The Dawson Transform and its Applications
- Osman Yurekli,
- Durmuş ALBAYRAK,
- Fatih AYLIKCI,
- Neşe Dernek
Abstract
Some properties of the Dawson Integral are presented first in the
current work, followed by the introduction of the Dawson Integral
Transform. Iteration identities and relationships, similar to the
Parseval Goldstein type, are established involving various well-known
integral transforms, such as the Laplace Transform, the L 2 -Transform,
and the Dawson Integral for the new integral transform. Furthermore,
improper integrals of well-known functions, including the Dawson
Integral, Exponential Integral, and the Macdonald Function, are
evaluated using the results obtained.