DLMF:10.22.E47 (Q3421)

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.E47	No description defined

Statements

Defining formula

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

0 references

DLMF:10.22.E47

0 references

{\displaystyle{\displaystyle a>0,\Re b>0,-\tfrac{1}{2}<\Re\nu<\tfrac{5}{2}}}

0 references

Bessel function of the second kind

Defining formula

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

C10.S2.E3.m2afdec

0 references

Defining formula

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

C1.S4.SS4.m1aatdec

0 references

Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aatdec

0 references

modified Bessel function of the second kind

Defining formula

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

C10.S25.E3.m2aadec

0 references

Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1aabdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3421&oldid=35755"