DLMF:10.9.E27 (Q3097)

From DRMF

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:10.9.E27	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle J_{\nu}\left(z\right)J_{\nu}\left(\zeta\right)=% \frac{2}{\pi}\int_{0}^{\pi/2}J_{2\nu}\left(2(z\zeta)^{\frac{1}{2}}\sin\theta% \right)\cos\left((z-\zeta)\cos\theta\right)\mathrm{d}\theta,}}

0 references

DLMF:10.9.E27

0 references

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

0 references

Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2andec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2azdec

0 references

cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2amdec

0 references

Defining formula

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

C1.S4.SS4.m1azdec

0 references

Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3azdec

0 references

Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1ahdec

0 references

Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2aldec

0 references

Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1vdec

0 references

Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1vdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3097&oldid=56354"

Navigation menu