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Browsing Research Outputs by Department "Department of Mathematics, Marmara University"

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    The q-analogue of the e2;1-transform and its applications
    (2016) Salem, Ahmed; Uçar, Faruk; Department of Mathematics, Marmara University
    In this paper, we introduce a new integral transform qe2;1, which is the q-analogue of the e2;1-transform and can be regarded as a q-extension of the e2;1-transform. Some identities involving qL2-transfom, qL2-transfom, and Pq-transform are given. By making use of these identities and qe2;1-transform, a new Parseval-Goldstein type theorem is obtained. Some examples are also given as an illustration of the main results presented here. © TÜBITAK.