Correspondence: homidan@kfupm. edu.sa Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, P. O. Box 119, Saudi Arabia Abstract Hankel operators and Hankel transforms are required in a number of applications. This article proves a number of theorems that efficiently and accurately approximates a function using Hankel transforms and Hankel sum....

This paper is contributed to a fast algorithm for Hankel tensor–vector products. First, we explain the necessity of fast algorithms for Hankel and block Hankel tensor–vector products by sketching the algorithm for both one-dimensional and multi-dimensional exponential data fitting. For proposing the fast algorithm, we define and investigate a special class of Hankel tensors that can be diagonal...

A Hankel transform based model is developed to study water wave interaction with an array of thin submerged horizontal perforated and/or elastic circular plates. The integral equations are formulated in terms unknown functions related the jump velocity potential across each plate. Galerkin method adopted solution these and plate expressed Fourier-Gegenbauer series. present found be valid for mu...

An axisymmetric stationary problem of thermoelasticity for a multilayer foundation with imperfect thermal contact between the layers is solved by method compliance functions along Hankel transform. The recurrence relations are constructed auxiliary and neighboring foundation. We analyze influence coefficient resistance on distribution normal tangential stresses temperature at points bottom boun...