1. Feb 1, 2006

TheDestroyer

Continuous Function for this please !!

Hi guys,

Whats the continuous function instead of this?

f = 1/a + 1/(a+1) + 1/(a+2) + 1/(a+3) + ... + 1/(a+(n-1))

or

f = 1/a + 1/(a-1) + 1/(a-2) + 1/(a-3) + ... + 1/(a-(n-1))

(a) is any number, and i want n to not be only an integer, i want it to be generalized as we did for (n-1)! = Gamma(n)

I know riemann zeta function but it takes the sum to the infinity, i want it only to a specific REAL number

and Thanks

2. Feb 1, 2006

3. Feb 1, 2006

TheDestroyer

HOW???????????? Any one can help me with this?????

The Equation (6) has a some to infinity !! can you guide me?

4. Feb 2, 2006

TheDestroyer

Thanks Any way, I fixed the problem using the harmonic numbers,