DLMF:16.16.E7 (Q5273): Difference between revisions

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Revision as of 15:54, 29 December 2019 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Created a new Item: Wikidata Toolkit example test item creation		Latest revision as of 14:42, 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
			fourth Appell function
		Property / Symbols used: fourth Appell function / rank
			Normal rank
		Property / Symbols used: fourth Appell function / qualifier
			Defining formula: ${\displaystyle{\displaystyle{F_{4}}\left(\NVar{\alpha},\NVar{\beta};\NVar{\gamma},\NVar{\gamma^{\prime}}{missing}{missing};missing,missing\right)\)\@add@PDF@RDFa@triples\end{document}}}$ \AppellF{4}@{\NVar{\alpha}}{\NVar{\beta}}{\NVar{\gamma}}{\NVar{\gamma^{\prime}% }}{\NVar{x}}{\NVar{y}}
		Property / Symbols used: fourth Appell function / qualifier
			xml-id: C16.S13.E4.m2aadec
		Property / Symbols used
			Q11581
		Property / Symbols used: Q11581 / rank
			Normal rank
		Property / Symbols used: Q11581 / qualifier
			Defining formula: ${\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}$ \genhyperF{2}{1}@{\NVar{a},\NVar{b}}{\NVar{c}}{\NVar{z}}
		Property / Symbols used: Q11581 / qualifier
			xml-id: C16.S2.m5addec
		Property / Symbols used
			Q10759
		Property / Symbols used: Q10759 / rank
			Normal rank
		Property / Symbols used: Q10759 / qualifier
			Defining formula: ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$ \Pochhammersym{\NVar{a}}{\NVar{n}}
		Property / Symbols used: Q10759 / qualifier
			xml-id: C5.S2.SS3.m1adec
		Property / Symbols used
			Q10755
		Property / Symbols used: Q10755 / rank
			Normal rank
		Property / Symbols used: Q10755 / qualifier
			Defining formula: ${\displaystyle{\displaystyle!}}$ !
		Property / Symbols used: Q10755 / qualifier
			xml-id: introduction.Sx4.p1.t1.r15.m5adec

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Latest revision as of 14:42, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:16.16.E7	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle{F_{4}}\left(\alpha,\beta;\gamma,\gamma^{\prime};x(1-y),y(1-x)\right)=\sum_{k=0}^{\infty}\frac{{\left(\alpha\right)_{k}}{\left(\beta\right)_{k}}{\left(\alpha+\beta-\gamma-\gamma^{\prime}+1\right)_{k}}}{{\left(\gamma\right)_{k}}{\left(\gamma^{\prime}\right)_{k}}k!}x^{k}y^{k}{{}_{2}F_{1}}\left({\alpha+k,\beta+k\atop\gamma+k};x\right){{}_{2}F_{1}}\left({\alpha+k,\beta+k\atop\gamma^{\prime}+k};y\right);}}$

0 references

DLMF id

DLMF:16.16.E7

0 references

Symbols used

fourth Appell function

Defining formula

${\displaystyle{\displaystyle{F_{4}}\left(\NVar{\alpha},\NVar{\beta};\NVar{\gamma},\NVar{\gamma^{\prime}}{missing}{missing};missing,missing\right)\)\@add@PDF@RDFa@triples\end{document}}}$

xml-id

C16.S13.E4.m2aadec

0 references

Q11581

Defining formula

${\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}$

xml-id

C16.S2.m5addec

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

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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