Group Abstract Group Abstract

Message Boards Message Boards

0
|
4K Views
|
5 Replies
|
1 Total Like
View groups...
Share
Share this post:

Generalized Bessel function in Wolfram Language

Posted 3 years ago

Hello community, I am a PhD student in strong laser field physics.

I work with the calculation of the differential cross-section and decay rate in the presence of the laser field. I program my calculation using Mathematica. In my calculation, I need the Bessel function. I recognize that the Ordinary Bessel function is defined in Mathematica: BesselJ[n,z]

But, I have a problem with the Generalized Bessel Functions which have two arguments. Are they defined in Mathematica or not?

I appreciate any help from you.

With my best regards.

POSTED BY: Mohamed JAKHA
5 Replies

https://reference.wolfram.com/language/ref/BesselJ.html

Check the Details section, just above the Examples.

POSTED BY: Sander Huisman

Hi Sander,

what can be found related to Generalized Bessel in the details section?

Robert

POSTED BY: Robert Nowak

The definition for n and z :

enter image description here

Friedrich Bessel generalized the differential equation that Bernoulli looked at (the n basically).

POSTED BY: Sander Huisman

Im am not an expert, but I think this is just the definition of the standard Bessel function of the first kind.

Jn[z].

There is only one (complex) variable/dimension z involved, n is just a parameter.

The generalized Version would deal with multiple variables/dimensions.

e.g. Jn[x,y]

Robert

POSTED BY: Robert Nowak

Aaah, maybe! So it has 3 arguments, the author did not provide any example, reference, or anything. So not sure what he/she means.

POSTED BY: Sander Huisman
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Reply Preview
Attachments
Remove
or Discard