DLMF:29.15.E46 (Q8791): Difference between revisions

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Revision as of 01:37, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 01:37, 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
			Q12348
		Property / Symbols used: Q12348 / rank
			Normal rank
		Property / Symbols used: Q12348 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q12348 / qualifier
			xml-id: C29.S1.XMD6.m1kdec
		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
			Q12368
		Property / Symbols used: Q12368 / rank
			Normal rank
		Property / Symbols used: Q12368 / qualifier
			Defining formula: ${\displaystyle{\displaystyle C_{2p}}}$ C_{2p}
		Property / Symbols used: Q12368 / qualifier
			xml-id: C29.S6.XMD4.m1dec

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Latest revision as of 01:37, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:29.15.E46	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathit{dE}^{m}_{2n+1}\left(z,k^{2}\right)=\operatorname{dn}\left(z,k\right)\left(\tfrac{1}{2}C_{0}+\sum_{p=1}^{n}C_{2p}T_{2p}\left(\operatorname{sn}\left(z,k\right)\right)\right),}}$

0 references

DLMF id

DLMF:29.15.E46

0 references

Symbols used

Q11207

Defining formula

${\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}}$

xml-id

C18.S3.T1.t1.r4.m2abdec

0 references

Jacobian elliptic function

Defining formula

${\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}}$

xml-id

C22.S2.E6.m2addec

0 references

Jacobian elliptic function

Defining formula

${\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}$

xml-id

C22.S2.E4.m2acdec

0 references

Lamé polynomial

Defining formula

${\displaystyle{\displaystyle\mathit{dE}^{\NVar{m}}_{2\NVar{n}+1}\left(\NVar{z},\NVar{k^{2}}\right)}}$

xml-id

C29.S12.E4.m2aadec

0 references

Q12357

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C29.S1.XMD1.m1sdec

0 references

Q12367

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C29.S1.XMD2.m1akdec

0 references

Q12359

Defining formula

${\displaystyle{\displaystyle p}}$

xml-id

C29.S1.XMD3.m1aadec

0 references

Q12348

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C29.S1.XMD6.m1kdec

0 references

Q12350

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C29.S1.XMD8.m1wdec

0 references

Q12368

Defining formula

${\displaystyle{\displaystyle C_{2p}}}$

xml-id

C29.S6.XMD4.m1dec

0 references

 

Sitelinks

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