On the Evaluation of Generalized Conditional Yeh-Wiener Integrals

Abstract

In this paper, we evaluate the generalized conditional Yeh-Weiner integrals for a hyperbolic region Ω. To do so, we first treat the concept of the generalized Yeh-Wiener space and conditional Yeh-Wiener integral introduced in [4]. And we also treat the simple formula for the generalized conditional Yeh-Wiener integral, which plays a key role in evaluating this integral. Finally, we evaluate the generalized conditional Yeh-Wiener integrals for a region Ω containing hyperbola.