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Bessel function ...

  1. Mar 11, 2016 #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:
     
  2. jcsd
  3. Mar 11, 2016 #2

    phyzguy

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    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.
     
  4. Mar 11, 2016 #3
    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='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
  5. Mar 11, 2016 #4
    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 ...
     
  6. Mar 11, 2016 #5
     
    Last edited by a moderator: May 7, 2017
  7. Mar 11, 2016 #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.
     
  8. Mar 11, 2016 #7

    SteamKing

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    Both Abramowitz & Stegun and the book by G.N. Watson are available on the internet. All you have to do is Google them.
     
  9. Mar 11, 2016 #8
    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
     
  10. Mar 11, 2016 #9
    Does one of you can speak Arabic even explain to him that I want to clearly ..
     
  11. Mar 11, 2016 #10

    SteamKing

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    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
     
  12. Mar 12, 2016 #11
    Thank you so much sir , for your help .
     
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