An Infinite Product for e^gamma via Hypergeometric Formulas for Euler's Constant, gamma

Details An Infinite Product for e^gamma via Hypergeometric Formulas for Euler's Constant, gamma An Infinite Product for e^gamma via Hypergeometric Formulas for Euler's Constant, gamma

2003-05-31

arxiv.org/abs/math/0306008v1

Mathematics

Classical Analysis and ODEs

5 pages, 1 figure, submitted for publication

Scientific paper

We derive hypergeometric formulas for Euler's constant, gamma. A "by-product" of Thomae's transformation is an infinite product for e^gamma involving the binomial coefficients. Alternate, non-hypergeometric proofs use a double integral for gamma, the beta integral, and an integral for the digamma function. (I thank P. Sebah, S. Zlobin, and W. Zudilin for valuable suggestions used in the paper.)

Affiliated with

Also associated with

No associations

Rating

An Infinite Product for e^gamma via Hypergeometric Formulas for Euler's Constant, gamma 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 An Infinite Product for e^gamma via Hypergeometric Formulas for Euler's Constant, gamma, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Infinite Product for e^gamma via Hypergeometric Formulas for Euler's Constant, gamma will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-141025