A Modified and a Finite Index Weber Transforms

Index transforms with Weber type kernels

New index transforms with Weber type kernels, consisting of products of Bessel functions of the first and second kind are investigated. Mapping properties and inversion formulas are established for these transforms in Lebesgue spaces. The results are applied to solve a boundary value problem on the wedge for a fourth order partial differential equation.

A note on connectivity and lambda-modified Wiener index

In theoretical chemistry, -modified Wiener index is a graph invariant topological index to analyze the chemical properties of molecular structure. In this note, we determine the minimum -modified Wiener index of graph with fixed connectivity or edge-connectivity. Our results also present the sufficient and necessary condition for reaching the lower bound.

Classical Wavelet Transforms over Finite Fields

This article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. We present a concrete formulation for the Frobenius norm of the classical wavelet transforms over finite fields. It is shown that each vector defined over a finite field can be represented as...

A note on the comparison between Laplace and Sumudu transforms

Congenital Glaucoma from Sturge-Weber Syndrome: A Modified Surgical Approach

Sturge-Weber syndrome (SWS) is a rare congenital neurocutaneous disorder that causes congenital glaucoma. Previous experiences have shown that drainage procedures are often required to control associated glaucoma. The conventional surgical approach in trabeculectomy carries a significant risk of intraoperative expulsive hemorrhage. Here, we describe a modified approach of the conventional trabe...