Latest revision as of 01:18, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:29.6.E45	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\sum_{p=0}^{\infty}B_{2p+1}D_{2p+1}=\frac{4}{\pi}\int_{0}^{K}\left(\mathit{Es}^{2m+1}_{\nu}\left(x,k^{2}\right)\right)^{2}\mathrm{d}x.}}$

0 references

DLMF id

DLMF:29.6.E45

0 references

Symbols used

Q12364

Defining formula

${\displaystyle{\displaystyle\mathit{Es}^{\NVar{m}}_{\NVar{\nu}}\left(\NVar{z},\NVar{k^{2}}\right)}}$

xml-id

C29.S3.SS4.p1.m6abdec

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

Q11600

Defining formula

${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$

xml-id

C19.S2.E8.m1abdec

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

Q12357

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C29.S1.XMD1.m1qdec

0 references

Q12359

Defining formula

${\displaystyle{\displaystyle p}}$

xml-id

C29.S1.XMD3.m1aidec

0 references

Q12369

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C29.S1.XMD4.m1bdec

0 references

Q12350

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C29.S1.XMD8.m1wdec

0 references

Q12351

Defining formula

${\displaystyle{\displaystyle\nu}}$

xml-id

C29.S1.XMD9.m1tdec

0 references

Q12373

Defining formula

${\displaystyle{\displaystyle D_{2p+1}}}$

xml-id

C29.S6.XMD10.m1fdec

0 references

Q12372

Defining formula

${\displaystyle{\displaystyle B_{2p+1}}}$

xml-id

C29.S6.XMD9.m1fdec

0 references

 

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