DLMF:14.18.E1 (Q4902): Difference between revisions

From DRMF

Jump to navigation Jump to search

← Older edit

Revision as of 13:27, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 13:27, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
(One intermediate revision by the same user not shown)
		Property / Symbols used
			Q11623
		Property / Symbols used: Q11623 / rank
			Normal rank
		Property / Symbols used: Q11623 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\theta_{1}}}$ \theta_{1}
		Property / Symbols used: Q11623 / qualifier
			xml-id: C14.S18.XMD1.m1dec
		Property / Symbols used
			Q11624
		Property / Symbols used: Q11624 / rank
			Normal rank
		Property / Symbols used: Q11624 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\phi}}$ \phi
		Property / Symbols used: Q11624 / qualifier
			xml-id: C14.S18.XMD2.m1dec

---

Latest revision as of 13:27, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:14.18.E1	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathsf{P}_{\nu}\left(\cos\theta_{1}\cos\theta_{2}+\sin\theta_{1}\sin\theta_{2}\cos\phi\right)=\mathsf{P}_{\nu}\left(\cos\theta_{1}\right)\mathsf{P}_{\nu}\left(\cos\theta_{2}\right)+2\sum_{m=1}^{\infty}(-1)^{m}\mathsf{P}^{-m}_{\nu}\left(\cos\theta_{1}\right)\mathsf{P}^{m}_{\nu}\left(\cos\theta_{2}\right)\cos\left(m\phi\right),}}$

0 references

DLMF id

DLMF:14.18.E1

0 references

Symbols used

Ferrers function of the first kind

Defining formula

${\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}\right)}}$

xml-id

C14.S3.E1.m2adec

0 references

cosine function

Defining formula

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

xml-id

C4.S14.E2.m2adec

0 references

Q11595

Defining formula

${\displaystyle{\displaystyle\mathsf{P}_{\NVar{\nu}}\left(\NVar{x}\right)=\mathsf{P}^{0}_{\nu}\left(x\right)}}$

xml-id

C14.S2.SS2.p2.m2adec

0 references

sine function

Defining formula

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

xml-id

C4.S14.E1.m2adec

0 references

Q11593

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C14.S1.XMD5.m1dec

0 references

Q11590

Defining formula

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

xml-id

C14.S1.XMD8.m1dec

0 references

Q11623

Defining formula

${\displaystyle{\displaystyle\theta_{1}}}$

xml-id

C14.S18.XMD1.m1dec

0 references

Q11624

Defining formula

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

xml-id

C14.S18.XMD2.m1dec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4902&oldid=36594"