On the Expressibility of a Uniform Function of Several Complex Variables as the Quotient of Two Functions of Entire Character
T. H. Gronwall · Transactions of the American Mathematical Society · 1917
In the theory of Theta functions, this condition expresses the fact that the period system •rn, Ti2, 1-22 is non-singular.f This has the advantage of simplifying the convergence proof for the series (19).* The following investigation is closely related to one made by Appell to an entirely different purpose in his paper Sur les fonctions périodiques de deux variables, Journal de Mathé-