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 $c=f(0)$ be a real number and $n,m$ positive integers. Let $P_k(n)$ be integer polynomials of $n$.

Let $f(n)$ be defined by the recursion $\left[\sum_{k=0}^{m} P_k(n)f(n+k)\right]+P_{-1}(n)=0$.

If $$\lim_{n\to\infty}\frac{f(n+1)}{f(n)} = 1$$ How does one compute $\lim_{n\to\infty}$ $\ln(f(n))/\ln(n)$ ?

share|improve this question
2  
@nbubis: thanks for the edit. –  mick Jan 22 '13 at 20:33
    
Still no answers after 11 months. –  mick Jan 1 at 21:49

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.