‎In this paper‎, ‎the numerical solutions of linear and nonlinear Volterra integral‎ ‎equations with nonvanishing delay are considered by two methods‎. ‎The methods are developed by means of‎ ‎the sinc approximation with the single exponential (SE) and double exponential (DE)‎ ‎transformations‎. ‎The existence and uniqueness of sinc-collocation solutions for these equations are provided‎. ‎Thes...

The class S of functions g(z) = z + c 2 z 2 + c 3 z 3 + ... analytic and univalent in the unit disk Izr < 1 has been thoroughly studied, and its properties are well known. Our purpose is to investigate another class of functions which, by contrast, seems to have been rather neglected. This is the class S o of functions f ( z ) = 1 + a 1 z + a 2 z Z + . . , analytic, univalent, and nonvanishing ...

7 Faltings’ Theorem 36 7.1 Heights . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 7.2 Height Lower Bounds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 7.3 Removing the Nonvanishing Hypothesis . . . . . . . . . . . . . . . . . . . . . . . . . 45 7.4 Proof of Nonvanishing . . . . . . . . . . . . . . . . . . . . . . . . . . . ...