DLMF:32.10.E31 (Q9432): Difference between revisions

From DRMF

Jump to navigation Jump to search

Revision as of 00:50, 30 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 14:12, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
(5 intermediate revisions by the same user not shown)
		Property / Symbols used
			$$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function
		Property / Symbols used: $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function / rank
			Normal rank
		Property / Symbols used: $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function / qualifier
			Defining formula: ${\displaystyle{\displaystyle F\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}$ \hyperF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}
		Property / Symbols used: $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function / qualifier
			xml-id: C15.S2.E1.m2adec
		Property / Symbols used
			Q12623
		Property / Symbols used: Q12623 / rank
			Normal rank
		Property / Symbols used: Q12623 / qualifier
			Defining formula: ${\displaystyle{\displaystyle a}}$ a
		Property / Symbols used: Q12623 / qualifier
			xml-id: C32.S10.XMD22.m1cdec
		Property / Symbols used
			Q12624
		Property / Symbols used: Q12624 / rank
			Normal rank
		Property / Symbols used: Q12624 / qualifier
			Defining formula: ${\displaystyle{\displaystyle b}}$ b
		Property / Symbols used: Q12624 / qualifier
			xml-id: C32.S10.XMD23.m1bdec
		Property / Symbols used
			Q12625
		Property / Symbols used: Q12625 / rank
			Normal rank
		Property / Symbols used: Q12625 / qualifier
			Defining formula: ${\displaystyle{\displaystyle c}}$ c
		Property / Symbols used: Q12625 / qualifier
			xml-id: C32.S10.XMD24.m1bdec
		Property / Symbols used
			Q12627
		Property / Symbols used: Q12627 / rank
			Normal rank
		Property / Symbols used: Q12627 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\phi(z)}}$ \phi(z)
		Property / Symbols used: Q12627 / qualifier
			xml-id: C32.S10.XMD27.m1adec
		Property / Symbols used
			Q12628
		Property / Symbols used: Q12628 / rank
			Normal rank
		Property / Symbols used: Q12628 / qualifier
			Defining formula: ${\displaystyle{\displaystyle C}}$ C
		Property / Symbols used: Q12628 / qualifier
			xml-id: C32.S10.XMD32.m1dec

---

Latest revision as of 14:12, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:32.10.E31	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\phi(\zeta)=C_{1}F\left(b,-a;b+c;\zeta\right)+C_{2}\zeta^{-b+1-c}\*F\left(-a-b-c+1,-c+1;2-b-c;\zeta\right),}}$

0 references

DLMF id

DLMF:32.10.E31

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.m2adec

0 references

Q12623

Defining formula

${\displaystyle{\displaystyle a}}$

xml-id

C32.S10.XMD22.m1cdec

0 references

Q12624

Defining formula

${\displaystyle{\displaystyle b}}$

xml-id

C32.S10.XMD23.m1bdec

0 references

Q12625

Defining formula

${\displaystyle{\displaystyle c}}$

xml-id

C32.S10.XMD24.m1bdec

0 references

Q12627

Defining formula

${\displaystyle{\displaystyle\phi(z)}}$

xml-id

C32.S10.XMD27.m1adec

0 references

Q12628

Defining formula

${\displaystyle{\displaystyle C}}$

xml-id

C32.S10.XMD32.m1dec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q9432&oldid=44521"