DLMF:10.22.E46 (Q3420)

From DRMF

Revision as of 13:21, 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:10.22.E46	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}\frac{t^{\nu+1}J_{\nu}\left(at% \right)}{(t^{2}+b^{2})^{\mu+1}}\mathrm{d}t=\frac{a^{\mu}b^{\nu-\mu}}{2^{\mu}% \Gamma\left(\mu+1\right)}K_{\nu-\mu}\left(ab\right),}}

0 references

DLMF:10.22.E46

0 references

{\displaystyle{\displaystyle\Re b>0}}

0 references

{\displaystyle{\displaystyle-1<\Re\nu<2\Re\mu+\tfrac{3}{2}}}

0 references

{\displaystyle{\displaystyle a>0}}

0 references

{\displaystyle{\displaystyle\Re b>0}}

0 references

{\displaystyle{\displaystyle-1<\Re\nu<2\Re\mu+\tfrac{3}{2}}}

0 references

Bessel function of the first kind

Defining formula

{\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S2.E2.m2aaidec

0 references

Defining formula

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

C5.S2.E1.m2aldec

0 references

Defining formula

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

C1.S4.SS4.m1aasdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3420&oldid=35709"