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 ...

Conjectures on the Taylor Series Expansion Coefficients of the Jacobian Elliptic Function $\mathrm {sn} (x, k)$, Mathematics of Computation, Vol. 37, No. 156 (Oct., 1981), pp. 475-494 ...

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 family of functions, generically hyperelliptic ...

IT would be difficult to exaggerate the part which the study of elliptic functions has played in the pure mathematics of the present century. And this was to be expected; for whether we regard ...

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”.