Uniform asymptotic approximation of Mathieu functions

The Asymptotic Expansions for the Qdd Periodic Mathieu Functions

The best uniform polynomial approximation of two classes of rational functions

In this paper we obtain the explicit form of the best uniform polynomial approximations out of Pn of two classes of rational functions using properties of Chebyshev polynomials. In this way we present some new theorems and lemmas. Some examples will be given to support the results.

Geometric Asymptotic Approximation of Value Functions∗

This paper characterizes the behavior of value functions in dynamic stochastic discounted programming models near fixed points of the state space. When the second derivative of the flow payoff function is bounded, the value function is proportional to a linear function plus xψδ . A specific formula for ψδ is provided, which implies ψδ continuously falls in the rate of patience. If the state var...

An improved estimate of PSWF approximation and approximation by Mathieu functions

Article history: Received 8 September 2010 Available online 14 December 2010 Submitted by Steven G. Krantz

Uniform asymptotic approximation of diffusion to a small target.

The problem of the time required for a diffusing molecule, within a large bounded domain, to first locate a small target is prevalent in biological modeling. Here we study this problem for a small spherical target. We develop uniform in time asymptotic expansions in the target radius of the solution to the corresponding diffusion equation. Our approach is based on combining expansions of a long...