DLMF:19.5.E1 (Q6130): Difference between revisions

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Revision as of 13:38, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 13:38, 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
			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
		Property / Symbols used
			Q11818
		Property / Symbols used: Q11818 / rank
			Normal rank
		Property / Symbols used: Q11818 / qualifier
			Defining formula: ${\displaystyle{\displaystyle m}}$ m
		Property / Symbols used: Q11818 / qualifier
			xml-id: C19.S1.XMD2.m1dec
		Property / Symbols used
			Q11808
		Property / Symbols used: Q11808 / rank
			Normal rank
		Property / Symbols used: Q11808 / qualifier
			Defining formula: ${\displaystyle{\displaystyle k}}$ k
		Property / Symbols used: Q11808 / qualifier
			xml-id: C19.S1.XMD5.m1dec

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Latest revision as of 13:38, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:19.5.E1	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle K\left(k\right)=\frac{\pi}{2}\sum_{m=0}^{\infty}\frac{{\left(\tfrac{1}{2}\right)_{m}}{\left(\tfrac{1}{2}\right)_{m}}}{m!\;m!}k^{2m}=\frac{\pi}{2}{{}_{2}F_{1}}\left(\tfrac{1}{2},\tfrac{1}{2};1;k^{2}\right),}}$

0 references

DLMF id

DLMF:19.5.E1

0 references

Symbols used

Q11581

Defining formula

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

xml-id

C16.S2.m5adec

0 references

Q10759

Defining formula

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

xml-id

C5.S2.SS3.m1adec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

${\displaystyle{\displaystyle\pi}}$

xml-id

C3.S12.E1.m2adec

0 references

Q11600

Defining formula

${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$

xml-id

C19.S2.E8.m1adec

0 references

Q10755

Defining formula

${\displaystyle{\displaystyle!}}$

xml-id

introduction.Sx4.p1.t1.r15.m5adec

0 references

Q11818

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C19.S1.XMD2.m1dec

0 references

Q11808

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C19.S1.XMD5.m1dec

0 references

 

Sitelinks

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