DLMF:15.9.E2 (Q5092): Difference between revisions

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Revision as of 14:08, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:08, 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
			Q11475
		Property / Symbols used: Q11475 / rank
			Normal rank
		Property / Symbols used: Q11475 / qualifier
			Defining formula: ${\displaystyle{\displaystyle C^{(\NVar{\lambda})}_{\NVar{n}}\left(\NVar{x}\right)}}$ \ultrasphpoly{\NVar{\lambda}}{\NVar{n}}@{\NVar{x}}
		Property / Symbols used: Q11475 / qualifier
			xml-id: C18.S3.T1.t1.r3.m2adec
		Property / Symbols used
			Q11649
		Property / Symbols used: Q11649 / rank
			Normal rank
		Property / Symbols used: Q11649 / qualifier
			Defining formula: ${\displaystyle{\displaystyle x}}$ x
		Property / Symbols used: Q11649 / qualifier
			xml-id: C15.S1.XMD1.m1adec
		Property / Symbols used
			Q11650
		Property / Symbols used: Q11650 / rank
			Normal rank
		Property / Symbols used: Q11650 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q11650 / qualifier
			xml-id: C15.S1.XMD10.m1adec

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Latest revision as of 14:08, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:15.9.E2	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle C^{(\lambda)}_{n}\left(x\right)=\frac{{\left(2\lambda\right)_{n}}}{n!}F\left({-n,n+2\lambda\atop\lambda+\frac{1}{2}};\frac{1-x}{2}\right).}}$

0 references

DLMF id

DLMF:15.9.E2

0 references

Symbols used

$$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function

Defining formula

${\displaystyle{\displaystyle F\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}$

xml-id

C15.S2.E1.m2aadec

0 references

Q10759

Defining formula

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

xml-id

C5.S2.SS3.m1aadec

0 references

Q10755

Defining formula

${\displaystyle{\displaystyle!}}$

xml-id

introduction.Sx4.p1.t1.r15.m5aadec

0 references

Q11475

Defining formula

${\displaystyle{\displaystyle C^{(\NVar{\lambda})}_{\NVar{n}}\left(\NVar{x}\right)}}$

xml-id

C18.S3.T1.t1.r3.m2adec

0 references

Q11649

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C15.S1.XMD1.m1adec

0 references

Q11650

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C15.S1.XMD10.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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