Register to reply

Bessel function of order 1

by alexmahone
Tags: bessel, function, order
Share this thread:
alexmahone
#1
Mar14-12, 01:31 PM
P: 57
Prove that [itex]J_1(x)=\frac{1}{\pi}\int_0^\pi\cos(\theta-x\sin\theta)d\theta[/itex] by showing that the right-hand side satisfies Bessel's equation of order 1 and that the derivative has the value [itex]J_1'(0)[/itex] when [itex]x=0[/itex]. Explain why this constitutes a proof.
Phys.Org News Partner Science news on Phys.org
Scientists develop 'electronic nose' for rapid detection of C. diff infection
Why plants in the office make us more productive
Tesla Motors dealing as states play factory poker

Register to reply

Related Discussions
Second Solution to Bessel's Function of order zero Differential Equations 1
Converting 2nd order ODE to Bessel Function Calculus & Beyond Homework 4
Bessel Function order 1 Differential Equations 5
Ploting zero order Bessel function.. Differential Equations 3