(adsbygoogle = window.adsbygoogle || []).push({}); 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

Anyone can help about this? please, as i said in my previous post, no interpolation, and only continuous function is wanted,

and Thanks

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# Continuous Function for this please

**Physics Forums | Science Articles, Homework Help, Discussion**