Polyconvolution and the Toeplitz plus Hankel integral equation

Abstract

In this article we introduce a polyconvolution which related to the Hartley and Fourier cosine transforms. We prove some properties of this polyconvolution, and then solve a class of Toeplitz plus Hankel integral equations and systems of two Toeplitz plus Hankel integral equations.

Keywords

• Convolution
• polyconvolution
• integral equation
• integral transform
• Toeplitz plus Hankel