DLMF:31.16.E3 (Q9136): Difference between revisions

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Revision as of 13:46, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 13:46, 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
			Q12458
		Property / Symbols used: Q12458 / rank
			Normal rank
		Property / Symbols used: Q12458 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\gamma}}$ \gamma
		Property / Symbols used: Q12458 / qualifier
			xml-id: C31.S1.XMD10.m1adec
		Property / Symbols used
			Q12459
		Property / Symbols used: Q12459 / rank
			Normal rank
		Property / Symbols used: Q12459 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\delta}}$ \delta
		Property / Symbols used: Q12459 / qualifier
			xml-id: C31.S1.XMD11.m1adec
		Property / Symbols used
			Q12483
		Property / Symbols used: Q12483 / rank
			Normal rank
		Property / Symbols used: Q12483 / qualifier
			Defining formula: ${\displaystyle{\displaystyle m}}$ m
		Property / Symbols used: Q12483 / qualifier
			xml-id: C31.S1.XMD4.m1adec
		Property / Symbols used
			Q12484
		Property / Symbols used: Q12484 / rank
			Normal rank
		Property / Symbols used: Q12484 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q12484 / qualifier
			xml-id: C31.S1.XMD5.m1adec
		Property / Symbols used
			Q12461
		Property / Symbols used: Q12461 / rank
			Normal rank
		Property / Symbols used: Q12461 / qualifier
			Defining formula: ${\displaystyle{\displaystyle a}}$ a
		Property / Symbols used: Q12461 / qualifier
			xml-id: C31.S1.XMD6.m1bdec
		Property / Symbols used
			Q12462
		Property / Symbols used: Q12462 / rank
			Normal rank
		Property / Symbols used: Q12462 / qualifier
			Defining formula: ${\displaystyle{\displaystyle q}}$ q
		Property / Symbols used: Q12462 / qualifier
			xml-id: C31.S1.XMD7.m1adec
		Property / Symbols used
			Q12464
		Property / Symbols used: Q12464 / rank
			Normal rank
		Property / Symbols used: Q12464 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\beta}}$ \beta
		Property / Symbols used: Q12464 / qualifier
			xml-id: C31.S1.XMD9.m1adec
		Property / Symbols used
			Q12520
		Property / Symbols used: Q12520 / rank
			Normal rank
		Property / Symbols used: Q12520 / qualifier
			Defining formula: ${\displaystyle{\displaystyle A_{j}}}$ A_{j}
		Property / Symbols used: Q12520 / qualifier
			xml-id: C31.S16.XMD5.m1adec
		Property / Symbols used
			DLMF:31.16.E6
		Property / Symbols used: DLMF:31.16.E6 / rank
			Normal rank
		Property / Symbols used: DLMF:31.16.E6 / qualifier
			Defining formula: ${\displaystyle{\displaystyle Q_{j}}}$ Q_{j}
		Property / Symbols used: DLMF:31.16.E6 / qualifier
			xml-id: C31.S16.XMD7.m1dec
		Property / Symbols used
			DLMF:31.16.E7
		Property / Symbols used: DLMF:31.16.E7 / rank
			Normal rank
		Property / Symbols used: DLMF:31.16.E7 / qualifier
			Defining formula: ${\displaystyle{\displaystyle R_{j}}}$ R_{j}
		Property / Symbols used: DLMF:31.16.E7 / qualifier
			xml-id: C31.S16.XMD8.m1dec

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Latest revision as of 13:46, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:31.16.E3	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle A_{0}=\frac{n!}{{\left(\gamma+\delta\right)_{n}}}\mathit{Hp}_{n,m}\left(1\right),\quad Q_{0}A_{0}+R_{0}A_{1}=0,}}$

0 references

DLMF id

DLMF:31.16.E3

0 references

Symbols used

Heun polynomials

Defining formula

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

xml-id

C31.S5.E2.m2aadec

0 references

Q10759

Defining formula

${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$

xml-id

C5.S2.SS3.m1adec

0 references

Q10755

Defining formula

${\displaystyle{\displaystyle!}}$

xml-id

introduction.Sx4.p1.t1.r15.m5adec

0 references

Q12458

Defining formula

${\displaystyle{\displaystyle\gamma}}$

xml-id

C31.S1.XMD10.m1adec

0 references

Q12459

Defining formula

${\displaystyle{\displaystyle\delta}}$

xml-id

C31.S1.XMD11.m1adec

0 references

Q12483

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C31.S1.XMD4.m1adec

0 references

Q12484

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C31.S1.XMD5.m1adec

0 references

Q12461

Defining formula

${\displaystyle{\displaystyle a}}$

xml-id

C31.S1.XMD6.m1bdec

0 references

Q12462

Defining formula

${\displaystyle{\displaystyle q}}$

xml-id

C31.S1.XMD7.m1adec

0 references

Q12464

Defining formula

${\displaystyle{\displaystyle\beta}}$

xml-id

C31.S1.XMD9.m1adec

0 references

Q12520

Defining formula

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

xml-id

C31.S16.XMD5.m1adec

0 references

DLMF:31.16.E6

Defining formula

${\displaystyle{\displaystyle Q_{j}}}$

xml-id

C31.S16.XMD7.m1dec

0 references

DLMF:31.16.E7

Defining formula

${\displaystyle{\displaystyle R_{j}}}$

xml-id

C31.S16.XMD8.m1dec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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