An algorithm for evaluating the Gamma function and ramifications
D. Karayannakis
TL;DR
This paper introduces a novel algorithm for evaluating the gamma function at rational points and presents a new infinite product representation that avoids constants like Euler and Mascheroni, along with related formulas and inequalities.
Contribution
The paper presents a new algorithm for gamma function evaluation and a novel infinite product representation free from certain constants, along with new formulas and inequalities.
Findings
Effective gamma function evaluation at rational points
New infinite product representation without Euler or Mascheroni constants
Additional formulas and inequalities derived from the method
Abstract
We provide a new algorithm for evaluating the gamma function at any (rational) point and a new infinite product representation free from the presence of Euler and Mascheroni constant.Formulae and inequalities seemingly new are obtained as byproducts of the method.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Inequalities and Applications · Matrix Theory and Algorithms · Mathematical functions and polynomials