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Bull. Korean Math. Soc. 2015; 52(5): 1607-1619

Printed September 30, 2015

https://doi.org/10.4134/BKMS.2015.52.5.1607

Copyright © The Korean Mathematical Society.

Real covering of the generalized Hankel-Clifford transform of Fox kernel type of a class of Boehmians

Praveen Agarwal, S. K. Q. Al-Omari, and Junesang Choi

Anand International College of Engineering, Faculty of Engineering Technology, Dongguk University

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We investigate some generalization of a class of Hankel-Cli\-fford transformations having Fox $H$-function as part of its kernel on a class of Boehmians. The generalized transform is a one-to-one and onto mapping compatible with the classical transform. The inverse Hankel-Clifford transforms are also considered in the sense of Boehmians.

Keywords: Hankel transform, Hankel-Clifford transform, Bessel-Clifford function, Fox $H$-function, Boehmians

MSC numbers: Primary 54C40, 14E20; Secondary 46E25, 20C20

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