DLMF:31.16.E1 (Q9132)

From DRMF

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:31.16.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathit{Hp}_{n,m}\left(x\right)\mathit{Hp}_{n,m}% \left(y\right)=\sum_{j=0}^{n}A_{j}{\sin^{2j}}\theta\*P^{(\gamma+\delta+2j-1,% \epsilon-1)}_{n-j}\left(\cos\left(2\theta\right)\right)P^{(\delta-1,\gamma-1)}% _{j}\left(\cos\left(2\phi\right)\right),}}

0 references

DLMF:31.16.E1

0 references

Heun polynomials

Defining formula

{\displaystyle{\displaystyle\mathit{Hp}_{\NVar{n},\NVar{m}}\left(\NVar{a},% \NVar{q_{n,m}};\NVar{-n},\NVar{\beta},\NVar{\gamma},\NVar{\delta};\NVar{z}% \right)}}

C31.S5.E2.m2adec

0 references

Defining formula

{\displaystyle{\displaystyle P^{(\NVar{\alpha},\NVar{\beta})}_{\NVar{n}}\left(% \NVar{x}\right)}}

C18.S3.T1.t1.r2.m2adec

0 references

cosine function

Defining formula

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

C4.S14.E2.m2adec

0 references

Defining formula

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

C4.S14.E1.m2adec

0 references

Defining formula

{\displaystyle{\displaystyle\gamma}}

C31.S1.XMD10.m1dec

0 references

Defining formula

{\displaystyle{\displaystyle\delta}}

C31.S1.XMD11.m1dec

0 references

Defining formula

{\displaystyle{\displaystyle\epsilon}}

C31.S1.XMD12.m1dec

0 references

Defining formula

{\displaystyle{\displaystyle j}}

C31.S1.XMD2.m1dec

0 references

Defining formula

{\displaystyle{\displaystyle m}}

C31.S1.XMD4.m1dec

0 references

Defining formula

{\displaystyle{\displaystyle n}}

C31.S1.XMD5.m1dec

0 references

Defining formula

{\displaystyle{\displaystyle a}}

C31.S1.XMD6.m1dec

0 references

Defining formula

{\displaystyle{\displaystyle q}}

C31.S1.XMD7.m1dec

0 references

Defining formula

{\displaystyle{\displaystyle\beta}}

C31.S1.XMD9.m1dec

0 references

Defining formula

{\displaystyle{\displaystyle\theta}}

C31.S16.XMD1.m1dec

0 references

Defining formula

{\displaystyle{\displaystyle\phi}}

C31.S16.XMD2.m1dec

0 references

Defining formula

{\displaystyle{\displaystyle x}}

C31.S16.XMD3.m1dec

0 references

Defining formula

{\displaystyle{\displaystyle y}}

C31.S16.XMD4.m1dec

0 references

Defining formula

{\displaystyle{\displaystyle A_{j}}}

C31.S16.XMD5.m1dec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q9132&oldid=39885"