I am studying Bessel Function in my antenna theory book, it said:

I understand:

Can you show me how do I get to

I tried but it is not easy. Please help.

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- July 19th 2013, 04:25 PMAlan0354Please help derivation of this integration
I am studying Bessel Function in my antenna theory book, it said:

I understand:

Can you show me how do I get to

I tried but it is not easy. Please help. - July 20th 2013, 12:57 AMzzephodRe: Please help derivation of this integration
- July 20th 2013, 01:50 AMAlan0354Re: Please help derivation of this integration
- July 20th 2013, 08:04 AMzzephodRe: Please help derivation of this integration
- July 20th 2013, 11:55 AMAlan0354Re: Please help derivation of this integration
- July 20th 2013, 03:22 PMAlan0354Re: Please help derivation of this integration

is real.

But I still don't get the part of it and the interval of [0, ]. - July 20th 2013, 05:33 PMtopsquarkRe: Please help derivation of this integration
- July 20th 2013, 06:30 PMAlan0354Re: Please help derivation of this integration
- July 20th 2013, 10:52 PMAlan0354Re: Please help derivation of Bessel Function
I worked on a few more steps:

With this, for m=even. That is not going to get the answer. Also, how do you change to ? - July 21st 2013, 12:36 AMAlan0354Re: Please help derivation of Bessel Function
- July 21st 2013, 01:45 PMAlan0354Re: Please help derivation of Bessel Function
Hi

**Zzephod**, You are right. I since work on a few more steps

As for

For m=odd, and

For m=even,

For m=0 m=2 m=4 .......Therefore not

What did I do wrong this time? - July 22nd 2013, 01:34 AMAlan0354Re: Please help derivation of Bessel Function
Stupidity strikes again!!! I just realize !!!! So

- July 22nd 2013, 02:23 AMzzephodRe: Please help derivation of Bessel Function
- July 22nd 2013, 12:16 PMAlan0354Re: Please help derivation of Bessel Function

How do I proof

AND

Thanks - July 22nd 2013, 05:45 PMAlan0354Re: Please help derivation of Bessel Function
There is no easy answer or easy way to integrate AND

I tried Where you need to solve

I tried Where you need to solve .

Please help

Thanks