Integration bessel function (simple)

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
2 replies · 3K views
lavster
Messages
213
Reaction score
0
Can someone confirm that [tex]\int J_0(ax)xdx=\frac{J_1(ax)x}{a}[/tex]? I can only find the solution if J(x) but i want J(ax) so what i did above makes logical sense to me but i can't find it anywhere. thanks
 

Discussion

Physics news on Phys.org
That's alright.
Just let x=t/a and dx=dt/a in order to prove it.
 

Similar threads

Graduate Bessel functions of imaginary order

  • KariK
  • · Replies 2 ·
  • Differential Equations
Replies
2

Graduate Example of Ritz method with Bessel functions for trial function

  • member 428835
  • · Replies 5 ·
  • Differential Equations
Replies
5

Bessel Function: a^2-b^2 Integral Relationship

  • Another1
  • · Replies 1 ·
  • Differential Equations
Replies
1

Expanding Bessel function into power series and integrating term by term

  • Rfael
  • · Replies 3 ·
  • Calculus and Beyond Homework Help
Replies
3

High School Bessel Function of 1st and 2nd Kind

  • wasi-uz-zaman
  • · Replies 1 ·
  • Differential Equations
Replies
1

How does the Bessel Function Expansion relate to J_{0}(u+v)?

  • Another1
  • · Replies 3 ·
  • Differential Equations
Replies
3

Undergrad Limit of spherical bessel function of the second kind

  • Mr. Rho
  • · Replies 6 ·
  • Differential Equations
Replies
6

Symbolic integration of a Bessel function with a complex argument

  • ocmaxwell
  • · Replies 5 ·
  • MATLAB, Maple, Mathematica, LaTeX
Replies
5

Bessel functions and the equations they solve

  • Ackbach
  • · Replies 1 ·
  • Differential Equations
Replies
1

Undergrad Integration of Bessel function products (J_1(x)^2/xdx)

  • euphoricrhino
  • · Replies 1 ·
  • Quantum Physics
Replies
1