Proving the Relation for the First Kind Bessel Function: My Scientific Discovery

Click For Summary

Homework Help Overview

The discussion revolves around proving a relation for the Bessel function of the first kind, a topic within mathematical analysis and special functions.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants inquire about the original poster's attempts and progress on the proof. Questions are raised regarding the handling of integrals and sums involved in the proof.

Discussion Status

The discussion includes inquiries about the original poster's progress and understanding of the problem. Some participants are seeking clarification on specific mathematical components, while others are prompting for more details on the original poster's approach.

Contextual Notes

There appears to be uncertainty regarding the methods to approach the integral and summation related to the Bessel function, indicating potential gaps in the original poster's understanding or resources.

Elliptic
Messages
33
Reaction score
0
prove the relation for the Bessel function of first kind
 

Attachments

  • prove.gif
    prove.gif
    2 KB · Views: 524
Physics news on Phys.org
have you started to attempt to do this?
if so show us how far you got
 
genericusrnme said:
have you started to attempt to do this?
if so show us how far you got

Is this ok? What shoud I do with integral and summ? Don't have an idea.
How to solve that integral?
 

Attachments

  • prove.gif
    prove.gif
    4.6 KB · Views: 546
I did it.
 
Last edited:

Similar threads

Is this integral correct? (expanding the Bessel function into power series )
  • · Replies 3 ·
Replies
3
Views
1K
Question about the Frobenius method and Bessel functions
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Infinite product representation of Bessel's function of the 2nd kind
  • · Replies 2 ·
Replies
2
Views
4K
Derivative of a term within a sum
  • · Replies 5 ·
Replies
5
Views
3K
Problem while playing with Bessel functions
  • · Replies 3 ·
Replies
3
Views
2K
Finding 2 solutions of this Bessel's function using a power series
  • · Replies 8 ·
Replies
8
Views
2K
Integration with Bessel function
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad What is the indefinite integral of Bessel function of 1 order (first k
  • · Replies 5 ·
Replies
5
Views
2K
An integral of Bessel functions
  • · Replies 2 ·
Replies
2
Views
2K
Symbolic integration of a Bessel function with a complex argument
  • · Replies 5 ·
Replies
5
Views
4K