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Math Help - Limit of sum of factorials/beta functions

  1. #1
    ory
    ory is offline
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    Limit of sum of factorials/beta functions

    Hi people.
    I am faced with the following limit:
    $$
    lim_{k \rightarrow \infty} \left( \sum_{j=2}^k \frac{{k+a-j-1 \choose {k-j}}}{B(j+b,c)} \right)
    $$
    where a \in N, (b,c) \in R^2 constants, and B(j+b,c) the standard beta function. Of course the choose function can be expressed as a beta as well.
    Can anybody help?
    Thanks in advance.
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  2. #2
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    Quote Originally Posted by ory View Post
    Hi people.
    I am faced with the following limit:
     <br />
\lim_{k \rightarrow \infty} \left( \sum_{j=2}^k \frac{{k+a-j-1 \choose {k-j}}}{B(j+b,c)} \right)
    where a \in N, (b,c) \in R^2 constants, and B(j+b,c) the standard beta function. Of course the choose function can be expressed as a beta as well.
    Can anybody help?
    Thanks in advance.
    Now we can read it.
    Last edited by CaptainBlack; October 12th 2008 at 08:59 PM.
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