DLMF:10.43.E29 (Q3643): Difference between revisions

From DRMF

Jump to navigation Jump to search

Latest revision as of 14:04, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:10.43.E29	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}t\exp\left(-p^{2}t^{2}\right)I_{0% }\left(at\right)K_{0}\left(at\right)\mathrm{d}t=\frac{1}{4p^{2}}\exp\left(% \frac{a^{2}}{2p^{2}}\right)K_{0}\left(\frac{a^{2}}{2p^{2}}\right),}}

0 references

DLMF:10.43.E29

0 references

{\displaystyle{\displaystyle\Re\left(p^{2}\right)>0}}

0 references

Defining formula

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

C1.S4.SS4.m1axdec

0 references

exponential function

Defining formula

{\displaystyle{\displaystyle\exp\NVar{z}}}

C4.S2.E19.m2addec

0 references

Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3axdec

0 references

modified Bessel function of the first kind

Defining formula

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

C10.S25.E2.m2agdec

0 references

modified Bessel function of the second kind

Defining formula

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

C10.S25.E3.m2andec

0 references

Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1aldec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3643&oldid=43147"