Mathematics – Classical Analysis and ODEs
Scientific paper
2005-05-07
Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 120 (October 1996), no. 3, pp. 391--401. MR1388195 (97a:
Mathematics
Classical Analysis and ODEs
AMSTeX; Math Reviews MR #97a:11132
Scientific paper
We prove a remarkable formula of Ramanujan for the logarithmic derivative of the gamma function, which converges more rapidly than classical expansions, and which is stated without proof in Ramanujan's notebooks. The formula has a number of very interesting consequences which we derive, including an elegant hyperbolic summation, Ramanujan's formula for the Riemann zeta function evaluated at the odd positive integers, and new formulae for Euler's constant, gamma.
No associations
LandOfFree
Ramanujan's formula for the logarithmic derivative of the gamma function does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Ramanujan's formula for the logarithmic derivative of the gamma function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ramanujan's formula for the logarithmic derivative of the gamma function will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-489103