On Singular Points and Oscillatory Integrals

Abstract

In this note, we generalize the Fresnel integrals using oscillatory integral, and then we obtain an extention of the stationary phase method.

arXiv comment7 pages

Cited by in corpus (3)

• Generalized Fresnel integrals as oscillatory integrals with positive real power phase functions and applications to asymptotic expansions
• On the numerical evaluation of real-time path integrals: Double exponential integration and the Maslov correction
• On asymptotic expansions of oscillatory integrals with phase functions expressed by a product of positive real power function and real analytic function in one variable