Continue to Site

Welcome to EDAboard.com

Welcome to our site! EDAboard.com is an international Electronics Discussion Forum focused on EDA software, circuits, schematics, books, theory, papers, asic, pld, 8051, DSP, Network, RF, Analog Design, PCB, Service Manuals... and a whole lot more! To participate you need to register. Registration is free. Click here to register now.

Need information in deriving first integral of Bessel's function.

Status
Not open for further replies.

Alan0354

Full Member level 4
Joined
Sep 6, 2011
Messages
214
Helped
30
Reputation
60
Reaction score
29
Trophy points
1,308
Activity points
2,709
Can anyone give me the proof or point me to a link to derive this First Integral of Bessel's Function.

\[J_n(x)=\frac{j^{-n}}{\pi}\int_0^{\pi}\cos(n\phi)e^{jx\cos \phi}d\phi\]

I have been searching all over and can't find the derivation. In fact, other than some basic Bessel's identities that is shown in one PDE book, I have yet to find anything.

Thanks
 

Try to use W.Mathematica or site _http://www.wolframalpha.com/input/?i=integrate+%28cos%28x%29+exp%28I+x+cos%28x%29%29%29+from+x%3D0+to+Pi
 

Status
Not open for further replies.

Similar threads

Part and Inventory Search

Welcome to EDABoard.com

Sponsor

Back
Top