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Write this Equation using Mathematica

  1. Jun 29, 2009 #1
    Hello everyone,

    I have the following equation, and I want to write it using mathematica:

    attachment.php?attachmentid=19507&stc=1&d=1246303265.jpg
    where:
    attachment.php?attachmentid=19506&stc=1&d=1246303265.jpg
    and:
    attachment.php?attachmentid=19505&stc=1&d=1246303265.jpg

    Where [tex]\Psi[/tex] is the tricomi's confluent hypergeometric function, built-in Mathimatica as HypergeometricU[ , , ].
    Can any one help me, please?
    Thanks in advance
    Best regards
     

    Attached Files:

  2. jcsd
  3. Jun 30, 2009 #2

    Dale

    Staff: Mentor

    I don't understand. What exactly is the difficulty? It seems straightforward, especially since you already know HypergeometricU.
     
  4. Jun 30, 2009 #3
    Than you DaleSpam for replying. Actually, I took this equation from a paper which plotted it. When I tried to so do, the program gave may little bit different results, so, I thought that I wrote the program incorrectly using Mathematica. But after I posted this thread, I solved the problem, which was a matter of signs and powers.

    Sorry for that, and thanks again.

    Regards
     
  5. Aug 4, 2009 #4
    how we can find the law of formation of sequence in mathimatica????????????? plzzz help.
     
  6. Aug 4, 2009 #5

    Dale

    Staff: Mentor

    Hi Mike^now, welcome to PF

    What does "law of formation of sequence" mean?
     
  7. Aug 9, 2009 #6
    it is a general rule to write a sequence. like 1/2,1/4,1/8/1/16,1/32.... has a general rule (1/2^n. where n = number of term.
     
  8. Aug 9, 2009 #7

    Dale

    Staff: Mentor

    That is not possible to do in general. No matter how many terms you write out, unless you already know the rule, you cannot know the next term.

    For example, with the sequence you gave the next number could be 1/32, or the sequence could be cyclic and the next number could be 1/2 again, or it could be a bitshift of a floating point number with 5 bits of precision so that the next term is 0, etc.
     
  9. Aug 13, 2009 #8

    Dale

    Staff: Mentor

    Hmm, apparently they have a function which tries anyway:
    FindSequenceFunction
     
  10. Aug 30, 2009 #9
    This function does not provide general term of sequence ( 4/3,5/4,6/5,7/6.....)

    By writting FindSequenceFunction[{1, 4/3, 5/4, 6/5, 7/6, 8/7, 9/8}, n] produce as it is. no result.

    even i tried sequence starting from 0 as well as from 1 and still it does not produce any formula of genral term.
     
    Last edited: Aug 30, 2009
  11. Sep 1, 2009 #10

    Dale

    Staff: Mentor

    Well, that does not surprise me. As I said, it is fundamentally an impossible question. It is pretty impressive that it ever works.
     
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