Vignéras's multiple gamma function is introduced as a function satisfying a generalization of the Bohr-Mollerup theorem. An infinite product representation and an asymptotic expansion of the function ...

IN the preface to his "Elliptic Functions", written in 1892, Prof. A. G. Greenhill complained that, although the subject was then nearly seventy years old, it had not made its way into the ...

Mathematics of Computation, Vol. 37, No. 156 (Oct., 1981), pp. 475-494 (20 pages) Two conjectures are posed for the coefficients introduced by Alois Schett in the Taylor series expansion of the ...

body, thus we call it N-extended Euler system. Denoting ω = (ω 1, … , ω N), the function Ω (υ) = ⃦ω ⃦ 2 generalizes the Weierstrass elliptic function. For each dimension N ≥ 5 the system defines a ...

According to theoretical predictions, within a millionth of a second after the Big Bang, nucleons had not yet formed, and ...

Dynamics on and off elliptic curves (I) Felix Klein said that the study of new transcendental functions defined by differential equations was “the central problem of the whole of modern mathematics”.