DLMF:14.17.E20 (Q4901)

From DRMF

Revision as of 13:26, 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:14.17.E20	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{1}^{\infty}(Q_{\nu}\left(x\right))^{2}% \mathrm{d}x=\frac{\psi'\left(\nu+1\right)}{2\nu+1},}}

0 references

DLMF:14.17.E20

0 references

{\displaystyle{\displaystyle\Re\nu>-\tfrac{1}{2}}}

0 references

Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1asdec

0 references

psi (or digamma) function

Defining formula

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

C5.S2.E2.m2agdec

0 references

Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3asdec

0 references

Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1aedec

0 references

Defining formula

{\displaystyle{\displaystyle Q_{\NVar{\nu}}\left(\NVar{z}\right)=Q^{0}_{\nu}% \left(z\right)}}

C14.S2.SS2.p2.m5abdec

0 references

Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1rdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4901&oldid=36552"