The present note generalizes Wallis’ formula, 2  =  . 7 6 . 5 6 . 5 4 . 3 4 . 3 2 . 1 2 , using the EulerMascheroni constant g and the Glaisher-Kinkelin constant A: 2 ln 2 4 = 3 3 2 . 1 2 . 5 4 3 4

REFERENCES Wallis G. B., One-Dimensional Two-Phase Flow. McGraw-Hill, New York 1969. Foscolo P. U. and Gibilaro L. G., Chem. Engng Sci. 1984 39 1667. Gibilaro L. G., Di Felice R., Waldram S. P. and Foscolo P. Il., Chem. Engng Sci. 1985 4

A Steiner star for a set P of n points in R connects an arbitrary center point to all points of P , while a star connects a point p ∈ P to the remaining n−1 points of P . All connections are realized by straight line segments. Fekete and Meijer showed that the minimum star is at most √ 2 times longer than the minimum Steiner star for any finite point configuration in R. The maximum ratio betwee...

One of the earliest examples of analytic representations for π is given by an infinite product provided by Wallis in 1655. The modern literature often presents this evaluation based on the integral formula 2 π ∫ ∞ 0 dx (x + 1) = 1 2 (