Solve Derivative Bessel Function (Type II & III) - Help Needed

[Aleen Muhammed]

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

 

[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.

 

[drvrm]

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

and http://mathworld.wolfram.com/images/equations/BesselFunctionoftheSecondKind/Inline49.gif." §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.

 

[Aleen Muhammed]

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 ...

 

[Aleen Muhammed]

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 http://mathworld.wolfram.com/images/equations/BesselFunctionoftheSecondKind/Inline49.gif." §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

 

[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.

 

[SteamKing]

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.

 

[Aleen Muhammed]

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

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

 

[Aleen Muhammed]

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

 

[SteamKing]

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

 

[Aleen Muhammed]

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 .