Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Let $\Gamma(x)$ be the gamma function and $\Psi(x)$ the digamma function. Define:

$f(x_1,\ldots,x_n) = \sum_{i=1}^n \left( (\Psi(x_i) - \Psi(\sum_i x_i))(c_i - x_i) - \log \Gamma(\sum_i x_i) + \log \Gamma(x_i) \right)$

where $c_i$ are constants.

What is the maximum over $x_i \ge 0$ for this function $f(x)$?

share|improve this question
    
Why do you need that? –  Beni Bogosel Jul 6 '11 at 20:00
    
it came up during a derivation. –  gammer Jul 6 '11 at 20:30
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.