Quaternion Stieltjes Transform and Quaternion Laplace-Stieltjes Transform

Khinal Parmar; V. R. Lakshmi Gorty

doi:10.26713/cma.v12i3.1532

Authors

Khinal Parmar Department of Basic Science and Humanities, NMIMS, MPSTME, Mumbai
V. R. Lakshmi Gorty Department of Basic Science and Humanities, NMIMS, MPSTME, Mumbai

DOI:

https://doi.org/10.26713/cma.v12i3.1532

Keywords:

Quaternion Stieltjes transform, Quaternion Laplace-Stieltjes transform, Convolution theorem, Applications

Abstract

In this study, we introduce quaternion Stieltjes transform. Various properties of the quaternion Stieltjes transform are derived. We also define quaternion Laplace-Stieltjes transform and operational properties of quaternion Laplace-Stieltjes transform are established. The theory is supported with applications in mathematical physics.

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