DLMF:14.3.E13 (Q4702)

From DRMF

Revision as of 01:15, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:14.3.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle w_{1}(\nu,\mu,x)=\frac{2^{\mu}\Gamma\left(\frac{1% }{2}\nu+\frac{1}{2}\mu+\frac{1}{2}\right)}{\Gamma\left(\frac{1}{2}\nu-\frac{1}% {2}\mu+1\right)}\left(1-x^{2}\right)^{-\mu/2}\mathbf{F}\left(-\tfrac{1}{2}\nu-% \tfrac{1}{2}\mu,\tfrac{1}{2}\nu-\tfrac{1}{2}\mu+\tfrac{1}{2};\tfrac{1}{2};x^{2% }\right),}}

0 references

DLMF:14.3.E13

0 references

Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2agdec

0 references

$$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Olver’s hypergeometric function

Defining formula

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

C15.S2.E2.m2aidec

0 references

Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1ldec

0 references

Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1hdec

0 references

Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1kdec

0 references

Defining formula

{\displaystyle{\displaystyle w_{2}}}

C14.S3.XMD1.m1bdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4702&oldid=30186"