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

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dc.authoridAl-Omari, Shrideh/0000-0001-8955-5552
dc.authorscopusid14828685700
dc.authorscopusid7005872966
dc.authorwosidBaleanu, Dumitru/B-9936-2012
dc.authorwosidAl-Omari, Shrideh/E-5065-2017
dc.contributor.authorAl-Omari, Shrideh Khalaf Qasem
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-04-06T20:57:28Z
dc.date.available2020-04-06T20:57:28Z
dc.date.issued2016
dc.departmentÇankaya Universityen_US
dc.department-temp[Al-Omari, Shrideh Khalaf Qasem] Al Balqa Appl Univ, Fac Engn Technol, Dept Phys & Basic Sci, Amman 11134, Jordan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Eskisehir Yolu 29 Km, TR-06810 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romaniaen_US
dc.descriptionAl-Omari, Shrideh/0000-0001-8955-5552en_US
dc.description.abstractThe 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.en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.citationAl-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).en_US
dc.identifier.doi10.22436/jnsa.009.06.37
dc.identifier.endpage3908en_US
dc.identifier.issn2008-1898
dc.identifier.issn2008-1901
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-84990036874
dc.identifier.scopusqualityN/A
dc.identifier.startpage3898en_US
dc.identifier.urihttps://doi.org/10.22436/jnsa.009.06.37
dc.identifier.volume9en_US
dc.identifier.wosWOS:000386871300037
dc.identifier.wosqualityN/A
dc.language.isoenen_US
dc.publisherint Scientific Research Publicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMellin Transformen_US
dc.subjectRotationsen_US
dc.subjectQuaternionsen_US
dc.subjectLaplace Transformen_US
dc.subjectBoehmiansen_US
dc.titleOn generalized space of quaternions and its application to a class of Mellin transformstr_TR
dc.titleOn Generalized Space of Quaternions and Its Application To a Class of Mellin Transformsen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationf4fffe56-21da-4879-94f9-c55e12e4ff62
relation.isAuthorOfPublication.latestForDiscoveryf4fffe56-21da-4879-94f9-c55e12e4ff62

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