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On generalized space of quaternions and its application to a class of Mellin transforms

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dc.contributor.author Al-Omari, Shrideh Khalaf Qasem
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-04-06T20:57:28Z
dc.date.available 2020-04-06T20:57:28Z
dc.date.issued 2016
dc.identifier.citation Al-Omari, Shrideh Khalaf Qasem; Baleanu, Dumitru, "On generalized space of quaternions and its application to a class of Mellin transforms", Journal of Nonlinear Sciences and Applications, Vol. 9, No. 6, pp. 3898-3908, (2016). tr_TR
dc.identifier.issn 2008-1898
dc.identifier.issn 2008-1901
dc.identifier.uri http://hdl.handle.net/20.500.12416/2934
dc.description.abstract The Mellin integral transform is an important tool in mathematics and is closely related to Fourier and bi-lateral Laplace transforms. In this article we aim to investigate the Mellin transform in a class of quaternions which are coordinates for rotations and orientations. We consider a set of quaternions as a set of generalized functions. Then we provide a new definition of the cited Mellin integral on the provided set of quaternions. The attributive Mellin integral is one-to-one, onto and continuous in the quaternion spaces. Further properties of the discussed integral are given on a quaternion context. (C) 2016 All rights reserved. tr_TR
dc.language.iso eng tr_TR
dc.publisher Int Scientific Research Publications tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Mellin Transform tr_TR
dc.subject Rotations tr_TR
dc.subject Quaternions tr_TR
dc.subject Laplace Transform tr_TR
dc.subject Boehmians tr_TR
dc.title On generalized space of quaternions and its application to a class of Mellin transforms tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Nonlinear Sciences and Applications tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 9 tr_TR
dc.identifier.issue 6 tr_TR
dc.identifier.startpage 3898 tr_TR
dc.identifier.endpage 3908 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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