Bessel function ...

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1. Mar 11, 2016

Aleen Muhammed

Hello ..
I have research on derivative Bessel type II and type III function (function Henkel),
I can not get it ..

2. Mar 11, 2016

phyzguy

What don't you get? Have you tried reading through the Wikipedia entry on Bessel functions or studying a textbook? You need to ask specific questions about things you don't understand.

3. Mar 11, 2016

drvrm

well , do you wish to solve Bessel's equation or use Bessel's function as solution of your PDE.-we do not know!
I remember i used to consult a book on special function by Abramowitch and stegun ,which was a compendium on special functions. for an intro you can also.consult wikipedia
ref;
1. Abramowitz, M. and Stegun, I. A. (Eds.). "Bessel Functions and [URL]http://mathworld.wolfram.com/images/equations/BesselFunctionoftheSecondKind/Inline49.gif."[/URL] §9.1 in [I][URL='https://www.amazon.com/exec/obidos/ASIN/0486612724/ref=nosim/ericstreasuretro']Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.[/URL][/I] New York: Dover, pp. 358-364, 1972.
2. [URL]http://mathworld.wolfram.com/BesselFunctionoftheSecondKind.html[/URL]
But G.N. watson 's book on it is very good for theory part
3. Watson, G. N. [I][URL='https://www.amazon.com/exec/obidos/ASIN/0521483913/ref=nosim/ericstreasuretro']A Treatise on the Theory of Bessel Functions, 2nd ed.[/URL][/I] Cambridge, England: Cambridge University Press, 1966.

Last edited by a moderator: May 7, 2017
4. Mar 11, 2016

Aleen Muhammed

I am sorry, but I really needed everything about Bessel function because it is a topic of research my graduation, and I do not speak English dramatically so I find it difficult to explain that I want well. Can you help me get references from the Bessel function. Please ...

5. Mar 11, 2016

Aleen Muhammed

Last edited by a moderator: May 7, 2017
6. Mar 11, 2016

Aleen Muhammed

Now I want to prove Naumann Bessel equation and the equation of Henkel. I want a full proof, because I have never study Bessel function.

7. Mar 11, 2016

SteamKing

Staff Emeritus
Both Abramowitz & Stegun and the book by G.N. Watson are available on the internet. All you have to do is Google them.

8. Mar 11, 2016

Aleen Muhammed

When I try to get these books it shows that to buy it, I do not know how to get it from Google.
For example, I'm trying to get this book I did not
http://www.jstor.org/stable/41134001?seq=1#page_scan_tab_contents

9. Mar 11, 2016

Aleen Muhammed

Does one of you can speak Arabic even explain to him that I want to clearly ..

10. Mar 11, 2016

SteamKing

Staff Emeritus
You don't have to buy these books if you don't want to.

Abramowitz & Stegun has been scanned and put on the internet for reference.

http://people.math.sfu.ca/~cbm/aands/

You can even find a version as an Acrobat file if you look hard enough.

Ditto with the work by G.N. Watson. It has been out of print for a number of years and a copy can be downloaded from the Internet Archive:

https://archive.org/details/ATreatiseOnTheTheoryOfBesselFunctions

11. Mar 12, 2016

Aleen Muhammed

Thank you so much sir , for your help .