Bessel function ...

  • #1
Hello ..
I have research on derivative Bessel type II and type III function (function Henkel),
I can not get it ..
Please help me.:cry:
 

Answers and Replies

  • #2
phyzguy
Science Advisor
4,845
1,793
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
963
214
I have research on derivative Bessel type II and type III function (function Henkel),

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
Inline48.gif
and [URL]http://mathworld.wolfram.com/images/equations/BesselFunctionoftheSecondKind/Inline49.gif."[/URL] §9.1 in [I][URL='']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='']A Treatise on the Theory of Bessel Functions, 2nd ed.[/URL][/I] Cambridge, England: Cambridge University Press, 1966.
 
Last edited by a moderator:
  • #4
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.

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
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
Inline48.gif
and [URL]http://mathworld.wolfram.com/images/equations/BesselFunctionoftheSecondKind/Inline49.gif."[/URL] §9.1 in [I][URL='']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='']A Treatise on the Theory of Bessel Functions, 2nd ed.[/URL][/I] Cambridge, England: Cambridge University Press, 1966.[/QUOTE]


I want solve Bessel's equation and use Bessel's function ، How can I get books proposed by please, I do not buy it because it is not available in my country
 
Last edited by a moderator:
  • #6
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
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
12,798
1,670
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.
Both Abramowitz & Stegun and the book by G.N. Watson are available on the internet. All you have to do is Google them.
 
  • Like
Likes Aleen Muhammed
  • #9
Does one of you can speak Arabic even explain to him that I want to clearly ..
 
  • #10
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
12,798
1,670
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
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
 
  • Like
Likes Aleen Muhammed
  • #11
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

Thank you so much sir , for your help .
 

Related Threads on Bessel function ...

  • Last Post
Replies
22
Views
17K
  • Last Post
Replies
4
Views
930
Replies
2
Views
872
  • Last Post
Replies
1
Views
734
Replies
1
Views
730
Replies
6
Views
1K
Replies
1
Views
251
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
11
Views
37K
Replies
4
Views
735
Top