DLMF:29.15.E33 (Q8778): Difference between revisions

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Revision as of 01:34, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 01:34, 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
			sine function
		Property / Symbols used: sine function / rank
			Normal rank
		Property / Symbols used: sine function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\sin\NVar{z}}}$ \sin@@{\NVar{z}}
		Property / Symbols used: sine function / qualifier
			xml-id: C4.S14.E1.m2abdec
		Property / Symbols used
			Q12357
		Property / Symbols used: Q12357 / rank
			Normal rank
		Property / Symbols used: Q12357 / qualifier
			Defining formula: ${\displaystyle{\displaystyle m}}$ m
		Property / Symbols used: Q12357 / qualifier
			xml-id: C29.S1.XMD1.m1ldec
		Property / Symbols used
			Q12367
		Property / Symbols used: Q12367 / rank
			Normal rank
		Property / Symbols used: Q12367 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q12367 / qualifier
			xml-id: C29.S1.XMD2.m1zdec
		Property / Symbols used
			Q12359
		Property / Symbols used: Q12359 / rank
			Normal rank
		Property / Symbols used: Q12359 / qualifier
			Defining formula: ${\displaystyle{\displaystyle p}}$ p
		Property / Symbols used: Q12359 / qualifier
			xml-id: C29.S1.XMD3.m1rdec
		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.m1fdec
		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.m1ndec
		Property / Symbols used
			change of variable (locally)
		Property / Symbols used: change of variable (locally) / rank
			Normal rank
		Property / Symbols used: change of variable (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle\phi}}$ \phi
		Property / Symbols used: change of variable (locally) / qualifier
			xml-id: C29.S2.XMD3.m1fdec
		Property / Symbols used
			Q12375
		Property / Symbols used: Q12375 / rank
			Normal rank
		Property / Symbols used: Q12375 / qualifier
			Defining formula: ${\displaystyle{\displaystyle D_{2p}}}$ D_{2p}
		Property / Symbols used: Q12375 / qualifier
			xml-id: C29.S6.XMD13.m1dec

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Latest revision as of 01:34, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:29.15.E33	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathit{cdE}^{m}_{2n+2}\left(z,k^{2}\right)=\operatorname{dn}\left(z,k\right)\sum_{p=0}^{n}D_{2p+1}\sin\left((2p+1)\phi\right).}}$

0 references

DLMF id

DLMF:29.15.E33

0 references

Symbols used

Jacobian elliptic function

Defining formula

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

xml-id

C22.S2.E6.m2abdec

0 references

Lamé polynomial

Defining formula

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

xml-id

C29.S12.E7.m2adec

0 references

sine function

Defining formula

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

xml-id

C4.S14.E1.m2abdec

0 references

Q12357

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C29.S1.XMD1.m1ldec

0 references

Q12367

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C29.S1.XMD2.m1zdec

0 references

Q12359

Defining formula

${\displaystyle{\displaystyle p}}$

xml-id

C29.S1.XMD3.m1rdec

0 references

Q12348

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C29.S1.XMD6.m1fdec

0 references

Q12350

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C29.S1.XMD8.m1ndec

0 references

change of variable (locally)

Defining formula

${\displaystyle{\displaystyle\phi}}$

xml-id

C29.S2.XMD3.m1fdec

0 references

Q12375

Defining formula

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

xml-id

C29.S6.XMD13.m1dec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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