Title of article :
Quaternion Hankel Transform and its Generalization
Author/Authors :
Parmar ، Khinal Department of Basic Science and Humanities - NMIMS - Mukesh Patel School of Technology Management Engineering ( MPSTME) , Gorty ، V. R. Lakshmi Department of Basic Science and Humanities - NMIMS - Mukesh Patel School of Technology Management Engineering ( MPSTME)
Abstract :
In this study, the quaternion Hankel transform is developed. Basic operational properties and inversion formula of quaternion Hankel transform are derived. Parseval’s relation for this transform is also established. The generalized quaternion Hankel transform is presented. In the concluding section, we demonstrate the application of the quaternion Hankel transform to Cauchy’s problem.
Keywords :
Hankel transform , Parseval’s relation , Quaternion , generalization
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
